From 125f84e83b4c3d000247b0ac0d9c3a837501d3e5 Mon Sep 17 00:00:00 2001
From: Mart Lubbers <mart@martlubbers.net>
Date: Thu, 11 Dec 2014 10:18:12 +0100
Subject: [PATCH] initial commit

---
 docs/ailog_man.pdf          |  Bin 0 -> 184042 bytes
 docs/ker-assignment2.pdf    |  Bin 0 -> 169757 bytes
 pl-ail-files/ailog2.pl      | 2185 +++++++++++++++++++++++++++++++++++
 pl-ail-files/exercise0.pl   |   44 +
 pl-ail-files/exercise10.ail |   44 +
 pl-ail-files/exmbr.ail      |   16 +
 pl-ail-files/heart.ail      |  141 +++
 report/report.tex           |    0
 8 files changed, 2430 insertions(+)
 create mode 100644 docs/ailog_man.pdf
 create mode 100644 docs/ker-assignment2.pdf
 create mode 100644 pl-ail-files/ailog2.pl
 create mode 100644 pl-ail-files/exercise0.pl
 create mode 100644 pl-ail-files/exercise10.ail
 create mode 100644 pl-ail-files/exmbr.ail
 create mode 100644 pl-ail-files/heart.ail
 create mode 100644 report/report.tex

diff --git a/docs/ailog_man.pdf b/docs/ailog_man.pdf
new file mode 100644
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diff --git a/pl-ail-files/ailog2.pl b/pl-ail-files/ailog2.pl
new file mode 100644
index 0000000..22693f7
--- /dev/null
+++ b/pl-ail-files/ailog2.pl
@@ -0,0 +1,2185 @@
+% -*- Mode: Prolog -*-
+% ailog2.pl  logic engine for Artificial Intelligence http://artint.info
+% Copyright (C) 1997-2012, David Poole.
+% This is subject to the GNU Public License (GPL). See user manual for details.
+% Designed for standard Prolog, but only tested on SWI Prolog.
+% It is written in one file to make it easy to use:
+%      Get swi-prolog, double click on this file and it should start!
+
+ailog_version('2.3.6.2',2013).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%          SYSTEM DEPENDENT CODE               %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% the keys to stastics don't seem to be standard. This should cover the cases:
+%% get_runtime(T,Units) gets accumulated runtime from the system
+get_runtime(T,U) :-   catch((statistics(cputime,T),U=secs),_,
+			    (statistics(runtime,[T,_]),U=ms)). % Sicstus/Quintus Prolog
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%          OPERATOR DEFINITIONS                %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% <- is the "if"
+:- op(1150, xfx, <- ).
+% <= is the base-level "if" (it is not used here, but can be used in
+% programs). 
+:- op(1120, xfx, <= ).
+% "&" is the conjunction.
+:- op(950,xfy, &).
+% "~" is the negation
+:- op(900,fy,~).
+% "\=" is inequality
+:- op(700,xfx,\=).
+% "#=" is can't be equal
+:- op(700,xfx,#=).
+%  ":" is used for probability declarations.
+:- op(800,xfx,:).
+
+:- op(1170, fx, tell).
+:- op(1170, fx, ask).
+:- op(1170, fx, whynot).
+:- op(1170, fx, how).
+:- op(1170, fx, how).
+:- op(1170, fx, help).
+:- op(1170,fx,load).
+:- op(1170,fx,prload).
+:- op(1170,fx,cd).
+:- op(1170,fx,bound).
+:- op(1170,fx,stats).
+:- op(1170,fx,listing).
+:- op(1170,fx,clear).
+:- op(1170,fx,askable).
+:- op(1170,fx,assumable).
+:- op(1170,fx,prob).
+:- op(1170,fx,observe).
+:- op(1170,fx,unobserve).
+:- op(1170,fx,predict).
+:- op(1170,fx,deterministic).
+:- op(1170,fx,prob_threshold).
+:- op(1170,fx,arbitrary).
+:- op(1170,fx,allow).
+
+:- dynamic (<-)/2.
+:- dynamic failed/1.
+:- dynamic depth_bound/1.
+:- dynamic askabl/1.
+:- dynamic assumabl/1.
+:- dynamic choice/3.
+:- dynamic alt/1.
+:- dynamic asked/2.
+:- dynamic debugging_failure/0.
+:- dynamic answer_found/0.
+:- dynamic checking_runtime/0.
+:- dynamic lastruntime/1.
+:- dynamic deter/1.
+:- dynamic explanations/4.
+:- dynamic nogood/2.
+:- dynamic anogood/2.
+:- dynamic (prob_threshold)/1.
+:- dynamic pruned_prob/1.
+:- dynamic arbit/2.
+:- dynamic builtin/2.
+
+depth_bound(30).
+prob_threshold(0.000001).
+pruned_prob(0.0).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            AILog Help
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+help_message(['
+AILog Version ',V,' Help','
+
+A clause is of the form','
+  Head <- Body','
+  Head','
+Head is an atom.','
+Body is an expression made up of','
+   Atom','
+   ~ B1           negation as finite failure','
+   B1 & B2        conjunction B1 and B2','
+where B1 and B2 are expressions.','
+
+***** Basic commands:','
+
+tell CLAUSE.           add the clause to the knowledge base','
+askable Atom.          makes Atom askable.','
+
+ask QUERY.             ask if expression QUERY is a consequence of the KB','
+whynot QUERY.          find out why an answer to QUERY was not returned.','
+
+allow G.               allow goal G to use the Prolog definition.','
+bound N.               set search depth-bound to N (default=30)','
+listing.               list all clauses in the knowledge base.','
+listing H.             list clauses in the knowledge base with head H.','
+askables.              list all askables.','
+clear.                 clear the knowledge base','
+clear asked.           clear all user responses','
+clear H.               clear clauses with head H from knowledge base','
+check.                 check the knowledge base for undefined predicates','
+help.                  print this help message','
+help prob.             prints help on probabilistic reasoning','
+help abduction.        prints help on abductive reasoning','
+stats runtime.         turn on runtime statistics','
+quit.                  quit ailog','
+prolog.                exit to Prolog. Type "start." to start ailog again.','
+
+***** Input/Output','
+
+load ''Filename''.      load the clauses in file Filename','
+prload ''Filename''.    load the clauses in Filename, using Prolog''s syntax.','
+cd ''directory''.       changes directory (folder) for loads']) :-
+   ailog_version(V,_).
+
+help_message(prob,[
+'AILog Version ',V,' Probabilistic Reasoning Help','
+
+This help is for probabilistic reasoning in Ailog. This is not useful
+if you are a beginner interested in deductive reasoning.','
+
+AILog implements a version of the independent choice logic that allows
+for probabilities on atoms. These atoms should not be the head of clauses.','
+
+prob a:p.              makes atom a probabilistic with probability p.','
+prob a1:p1,a2:p2,...,ak:pk.  makes atoms ai probabilistic with probability pi.','
+                       a''s are exclusive and covering; the p''s must sum to 1.','
+
+probs.                 list all prob assertions.','
+
+observe QUERY.         observe that QUERY is true','
+predict QUERY.         ask the posterior probability that QUERY is true','
+observations.          list all observations made','
+unobserve.             undo whylast observation','
+unobserve all.         undo all observations','
+explanations.          describe the explanations of the observations','
+worlds.                describe the worlds of the observations','
+
+prob_threshold V.      set the probability threshold to V in range [0,1]','
+prob_threshold.        get the current probability threshold']) :-
+   ailog_version(V,_).
+
+help_message(abduction,[
+'AILog Version ',V,' Abductive Reasoning Help','
+
+This help is for abductive reasoning in AILog. This is not useful if
+you are a beginner interested in deductive reasoning.','
+
+Abduction allows the system to make assumptions to prove a goal, as
+long as the assumptions are consistent.',' The atoms that can be
+assumed are called assumables.',' You use "false" at the head of a
+clause to make constraints.',' After adding assumables or more
+clauses, you need to create nogoods to make sure that inconsistent
+sets of assumables are found.',' Abduction in AILog does not work
+satisfactorily with negation as failure.','
+
+assumable Atoms.       makes (comma-separated) Atoms assumable.','
+assumables.            list all assumables.','
+
+create_nogoods         construct nogoods.','
+nogoods                list nogoods.'
+]) :-
+   ailog_version(V,_).
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            AILog Commands
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+interpret(C) :-
+   file_or_command(C,command),!.
+
+interpret(help) :- !,
+   help_message(Help),
+   write_all(Help).
+interpret(help What) :-
+   help_message(What,Help),!,
+   write_all(Help).
+interpret(help What) :- !,
+   write_all(['No help on "',What,'". Type "help." for more information.']).
+
+interpret((tell _ :- _)) :- !,
+   write_all(['Illegal rule: ":-" is not a legal implication. Use "<-".']).
+interpret((tell C)) :- !,
+   tell_clause(C).
+
+interpret((ask Q)) :- !,
+   retractall(debugging_failure),
+   retractall(answer_found),
+   depth_bound(DB),
+   askq(Q,DB).
+
+interpret((whynot Q)) :- !,
+   depth_bound(DB),
+   (explanations(_,ETs,_,_)
+   ->
+    member(et(E,_),ETs),
+    whynotb(Q,DB,_,E,_)
+    ;
+    whynotb(Q,DB,_,ass([],[],1),_)
+   ).
+
+interpret(clear) :- !,
+   retractall((_ <- _)),
+   retractall(assumabl(_)),
+   retractall(alt(_)),
+   retractall(choice(_,_,_)), 
+   retractall(askabl(_)),
+   retractall(asked(_,_)),
+   retractall(nogood(_,_)),
+   retractall(anogood(_,_)),
+   retractall(explanations(_,_,_,_)),
+   retractall(pruned_prob(_)),
+   retractall(arbit(_,_)),
+   assert(pruned_prob(0.0)).
+
+interpret((clear asked)) :- !,
+   retractall(asked(_,_)),
+   write_all(['User responses cleared.']).
+
+interpret((clear H)) :- !,
+   retractall((H <- _)),
+   retractall(assumabl(H)),
+   ( alt(A) , member(H:_, A)
+      ->
+       retract(alt(A)),
+       forall(member(G:_, A), retract(choice(G,_,_)))
+   ; true),
+   retractall(askabl(H)),
+   retractall(asked(H,_)),
+   (H=(X,V) -> retractall(arbit(X,V));true).
+
+interpret((stats Cmd)) :- !,
+   stats_command(Cmd).
+
+interpret((prload File)) :- !,
+   prolog_load(File).
+
+interpret((load File)) :- !,
+   ci_load(File).
+
+interpret((cd Dir)) :- !,
+   working_directory(_,Dir).
+
+interpret((cd)) :- !,
+   working_directory(_,'~').
+
+interpret((bound)) :- !,
+   depth_bound(N),
+   write_all(['Current depth bound is ',N]).
+
+interpret((bound N)) :- !,
+   (integer(N) ->
+      retract(depth_bound(_)),
+      asserta(depth_bound(N))
+   ; write_all(['Depth bound must be an integer'])).
+
+interpret(quit) :-
+   throw(quit).
+
+interpret(check) :- !,
+   check.
+
+interpret((observe G)) :- !,
+   observe(G).
+
+interpret((predict G)) :- !,
+   predict(G).
+
+interpret(askables) :- 
+   askabl(G),
+   write_all(['askable ',G,'.']),
+   fail.
+interpret(askables) :- !.
+
+interpret(assumables) :- 
+   assumabl(G),
+   write_all(['assumable ',G,'.']),
+   fail.
+interpret(assumables) :- !.
+
+interpret(arbitraries) :- 
+   arbit(X,V),
+   write_all(['arbitrary ',X=V,'.']),
+   fail.
+interpret(arbitraries) :- !.
+
+interpret(probs) :-
+   alt(L),
+   (L=[A:P1,~A:_]
+     ->
+      write_all(['prob ',A,':',P1,'.'])
+   ;
+     write('prob '),
+     writeAllDelim(L,', '),
+     write('.'),
+     nl
+   ),
+   fail.
+interpret(probs) :- !.
+
+interpret((listing)) :- !,
+   interpret((listing _)),
+   interpret(askables),
+   interpret(assumables),
+   interpret(probs),
+   interpret(arbitraries).
+
+interpret((listing H)) :-
+   (H <- B),
+   (B == true 
+   -> write_all([H,'.'])
+   ; write_all([H,' <- ',B,'.'])
+   ),
+   fail.
+interpret((listing _)) :- !.
+
+interpret(unobserve all) :- !,
+   retractall(explanations(_,_,_,_)),
+   retractall(pruned_prob(_)),
+   assert(pruned_prob(0.0)).
+
+interpret(unobserve) :- !,
+   (retract(explanations(_,_,_,_))
+     ->
+      (
+       explanations(_,_,_,Err)
+      ->
+       retractall(pruned_prob(_)),
+       assert(pruned_prob(Err))
+      ;
+       retractall(pruned_prob(_)),
+       assert(pruned_prob(0.0))
+       
+       )
+    ;
+      write_all(['No observations to undo.'])
+   ).
+
+interpret(observations) :- !,
+   (explanations(Obs,_,_,_) ->
+      print_observations(Obs,_)
+   ;  write_all(['There are no observations.'])).
+
+interpret(explanations) :- !,
+   (explanations(_,ETs,_,_) ->
+      print_explanations(ETs,0)
+   ;  write_all(['There are no observations.'])).
+
+interpret(worlds) :- !,
+   (explanations(Obs,Expls,Pr,Err) ->
+	extract_expls(Expls,Sexpls),
+	make_disjoint(Sexpls,Worlds),
+	print_worlds(Worlds,0),
+        (Err=:=0.0
+        ->
+	   write_all(['P(',Obs,') = ',Pr])
+	;
+	 Max is Pr+Err,
+	 write_all(['P(',Obs,') = [',Pr,',',Max,']'])
+	)
+   ;  write_all(['There are no observations.'])).
+
+interpret(prob_threshold V) :-
+     (number(V), V>=0.0, V=<1.0)
+     ->
+	retract(prob_threshold(_)),
+	assert(prob_threshold(V))
+	;
+	write_all(['Argument to prob_threshold must be in range [0,1].']).
+interpret(prob_threshold) :-
+	prob_threshold(V),
+	write_all(['Probability threshold is ',V]).
+
+
+interpret(nogoods) :- !,
+    list_nogoods.
+    
+interpret((A <- B)) :- !,
+   write_all(['Illegal command, ',(A <- B),'. You have to "tell" a clause.']).
+
+interpret(C) :-
+   write_all(['Unknown Command, ',C,'. Type "help." for help.']).
+
+% listifyProbs(St,L0,L1,S0,S1)
+%    St is a probability structure 
+%    L1-L0 is thhe list corresponding to the structure
+%    S1-S0 is the sum of the probabilities
+listifyProbs((X,Y),L0,L2,S0,S2) :- !,
+    listifyProbs(X,L0,L1,S0,S1),
+    listifyProbs(Y,L1,L2,S1,S2).
+listifyProbs((A:P),L0,[A:P|L0],S0,S1) :-
+%    atomic(A),     % we want it to mean its a ailog atom
+%    number(P),
+    P >= 0,
+    S1 is S0+P.
+
+% file_or_command(C,W) C is a command that can be in a file or on the
+% command line, W is either command or file 
+file_or_command((askable G),_) :- !,
+   assertz(askabl(G)).
+
+file_or_command((assumable G),_) :- !,
+   make_assumable(G).
+
+file_or_command((allow G),_) :- !,
+   assertz(builtin(G,true)).
+
+
+file_or_command((prob A:P),W) :- !,
+   (number(P), P>=0, P=<1 ->
+      P1 is 1-P,
+      assertz(alt([A:P,~A:P1])),
+      assertz(choice(A,P,[~A])),
+      assertz(choice(~A,P1,[A]))
+   ;
+       legal_arithmetic_expression(P) ->
+             assertz(alt([A:P,~A:(1-P)])),
+      assertz(choice(A,P,[~A])),
+      assertz(choice(~A,(1-P),[A]))
+
+   ;
+     (W=file 
+      ->
+     write_all(['Error: ',(prob A:P)])
+     ; true),
+     write_all(['Probability must be a number or expression in range [0,1]'])
+   ).
+
+file_or_command((prob APs),W) :- !, 
+   ( (listifyProbs(APs,[],L,0,Sum) )%, Sum > 0.9999999999999, Sum< 1.0000000000001)
+    ->
+      normalise(L,Sum*1.0,LN),
+      assertz(alt(LN)),
+      make_choices(LN)
+   ;
+     (W=file 
+      ->
+     write_all(['Error: ',(prob APs)])
+     ; true),
+      write_all(['Error: command should be: prob a1:p1,a2:p2,...,ak:pk.']),
+      write_all(['       the pi''s must be nonnegative and sum to 1.0'])
+  ).
+
+file_or_command((arbitrary A),W) :- !,
+	A=(X=V)
+	->
+       	assertz(arbit(X,V))
+	;
+	(W=file 
+	->
+	 write_all(['Error: ',(arbitrary A)])
+	; true),
+	write_all(['Error: command should be: arbitrary X=V.']).
+	
+	
+file_or_command((deterministic G),_) :- !,
+   assertz(deter(G)).
+
+file_or_command(create_nogoods,_) :- !,
+   depth_bound(DB),
+   construct_nogoods(DB).
+
+
+legal_arithmetic_expression(N) :- var(N),!.
+legal_arithmetic_expression(N) :- number(N),!.
+legal_arithmetic_expression(E1+E2) :- !,
+	legal_arithmetic_expression(E1),
+	legal_arithmetic_expression(E2).
+legal_arithmetic_expression(E1-E2) :- !,
+	legal_arithmetic_expression(E1),
+	legal_arithmetic_expression(E2).
+legal_arithmetic_expression(E1*E2) :- !,
+	legal_arithmetic_expression(E1),
+	legal_arithmetic_expression(E2).
+legal_arithmetic_expression(E1/E2) :- !,
+	legal_arithmetic_expression(E1),
+	legal_arithmetic_expression(E2).
+
+% make_assumable makes an atom or a comma-separated atoms assumable.
+make_assumable((A,B)) :- !,
+   make_assumable(A),
+   make_assumable(B).
+
+make_assumable(G) :-
+   assertz(assumabl(G)).
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            ASKING
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+askq(Q,_) :-
+   illegal_body(Q,Why),!,
+   write_all(['Illegal query: '|Why]).
+askq(Q,DB) :-
+   retractall(failed(_)),
+   assert(failed(naturally)),
+   reset_runtime,
+   solve(Q,DB,Res,[wrule(yes,true,Q,true)],ass([],[],1),Ass),
+   (answer_found -> true ; assert(answer_found)),
+   mynumbervars((Q,Res,Ass),0,_),
+   report(Q,Res,Ass).
+askq(Q,_) :- 
+   failed(naturally),!,
+   (answer_found
+    ->  write_all(['No more answers.'])
+    ; write_all(['No. ',Q,' doesn''t follow from the knowledge base.'])),
+   report_runtime.
+askq(Q,DB) :- !,
+   ask_failing(Q,DB).
+
+ask_failing(Q,DB) :-
+   write_all(['Query failed due to depth-bound ',DB,'.']),
+   report_runtime,
+   writel(['     [New-depth-bound,where,ok,help]: ']),
+   flush_and_read(Comm),
+   interpret_failing_question(Comm,Q,DB).
+
+% interpret_failing_question(Comm,Q,DB).
+interpret_failing_question(help,Q,DB) :- !,
+   write_all([
+    '     Give one of the following commands:',nl,
+    '        an integer > ',DB,'      to use this depth bound.',nl,
+    '           (use "bound N." to set it permanently).',nl,
+    '        where.  to explore the proof tree where the depth-bound was reached.',nl,
+    '        ok.     to return to the ailog prompt.',nl,
+    '        help.   to print this message.']),
+   ask_failing(Q,DB).
+interpret_failing_question(end_of_file,_,_) :- !.
+interpret_failing_question(ok,_,_) :- !.
+interpret_failing_question(where,Q,DB) :-
+   assert(debugging_failure),
+   askq(Q,DB).
+interpret_failing_question(Comm,Q,_) :-
+   integer(Comm),!,
+   askq(Q,Comm).
+interpret_failing_question(Comm,Q,DB) :-
+   write_all(['   Unknown command, ',Comm,' type "help." for help.']),
+   ask_failing(Q,DB).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            TELLING
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+tell_clause((~ H <- B)) :- !,
+   write_all(['Illegal rule: ~',H,' <- ',B,'.',nl,
+      'You cannot have negation in the head of a clause.']).
+tell_clause((H1 & H2 <- B)) :- !,
+   write_all(['Illegal rule: ',H1 & H2,' <- ',B,'.',nl,
+      'You cannot have a conjunction in the head of a clause.']).
+tell_clause((H1 , H2 <- B)) :- !,
+   write_all(['Illegal rule: ',H1 ,',', H2,' <- ',B,'.',nl,
+      'You cannot have a "," in the head of a clause.']).
+tell_clause((H <- B)) :-
+   !,
+   ( builtin(H,_) ->
+     write_all([H,' is built-in. It cannot be redefined.'])
+   ; illegal_body(B,Why) ->
+     write_all(['Illegal rule: ',H,'<-',B,'. '|Why])
+   ; assertz((H <- B))).
+tell_clause((H :- B)) :-
+   !,
+   write_all(['Illegal rule: ',H,':-',B,'. ":-" is not a legal implication. Use "<-".']).
+tell_clause((A, B)) :-
+   !,
+   write_all(['Error: ',(A,B),' is not a valid clause.']).
+tell_clause((A & B)) :-
+   !,
+   write_all(['Error: ',(A&B),' is not a valid clause.']).
+tell_clause((~A)) :-
+   !,
+   write_all(['Error: ',~A,' is not a valid clause.']).
+tell_clause(H) :-
+   builtin(H,_),!,
+   write_all([H,' is built-in. It cannot be redefined.']).
+tell_clause(H) :-
+   !,
+   assertz((H <- true)).
+
+illegal_body(X,['Variables cannot be atoms. Use call(',X,').']) :- var(X).
+illegal_body((_,_),[' "," is not a legal conjunction. Use "&".']).
+illegal_body((\+ _),[' "\\+" is not a legal negation. Use "~".']).
+illegal_body(!,[' "!" is not supported.']).
+illegal_body([_|_],[' Lists cannot be atoms.']).
+
+illegal_body((A&_),Why) :-
+   illegal_body(A,Why).
+illegal_body((_&A),Why) :-
+   illegal_body(A,Why).
+illegal_body((A;_),Why) :-
+   illegal_body(A,Why).
+illegal_body((_;A),Why) :-
+   illegal_body(A,Why).
+illegal_body((~A),Why) :-
+   illegal_body(A,Why).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            META-INTERPRETER
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% solve(Goal,DepthBnd,PfTree,WhyTree,Ass0,Ass1) 
+%  Goal is the goal to be proved
+%  DepthBnd is the depth bound
+%  PfTree is the proof tree returned
+%  Whytree is a list of wrule(Head,LeftTree,Current,RightBody)
+%  Ass0 is the assumables coming in. 
+%       This is structure of the form ass(As,PAs,P)
+%  Ass1 is the assumables coming out
+solve(true,_,true,_,Ass,Ass) :- !.
+solve((A&B),N,(AT&BT),[wrule(H,LT,_,RB)|WT],A0,A2) :- !,
+   solve(A,N,AT,[wrule(H,LT,A,(B&RB))|WT],A0,A1),
+   solve(B,N,BT,[wrule(H,(LT&AT),B,RB)|WT],A1,A2).
+
+%    The following is tempting, but doesn't work if A makes assumptions...
+% solve((A -> B ; C),N,(AT -> BT;CT),[wrule(H,LT,_,RB)|WT],A0,A2) :-
+%    solve(A,N,AT,[wrule(H,LT,A,(B&RB))|WT],A0,A1) % why rules is wrong
+%    ->
+%    solve(B,N,BT,[wrule(H,(LT&AT),B,RB)|WT],A1,A2)
+%    ;
+%    solve(C,N,CT,[wrule(H,LT,C,RB)|WT],A0,A2).
+   
+solve(A \= B,_,if(A \= B,builtin),_,A0,A0) :- !,
+   dif(A,B).
+solve(A #= B,_,if(A #= B,builtin),_,A0,A0) :- !,
+   \+(A=B).
+solve(call(G),_,_,WT,A0,A0) :- 
+   var(G),!,
+   debug_error(['   Error: argument to call must be bound when evaluated.'],
+	       WT).
+solve(call(G),N,T,WT,A0,A1) :- !,
+   solve(G,N,T,WT,A0,A1).
+solve((~ G),N,if(~G,T),WT,A0,A1) :- !,
+	(ground(G) ->
+	  failtoprove(G,N,T,WT,A0,A1)
+	;
+	  debug_error(['   Error: ',~G,' needs to be ground when called.'],
+	        WT)).
+
+
+solve(G,_,if(G,assumed),_,ass(A0,PAs,P),ass(A0,PAs,P)) :-
+   assumabl(G),
+%   (ground(G) -> true
+%   ; debug_error(['   Error: assumable ',G,' needs to be ground when called.'],
+%		 WT)),
+   idmember(G,A0),!.
+solve(G,_,if(G,assumed),_,ass(A0,PAs,P),ass(A1,PAs,P)) :-
+   assumabl(G),
+%   (ground(G) -> true
+%   ; debug_error(['   Error: assumable ',G,' needs to be ground when called.'],
+%		 WT)),
+%   \+ idmember(G,A0),
+   good(G,A0),
+   insert_into_sorted_list(G,A0,A1).
+solve(G,_,if(G,assumed),_,ass(A0,PAs0,P0),ass(A0,PAs1,P1)) :-
+   choice(G,P,A),
+%    (ground(G) -> true
+%    ; debug_error(['   Error: assumable ',G,' needs to be ground when called.'],
+% 		 WT)),
+   consistent(PAs0,A),
+   insertUpdateProbs(PAs0,P0,G,P,PAs1,P1),
+   prob_threshold(Bound),
+   ((P1 < Bound)
+   ->
+    retract(pruned_prob(PP)),
+    PP1 is PP+P1,
+    asserta(pruned_prob(PP1)),
+    fail
+   ;
+    true
+    ).
+
+solve(G=V,_,if(G=V,assumed),_,ass(A0,PAs,P),ass(A1,PAs,P)) :-
+   arbit(G,V),
+   (member((G=V1),A0)
+   ->
+    V=V1, A1=A0
+   ;
+    nonvar(V) ->  % this seems to be necessary to get it to work.
+                % The arbitrary choice has not been made, but this call
+                % isn't making the choice.
+    A1=[G=V|A0];
+    A1=[G=V|A0]
+%    fail
+%     gensym(ind,V),
+%     A1=[G=V|A0]
+   ).
+    
+solve(G,_,if(G,asked),WT,A0,A0) :-
+   askabl(G),
+   ask_user(G,WT,Ans),
+   Ans \== unknown,!,      % fail if Ans=unknown, otherwise don't try clauses
+   Ans=yes.
+solve(H,_,if(H,builtin),WT,A0,A0) :-
+   builtin(H,C),!,
+   (C ->  catch(H,_,debugging_builtin_error(H,WT))
+   ; write_all(['Error: "',H,'" can''t be called in this form, as ',C,' isn''t true.']), 
+     debugging_builtin_error(H,WT)
+   ).
+solve(H,N0,if(H,BT),WT,A0,A1) :-
+   N0 > 0,
+   deter(H),
+   N1 is N0-1,
+   (H <- B),
+   solve(B,N1,BT,[wrule(H,true,B,true)|WT],A0,A1), !.
+solve(H,N0,if(H,BT),WT,A0,A1) :-
+   N0 > 0,
+   N1 is N0-1,
+   (H <- B),
+   solve(B,N1,BT,[wrule(H,true,B,true)|WT],A0,A1).
+solve(H,0,if(H,asked),WT,ass(A0,PAs0,P0),ass(A0,PAs0,P0)) :-
+   debugging_failure,!,
+   debugging_failure_goal(H,WT,P0).
+solve(_,0,_,_,ass(_,_,P),_) :-
+   retractall(failed(_)),
+   assert(failed(unnaturally)),
+   P>0,
+   retract(pruned_prob(PP)),
+   PP1 is PP+P,
+   asserta(pruned_prob(PP1)),
+   fail.
+
+% report(Query,Res,Ass) report an answer after an ask
+report(Q,Res,ass([],[],1)) :- !,
+   write_all(['Answer: ',Q,'.']),
+   report_runtime,
+   writel(['  [ok,more,how,help]: ']),
+   flush_and_read(Comm),
+   interpret_report(Comm,Q,Res,ass([],[],1)).
+report(Q,Res,Ass) :-
+   write_all(['Answer: ',Q,'.']),
+   ( Ass=ass(A0,[],1) ->
+       write_all(['Assuming: ',A0,'.'])
+   ;   write_all(['Assuming: ',Ass,'.'])),
+   report_runtime,
+   writel(['  [more,ok,how,help]: ']),
+   flush_and_read(Comm),
+   interpret_report(Comm,Q,Res,Ass).
+
+% interpret_report(Comm,Q,Res,Ass) interprets the answer given by the user
+%   to an answer given after and ask 
+interpret_report(ok,_,_,_) :- !.
+interpret_report(more,_,_,_) :- !,
+   reset_runtime,fail.
+interpret_report(end_of_file,_,_,_) :- !,
+   write_all(['^D']).
+interpret_report(how,Q,Res,Ass) :- !,
+   traverse(Res,Rep),
+   ( (Rep = top; Rep=up)
+   -> report(Q,Res,Ass)
+   ; Rep= retry
+   -> reset_runtime,fail
+   ; Rep=prompt
+   -> true
+   ; write_all(['This shouldn''t occur. Traverse reported ',Rep])
+   ).
+interpret_report(help,Q,Res,Ass) :- !,
+   write_all([
+     '  The system has proven an instance of your query.',nl,
+     '  You can give the following commands:',nl,
+     '    more.    for more answers',nl,
+     '    ok.      for no more answers',nl,
+     '    how.     to enter a dialog to determine how the goal was proved.']),
+   report(Q,Res,Ass).
+interpret_report(Comm,Q,Res,Ass) :-
+   Comm \== more,
+   write_all(['Unknown command; ',Comm,'. Type "help." if you need help.']),
+   report(Q,Res,Ass).
+
+% Depth-bound reached
+% debugging_failure_goal(H,WT,P)
+%   H is the current goal
+%   WT is the why-tree
+%   P is the probability of this proof
+debugging_failure_goal(H,WT,P) :-
+   write_all(['  Depth-bound reached. Current subgoal: ',H,'.']),
+   writel(['     [fail,succeed,proceed,why,ok,help]: ']),
+   flush_and_read(Comm),
+   interpret_debugging_failure_command(Comm,H,WT,P).
+
+
+% interpret_debugging_failure_command(Comm,H,WT,P)
+%   Comm is the command the user gave
+%   H is the current goal
+%   WT is the why-tree
+%   P is the probability of this proof
+
+interpret_debugging_failure_command(help,H,WT,P) :- !,
+   write_all([
+     '  The system has reached the depth bound.',nl,
+     '  You can give the following commands:',nl,
+     '    fail.       fail this subgoal.',nl,
+     '    succeed.    make this subgoal succeed.',nl,
+     '    proceed.    fail and don''t stop any more at failing subgoals.',nl,
+     '    why.        determine why this subgoal was called.',nl,
+     '    ok.         return to ailog prompt.',nl,
+     '    help.       print this message.']),
+   debugging_failure_goal(H,WT,P).
+interpret_debugging_failure_command(fail,_,_,P) :- !,
+   retractall(failed(_)),
+   assert(failed(unnaturally)),
+   P>0,
+   retract(pruned_prob(PP)),
+   PP1 is PP+P,
+   asserta(pruned_prob(PP1)),
+   fail.
+interpret_debugging_failure_command(succeed,_,_,_) :- !.
+interpret_debugging_failure_command(proceed,_,_,P) :- !,
+   retractall(debugging_failure),
+   retractall(failed(_)),
+   assert(failed(unnaturally)),
+   P>0,
+   retract(pruned_prob(PP)),
+   PP1 is PP+P,
+   asserta(pruned_prob(PP1)),
+   fail.
+interpret_debugging_failure_command(ok,_,_,_) :- !,
+   throw(prompt).
+interpret_debugging_failure_command(end_of_file,_,_,_) :- !,
+   throw(prompt).
+interpret_debugging_failure_command(why,H,WT,P) :- !,
+   \+ \+ (mynumbervars(WT,0,_),why_question(WT,_)),
+   debugging_failure_goal(H,WT,P).
+interpret_debugging_failure_command(Comm,H,WT,P) :- !,
+   write_all(['  Unknown command: ',Comm,'. Type "help." for help.']),
+   debugging_failure_goal(H,WT,P).
+
+
+% builtin(G,C) is true if goal G is defined in the system (as opposed to 
+% being defined in clauses). C is the condition that must hold to make sure
+% there are no errors.
+builtin((A =< B), ground((A =< B))).
+builtin((A >= B), ground((A >= B))).
+builtin((A =\= B), ground((A =\= B))).
+builtin((A < B), ground((A<B))).
+builtin((A > B), ground((A>B))).
+builtin((_ is E),ground(E)).
+builtin(number(E),ground(E)).
+builtin(atomic(E),ground(E)).
+
+% Error in a built-in
+debugging_builtin_error(H,WT) :-
+   debug_error(['  Error in built-in predicate: ',H,'.'],WT).
+
+% RUNTIME ERROR HANDLING
+debug_error(Message,WT) :-
+   write_all(Message),
+   writel(['     [fail,succeed,why,ok,help]: ']),
+   flush_and_read(Comm),
+   interpret_error_command(Comm,Message,WT).
+
+interpret_error_command(help,Message,WT) :- !,
+%   write_all(Message),
+   write_all([
+      '  You can give the following commands:',nl,
+     '    fail.       fail this subgoal.',nl,
+     '    succeed.    make this subgoal succeed.',nl,
+     '    why.        determine why this subgoal was called.',nl,
+     '    ok.         return to ailog prompt.',nl,
+     '    help.       print this message.']),
+   debug_error(Message,WT).
+interpret_error_command(fail,_,_) :- !,
+   fail.
+interpret_error_command(succeed,_,_) :- !.
+interpret_error_command(ok,_,_) :- !,
+   throw(prompt).
+interpret_error_command(end_of_file,_,_) :- !,
+   throw(prompt).
+interpret_error_command(why,H,WT) :- !,
+   \+ \+ (mynumbervars(WT,0,_),why_question(WT,_)),
+   debug_error(H,WT).
+interpret_error_command(Comm,H,WT) :- !,
+   write_all(['  Unknown command: ',Comm,'. Type "help." for help.']),
+   debug_error(H,WT).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            ASK THE USER
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%  ask_user(G,WT,Ans)
+%     G is the goal to ask
+%     WT is the why-tree
+%     Ans is the reply
+ask_user(G,_,Ans) :-
+   ground(G),
+   asked(G,Ans1),!,Ans=Ans1.
+ask_user(G=V,_,yes) :-
+   ground(G),
+   asked(G=V1,yes),!,V=V1.
+
+ask_user(T=V,WT,Ans) :-
+   ground(T),var(V),!,
+   writel(['What is the value of ',T,'? [value,unknown,why,help]: ']),
+   flush_and_read(Reply),
+   (member(Reply,[unknown,why,help])
+     -> interpret_ask_answer(Reply,T=V,WT,Ans)
+    ;  V=Reply,
+       interpret_ask_answer(yes,T=V,WT,Ans)
+   ).
+ask_user(G,WT,Ans) :-
+   ground(G),!,
+   writel(['Is ',G,' true? [yes,no,unknown,why,help]: ']),
+   flush_and_read(Rep),
+   interpret_ask_answer(Rep,G,WT,Ans).
+  
+ask_user(G,WT,fail) :-
+   write_all(['   Error: Askables with free variables not implemented.',nl,
+            '   The system wanted to ask ',G,'.',nl,
+            '   Entering why interation.']),
+   mynumbervars(WT,0,_),
+   why_question(WT,_),
+   write_all(['   Askable subgoal ',G,' failing due to free variables.']).
+
+
+% interpret_ask_answer(Rep,G,WT,Ans).
+interpret_ask_answer(help,G,WT,Rep) :- !,
+   write_all(['   The system is asking whether ',G,' is true or not. Give one of:',nl,
+     '      "yes." if ',G,' is known to be true.',nl,
+     '      "no." if ',G,' is known to be false.',nl,
+     '      "unknown." if ',G,' is unknown (so applicable clauses can be used).',nl,
+     '      "fail." to fail the subgoal (but not record an answer).',nl,
+     '      "why." to see why the system was asking this question.',nl,
+     '      "prompt." to return to the ailog prompt.',nl,
+     '      "help." to print this message.']),
+   ask_user(G,WT,Rep).
+interpret_ask_answer(yes,G,_,yes) :- !,
+   assertz(asked(G,yes)).
+interpret_ask_answer(no,G,_,no) :- !,
+   assertz(asked(G,no)).
+interpret_ask_answer(unknown,G,_,unknown) :- !,
+   assertz(asked(G,unknown)).
+interpret_ask_answer(fail,_,_,fail) :- !.
+interpret_ask_answer(prompt,_,_,_) :- !,
+   throw(prompt).
+interpret_ask_answer(end_of_file,_,_,_) :- !,
+   write_all(['^D']),
+   throw(prompt).
+
+interpret_ask_answer(why,G,WT,Rep) :- !,
+   \+ \+ ( mynumbervars(WT,0,_),why_question(WT,Rep),Rep \== prompt),
+   ask_user(G,WT,Rep).
+interpret_ask_answer(Ans,G,WT,Rep) :-
+   Ans \== fail,
+   write_all(['   Unknown response "',Ans,'". For help type "help.".']),
+   ask_user(G,WT,Rep).
+
+
+% why_question(WT,Rep)
+%  WT is a list of wrule(Head,LeftTree,Current,RightBody)
+%     Rep is the reply. It is one of:
+%        down       go back one step
+%        bottom     return to the ask-the-user query
+%        prompt     return to prompt
+why_question([wrule(H,LT,C,RB)|WT],Rep) :-
+   write_all(['   ',C,' is used in the rule ']),
+   write_all(['   ',H,' <-']),
+   print_tree_body(LT,1,Max),
+   write_all(['   ** ',Max,': ',C]),
+   M1 is Max+1,
+   print_body(RB,M1,_),
+   writel(['   [Number,why,help,ok]: ']),
+   flush_and_read(Comm),
+   interpret_why_ans(Comm,Max,[wrule(H,LT,C,RB)|WT],Rep).
+why_question([],down) :-
+   write_all(['   This was the original query.']).
+
+% interpret_why_ans(Comm,[wrule(H,LT,C,RB)|WT],Rep).
+interpret_why_ans(help,Max,[wrule(H,LT,C,RB)|WT],Rep) :- !,
+   write_all([
+'   You can taverse the proof for a subgoal using following commands:',nl,
+'      how i.     show how element i (i<',Max,') of the body was proved.',nl,
+'      how ',Max,'.     show the rule being considered for ',C,'.',nl,
+'      why.       show why ',H,' is being proved.',nl,
+'      prompt.    return to the ailog prompt.',nl,
+'      help.      print this message.']),
+   why_question([wrule(H,LT,C,RB)|WT],Rep).
+interpret_why_ans(up,_,WT,Rep) :- !,
+   interpret_why_ans(why,_,WT,Rep).
+interpret_why_ans(why,_,[WR|WT],Rep) :- !,
+   why_question(WT,Rep1),
+   (Rep1 = down
+   -> why_question([WR|WT],Rep)
+   ; Rep=Rep1).
+interpret_why_ans((how N),Max,[wrule(H,LT,C,RB)|WT],Rep) :-
+   integer(N),!,
+   interpret_why_ans(N,Max,[wrule(H,LT,C,RB)|WT],Rep).
+interpret_why_ans(N,Max,[wrule(H,LT,C,RB)|WT],Rep) :-
+   integer(N),
+   N > 0,
+   N < Max, !,
+   nth(LT,1,_,N,E),
+   traverse(E,Rep1),
+   (Rep1=up -> why_question([wrule(H,LT,C,RB)|WT],Rep) ;
+    Rep1=top -> Rep=bottom ;
+    Rep1=retry
+     -> write_all(['   retry doesn''t make sense here.']),
+        why_question([wrule(H,LT,C,RB)|WT],Rep) ;
+    Rep=Rep1).
+interpret_why_ans(Max,Max,_,down) :- !.
+interpret_why_ans(N,Max,WT,Rep) :-
+   integer(N),
+   N > Max, !,
+   write_all(['You can''t trace this, as it hasn''t been proved.']),
+   why_question(WT,Rep).
+interpret_why_ans(end_of_file,_,_,_) :- !,
+   write_all(['^D']),
+   throw(prompt).
+interpret_why_ans(prompt,_,_,_) :- !,
+   throw(prompt).
+interpret_why_ans(ok,_,_,bottom) :- !.
+
+interpret_why_ans(Comm,_,WT,Rep) :- !,
+   write_all(['Unknown command: ',Comm,'. Type "help." for help.']),
+   why_question(WT,Rep).
+
+
+% print_body(B,N) is true if B is a body to be printed and N is the 
+% count of atoms before B was called.
+print_body(true,N,N) :- !.
+print_body((A&B),N0,N2) :- !,
+   print_body(A,N0,N1),
+   print_body(B,N1,N2).
+print_body(H,N,N1) :-
+   write_all(['      ',N,': ',H]),
+   N1 is N+1.
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            NEGATION AS FAILURE
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% failtoprove(G,N,T,WT,A0,A1)  
+% G is a ground goal, 
+% N is a depth-bound
+% T is the tree returned
+% WT is the why tree
+% A0 is the assumables before and A1 is the set after
+% The complication here is due to the interaction with the depth-bound
+% and assumables
+
+failtoprove(G,N,nafproof(PA1,ETs),WT,ass(A,PAs,Pr),ass(A,PA1,Pr1)) :-
+    failed(HowFailedInit),
+    retractall(failed(_)),
+    assert(failed(naturally)),
+    findall(et(Ass,T),solve(G,N,T,~WT,ass(A,PAs,Pr),Ass),ETs),
+    (failed(naturally) ->
+	extract_expls(ETs,EGs),
+	duals(EGs,PAs,[PAs],Ds),
+	member(PA1,Ds),
+	prob(PA1,1,Pr1)
+    ;
+    member(et(ass(A,PAs,Pr),_),ETs) ->  % found a proof with no assumptions 
+	retractall(failed(_)),
+	assert(failed(HowFailedInit)),
+	fail			% fail naturally
+    ;
+	fail  % fail unnaturally as depth-bound was hit
+    ).
+
+/* interaction with depth-bound
+    (failed(naturally) ->
+       (solve(G,N,_,WT,[],_) ->
+         retract(failed(unnaturally)), asserta(failed(naturally)),fail
+              % note this just fails if failed(naturally) still true
+       ; failed(naturally)
+       )
+    ;  retract(failed(_)),
+       assert(failed(naturally)),
+       (solve(G,N,_,WT,[],_) ->
+         retract(failed(naturally)), asserta(failed(unnaturally)),fail
+       ; retract(failed(naturally)), asserta(failed(unnaturally))
+              % note this just fails if failed(unnaturally) still true
+       )).
+*/
+
+
+% prob(AL,P0,P1) 
+%  AL is a list of probabilistic assumables
+%  P1 = P0*P(AL)
+prob([],P,P).
+prob([H|T],P0,P2) :-
+   choice(H,P,_),
+   P1 is P0*P,
+   prob(T,P1,P2).
+
+
+% The following code gives the interaction between negation and probabilities
+
+% A composite choice is a consistent set of probabilistic assumables.
+
+% duals(Es,R0,D0,D1) is true if Es is a list of terms of the form
+% ass(A,PAs,Pr) where R0 is a subset of PAs, and 
+% D1-D0 is a list of ass(A1,R1,P1) such that
+% R1-R0 is a hitting set of negations of Es.
+
+duals([],_,D,D).
+duals([S|L],R0,D0,D2) :- !,
+   setDiff(S,R0,NA),
+   hit_every_complement(NA,D0,[],D1),
+   duals(L,R0,D1,D2).
+
+% hit_every_complement(S,R0,D0,D,D1) is true if S is a composite choice (with
+% tail R0), and D2 is D together with the hitting set of negations of
+% D0.
+
+hit_every_complement([],_,D0,D0) :- !.
+hit_every_complement([A|R],Ds,D0,D2) :-
+   choice(A,_,NAs),
+   hit_every_element(NAs,Ds,D0,D1),
+   hit_every_complement(R,Ds,D1,D2).
+
+% hit_every_element(As,A,D0,D1) is true if S is a composite choice (with
+% tail R0), and D2 is D together with the hitting set of negations of
+% D0.
+
+hit_every_element([],_,D,D).
+hit_every_element([E|T],Es,D0,D2) :-
+   insert_into_each_exp(Es,E,D0,D1),
+   hit_every_element(T,Es,D1,D2).
+
+% insert_into_each_exp(L,A,L0,L1) is true if inserting atomic choice A
+% into each explanation in L, and adding these to L0 produces L1. L,
+% L0 and L1 are all lists of explanations. Subsumed and inconsistent
+% explanations are removed. 
+
+insert_into_each_exp([],_,L,L) :-!.
+insert_into_each_exp([E1|R],A,L0,L1) :-
+   incompatible(A,E1),!,
+   insert_into_each_exp(R,A,L0,L1).
+insert_into_each_exp([E1|R],A,L0,L2) :-
+   insert_into_sorted_list(A,E1,E2),
+   insert_exp(E2,L0,L1),
+   insert_into_each_exp(R,A,L1,L2).
+
+% insert_exp(E,Es1,Es2) is true if inserting explanation E into list
+% Es1 of explanations produces list of explanations Es2.
+insert_exp(E,[],[E]) :- !.
+insert_exp(E0,[E|T],[E|T]) :- 
+    subset_sorted(E,E0),!.  % includes the case where E0==E.
+insert_exp(E0,[E|T],R) :-
+    subset_sorted(E0,E),!,
+    insert_exp(E0,T,R).
+insert_exp(E,[H|T],[H|R]) :-
+    insert_exp(E,T,R).
+
+% mutually_incompatible(As1,As2) is true if A is inconsistent with all of As.
+mutually_incompatible(E1,E2) :-
+   member(A,E1),
+   incompatible(A,E2).
+
+% incompatible(A,As) is true if A is inconsistent with all of As.
+incompatible(A,E) :-
+   choice(A,_,NAs),
+   \+ consistent(E,NAs).
+ 
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            Probabilities
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% normalize(L,Sum,LS)  Sum is assumed to be a float.
+normalise([],_,[]).
+normalise([(A:P)|R],S,[(A:PN)|RN]) :-
+	PN is P/S,
+	normalise(R,S,RN).
+	  
+% make_choices(L)
+make_choices(L) :-
+    remove(A:P,L,L0),
+    setof(AA,P1^member(AA:P1,L0),Alts),
+    assertz(choice(A,P,Alts)),
+    fail.
+make_choices(_).
+
+% insertUpdateProbs(PAs0,P0,G,P,PAs1,P1)
+%   PAs0 is the initial probabilistic assumptions
+%   P0 is the probability of the probablistic assumptions
+%   G is the choice
+%   P is the probability of G
+%   PAs1 is the resulting probabilistic assumptions
+%   P1 is the resulting probability
+insertUpdateProbs([],P0,G,P,[G],P1) :-
+   P1 is P0*P.
+insertUpdateProbs([G|R],P0,G,_,[G|R],P0) :- !.
+insertUpdateProbs([G0|R0],P0,G,P,[G,G0|R0],P1) :-
+   G @< G0, !,
+   P1 is P0*P.
+insertUpdateProbs([G0|R0],P0,G,P,[G0|PAs1],P1) :-
+   insertUpdateProbs(R0,P0,G,P,PAs1,P1).
+
+% latest_explanations(Obervations,ETs,Prob,Err)
+%    ETs is a list of et(Explanation,ProofTree)
+latest_explanations(O,E,P,Err) :-
+   explanations(O,E,P,Err),!.
+latest_explanations([],[et(ass([],[],1),null)],1,0.0).
+
+% predict(G)
+%    Warning: this may not work properly with multiple answers + errors
+%    We should really reset the pruned_prob for each proof...
+predict(G) :-
+   latest_explanations(_,ETs,Pr0,Err0),
+   retractall(pruned_prob(_)),
+   assert(pruned_prob(Err0)),
+   depth_bound(DB),
+   retractall(failed(_)),
+   assert(failed(naturally)),
+   reset_runtime,
+   find_expls(G,ETs,DB,Expls),
+   extract_expls(Expls,Sexpls),
+   make_disjoint(Sexpls,DExpls),
+   acc_probs(DExpls,0,Pr),
+   pruned_prob(Err1),
+   report_expls(Expls,DExpls,G,Pr0,Pr,Err0,Err1).
+predict(_) :-
+    write_all(['No (more) answers.']).
+
+% observe(G)
+observe(G) :-
+   retractall(debugging_failure),
+   retractall(failed(_)),
+   assert(failed(naturally)),
+   latest_explanations(Obs,ETs,PrObs,Err0),
+   retractall(pruned_prob(_)),
+   assert(pruned_prob(Err0)),
+   depth_bound(DB),
+   reset_runtime,
+   find_expls(G,ETs,DB,Expls),
+   extract_expls(Expls,Sexpls),
+   make_disjoint(Sexpls,DExpls),
+   acc_probs(DExpls,0,Pnew),
+   pruned_prob(Err1),
+   asserta(explanations([G|Obs],Expls,Pnew,Err1)),
+   report_expls(Expls,DExpls,G,PrObs,Pnew,Err0,Err1).
+observe(_) :-
+    write_all(['No (more) answers.']).
+
+% find_expls(G,ETs,DB,Expls)
+%   +G is the goal to be solved
+%   +ETs is the list of explanations of previous observations
+%   +DB is the depth-bound
+%   -Expls is the list of explanations of G and the previous observations
+find_expls(G,ETs,DB,Expls) :-
+   bagof(et(Expl,Res),
+         E0^Tr^( member(et(E0,Tr),ETs),
+                 solve(G,DB,Res,[wrule(yes,true,G,true)],E0,Expl)), 
+         Expls),
+   (ground(Expls) ->
+    true
+   ; write_all(['Warning Explanations not ground: ',Expls])).
+
+% report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1)
+%    +Ets is a list of et(Explanation,ProofTree)
+%    +DExpls is a set of possible worlds (disjoint explanations)
+%    +G is the goal
+%    +Pr0 is the probability of the previous observations
+%    +Pr1 is the probability of the current observations
+%    +Err0 is the error (pruned probability mass) before the query
+%    +Err1 is the error (pruned probability mass) after the query  Err1>Err0
+report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :-
+   (Err1=:=0.0
+   ->
+    Post is Pr1/Pr0
+   ;
+    Min is Pr1/(Pr0+Err0),
+    Max is (Pr1+Err1)/(Pr0+Err0),
+    Post=[Min,Max]
+   ),
+   write_all(['Answer: P(',G,'|Obs)=',Post,'.']),
+   report_runtime,
+   writel(['  [ok,more,explanations,worlds,help]: ']),
+   flush_and_read(Comm),
+   interpret_prob_report(Comm,Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+
+% acc_probs(Expls,P0,P1) determines the probabilities of the assumables in Expls
+%    +Expls is a list of explanations
+%    +P0 is the previous probability
+%    -P1 is the new probability
+acc_probs([],P,P).
+acc_probs([A|R],P0,P2) :-
+    prob_expl(A,1,P),
+    P1 is P+P0,
+    acc_probs(R,P1,P2).
+
+% probs_expl(Expl,P0,P1) determines the probability of an expanation
+%   +Expl is an explanation
+%   +P0 is the previous probability
+%   -P1 is the resulting probability  (P1 = P0*prob(Expl))
+prob_expl([],P,P).
+prob_expl([A|R],P0,P2) :-
+    choice(A,P,_),
+    P1 is P*P0,
+    prob_expl(R,P1,P2).
+
+% interpret_prob_report(Comm,Expls,DExpls,G,Pr0,Pr1,Err0,Err1)
+%   +Comm is the command given by the user
+%   +Expls is the set of explanations
+%   +DExpls is the set of worlds (disjoint explanations)
+%   +G is the goal to be proved
+%   +Pr0 is the  probability of the previous observations
+%   +Pr1 is the probability of the current observations
+interpret_prob_report(ok,_,_,_,_,_,_,_) :- !.
+interpret_prob_report(more,_,_,_,_,_,_,_) :- !,
+   reset_runtime,fail.
+interpret_prob_report(end_of_file,_,_,_,_,_,_,_) :- !,
+   write_all(['^D']).
+interpret_prob_report(explanations,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :- !,
+   show_explanations(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+interpret_prob_report(worlds,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :- !,
+   print_worlds(DExpls,0),
+   report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+interpret_prob_report(help,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :- !,
+   write_all([
+     '  The system has proven an instance of your query.',nl,
+     '  You can give the following commands:',nl,
+     '    more.    for more answers',nl,
+     '    ok.      for no more answers',nl,
+     '    explanations.     to explore how the goal is proved based ',
+     ' sets of assumptions.',nl,
+     '    worlds.  to see the worlds where ',G,' is true.']),
+   report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+interpret_prob_report(Comm,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :-
+   Comm \== more,
+   write_all(['Unknown command; ',Comm,'. Type "help." if you need help.']),
+   report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+
+% show_explanations(Expls,DExpls,G,Pr0,Pr1,Err0,Err1)
+show_explanations(Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :-
+   print_explanations(Expls,0),
+   writel(['  [ok,more,how i,help]: ']),
+   flush_and_read(Comm),
+   interpret_show_explanations_report(Comm,Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+
+% interpret_show_explanations_report(Comm,Expls,DExpls,G,Pr0,Pr1,Err0,Err1)
+interpret_show_explanations_report(ok,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :- !,
+    report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+interpret_show_explanations_report(more,_,_,_,_,_,_,_) :- !,
+   reset_runtime,fail.
+interpret_show_explanations_report(how I,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :-
+   catch(
+     (
+        ith(Expls,et(_,Tree),I,0),
+	traverse(Tree,_)  % Report is ignored
+     ),
+     Ex,
+     (Ex= outofrange ->
+         write_all(['Number out of range: how ',I,'.'])
+     ;   write_all(['Argument to how must be an integer: how ',I,'.']) 
+     )
+    ),
+    report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+interpret_show_explanations_report(help,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :- !,
+    write_all([
+          'ok.      go back to answer dialogue',nl,
+          'more.    get another answer.',nl,
+          'how i.   ask how the ith explanation was proved',nl,
+          'help.    print this message']),
+    report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+interpret_show_explanations_report(Comm,Expls,DExpls,G,Pr0,Pr1,Err0,Err1) :- !,
+    write_all([
+          'Unknown command: ',Comm,'. Type "help." for help']),
+    report_expls(Expls,DExpls,G,Pr0,Pr1,Err0,Err1).
+
+% print_explanations(DExpls,Count).
+print_explanations([],_).
+print_explanations([et(W,_)|R],C) :-
+   write_all(['  ',C,': ', W]),
+   C1 is C+1,
+   print_explanations(R,C1).
+
+% print_worlds(DExpls,Count).
+print_worlds([],_).
+print_worlds([W|R],C) :-
+   prob_expl(W,1,Pr),
+   write_all(['  ',C,': ', W,'  Prob=',Pr]),
+   C1 is C+1,
+   print_worlds(R,C1).
+
+% print_observations(Obs,N)
+print_observations([],0).
+print_observations([O|Os],N1) :-
+    print_observations(Os,N),
+    N1 is N+1,
+    write_all([N1,': ',O]).
+
+
+% extract_expls(L1,L2) L1 is a list of et(ass(_,E,_),_) and L2 is the
+% corresponding list of explanations E. 
+extract_expls([],[]).
+extract_expls([et(ass(_,E,_),_)|L],R1) :-
+    extract_expls(L,R),
+    insert_exp(E,R,R1).
+
+% make_disjoint(L,SL) is true if L is a list of explanations and SL
+% is a lists of Expl such that SL are mutually exclusive and cover
+% the same worlds as the Expls in L.
+% This assumes that L is a minimal set: no member of L is a subset of another.
+
+make_disjoint([],[]).
+make_disjoint([R|L],L2) :-
+        % check_sorted(R),
+   member(R1,L),
+        % check_sorted(R1),
+   \+ mutually_incompatible(R,R1),!,
+    (member(E,R1), \+ idmember(E,R)   %%% was \+ member(E,R)
+      -> true; write_all(['Error in make_disjoint: ',compatible(R,R1)]),fail),
+   choice(E,_,NE),
+   split([E|NE],R,L,L1),
+   make_disjoint(L1,L2).
+make_disjoint([E|L1],[E|L2]) :-
+   make_disjoint(L1,L2).
+
+% split(As,R,L0,L1) splits R on As, added to L0 produces L1
+split([],_,L,L).
+split([A|As],E,L0,L2) :-
+   insert_into_sorted_list(A,E,E1),
+   insert_exp(E1,L0,L1),
+   split(As,E,L1,L2).
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            HOW QUESTIONS
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% traverse(T,Rep) true if 
+%   T is a tree being traversed
+%   Rep is the reply it is one of {up,top,retry,prompt}
+%     up means go up in the tree 
+%     top means go to the top of the tree (where traverse was called).
+%     retry means find another proof tree
+%     prompt means go to the top level prompt
+traverse((A&B),Rep) :-
+   traverse(if(yes,(A&B)),Rep).
+traverse(if(H,true),up) :- !,
+    write_all(['   ',H,' is a fact']).
+traverse(if(H,builtin),up) :- !,
+    write_all(['   ',H,' is built-in.']).
+traverse(if(H,asked),up) :- !,
+    write_all(['   You told me ',H,' is true.']).
+traverse(if(H,assumed),up) :- !,
+    write_all(['   ',H,' is assumed.']).
+traverse(if(~G,nafproof(_,[])),Rep) :- !,
+   write_all(['   ',G,' finitely failed. You can examine the search space.']),
+   depth_bound(DB),
+   whynotb(G,DB,Rep,ass([],[],1),_).
+traverse(if(~G,nafproof(Expl,ETs)),Rep) :- !,
+   write_all(['   ',~G,' succeeded assuming ',Expl]),
+   write_all(['   ',G,' succeeded with the following explanations:']),
+   print_explanations(ETs,0),
+   writel(['  [up,top,retry,prompt,how i,help,whynot]: ']),
+   flush_and_read(Comm),
+   interpret_naf_how(Comm,ETs,Rep0),
+   (Rep0=repeat ->
+       traverse(if(~G,nafproof(Expl,ETs)),Rep)
+   ; Rep=Rep0
+   ).
+traverse(null,top) :- !,
+   write_all(['   There was nothing to be proved.']).
+traverse(if(H,B),Rep) :-
+    write_all(['   ',H,' <-']),
+    print_tree_body(B,1,Max),
+    writel(['   How? [Number,up,retry,ok,prompt,help]: ']),
+    flush_and_read(Comm),
+    interpretcommand(Comm,B,Max,if(H,B),Rep).
+
+% print_tree_body(B,N) is true if B is a body to be printed and N is the 
+% count of atoms before B was called.
+print_tree_body(true,N,N).
+print_tree_body((A&B),N0,N2) :-
+   print_tree_body(A,N0,N1),
+   print_tree_body(B,N1,N2).
+print_tree_body(if(H,_),N,N1) :-
+   write_all(['      ',N,': ',H]),
+   N1 is N+1.
+
+% interpretcommand(Comm,B,Max,Goal,Reply) interprets the command Comm on body B
+interpretcommand(help,_,Max,G,Rep) :- !,
+   write_all([
+     '     Give either (end each command with a period):',nl,
+     '       how i.       explain how subgoal i (i<',Max,') was proved.',nl,
+     '       up.          go up the proof tree one level.',nl,
+     '       retry.       find another proof.',nl,
+     '       ok.          stop traversing the proof tree.',nl,
+     '       prompt.      return to the ailog prompt.',nl,
+     '       help.        to print this message.']),
+   traverse(G,Rep).
+interpretcommand((how N),B,Max,G,Rep) :-
+   integer(N),
+   interpretcommand(N,B,Max,G,Rep).
+interpretcommand(N,B,Max,G,Rep) :-
+   integer(N),
+   N > 0,
+   N < Max,!,
+   nth(B,1,_,N,E),
+   traverse(E,Rep1),
+   ( Rep1= up
+   -> traverse(G,Rep)
+   ; Rep=Rep1
+   ).
+interpretcommand(N,_,Max,G,Rep) :-
+   integer(N),!,
+   % (N < 1 ; N >= Max,Rep),
+   M1 is Max-1,
+   write_all(['Number out of range: ',N,'. Use number in range: [1,',M1,'].']),
+   traverse(G,Rep).
+interpretcommand(up,_,_,_,up) :-!.
+interpretcommand(why,_,_,_,up) :-!.
+interpretcommand(ok,_,_,_,top) :-!.
+interpretcommand(prompt,_,_,_,_) :-!,
+   throw(prompt).
+interpretcommand(retry,_,_,_,retry) :-!.
+interpretcommand(end_of_file,_,_,_,prompt) :-!,
+   write_all(['^D']).
+interpretcommand(C,_,_,G,Rep) :-
+   write_all(['Illegal Command: ',C,'   Type "help." for help.']),
+   traverse(G,Rep).
+
+% nth(S,N0,N1,N,E) is true if E is the N-th element of structure S
+nth((A&B),N0,N2,N,E) :- !,
+   nth(A,N0,N1,N,E),
+   nth(B,N1,N2,N,E).
+nth(true,N0,N0,_,_) :- !.
+nth(A,N,N1,N,A) :- !,
+   N1 is N+1.
+nth(_,N0,N1,_,_) :-
+   N1 is N0+1.
+
+% interpret_naf_how(Comm,ETs,Report)
+%  Report is either up, or repeat or whatever travese can report
+interpret_naf_how(ok,_,up).
+interpret_naf_how(more,_,_) :- !,
+   reset_runtime,fail.
+interpret_naf_how(how I,Expls,Report) :-
+   catch(
+     (
+        ith(Expls,et(_,Tree),I,0),
+	traverse(Tree,Report)
+     ),
+     Ex,
+     ((Ex= outofrange ->
+         write_all(['Number out of range: how ',I,'.'])
+     ;   write_all(['Argument to how must be an integer: how ',I,'.']) 
+     ),
+	 Report=repeat)
+    ).
+interpret_naf_how(help,_,repeat) :- !,
+    write_all([
+          'ok.      go back to answer dialogue',nl,
+          'more.    get another answer.',nl,
+          'how i.   ask how the ith explanation was proved',nl,
+          'help.    print this message']).
+interpret_naf_how(Comm,_,repeat) :- !,
+    write_all([
+          'Unknown command: ',Comm,'. Type "help." for help']).
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            WHY NOT QUESTIONS for FAILING QUERIES
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% determine why an answer to body Q was not found.
+% whynotb(+Q,+DB,-Rep,+Ass0,-Ass1) determine why body Q, with depth-bound DB
+% and Ass0 did not find an expected answer
+%   Rep is the reply it is one of {up,top,retry,prompt}
+%     up means go up in the tree 
+%     top means go to the top of the tree (where traverse was called).
+%     retry means find another proof tree
+%     prompt means go to the top level prompt
+
+whynotb((A & B),DB,Rep,Ass0,Ass2) :- 
+   retractall(failed(_)),
+   assert(failed(naturally)),
+   solve(A,DB,Res,[whynot],Ass0,Ass1),
+   report_whynot_conj(A,Res,B,DB,Rep,Ass0,Ass1,Ass2).
+whynotb((A & _),DB,Rep,Ass0,Ass1) :- !,
+   whynotb(A,DB,Rep,Ass0,Ass1).
+
+whynotb(call(A),DB,Rep,Ass0,Ass1) :- !,
+   whynotb(A,DB,Rep,Ass0,Ass1).
+
+whynotb((~ A),DB,Rep,Ass0,Ass1) :-
+   ground(A), !,
+   retractall(failed(_)),
+   assert(failed(naturally)),
+   findall(et(Ass,T),solve(A,DB,T,[whynot],Ass0,Ass),ETs),
+   (
+     member(et(Ass0,T),ETs)
+   ->    % found a proof with no assumables
+     write_all(['    ',~A,' failed as ',A,' suceeded. Here is how:']),
+     traverse(T,Rep)
+   ; (ETs=[], failed(naturally)) ->
+     write_all(['    ',~A,' succeeds, as ',A,' finitely fails.']),
+     whynotb(A,DB,Rep,Ass0,_),
+     Ass1=Ass0
+   ; failed(unnaturally) ->
+     write_all(['    ',~A,' failed because of the depth-bound.']),
+     whynotb(A,DB,Rep,Ass0,_)
+   ;
+     whynotb_expls(A,ETs,Rep)
+   ).
+
+
+whynotb((~ A),_,up,Ass0,Ass0) :- !,
+   write_all(['   Error: ',~A,' needs to be ground when called.']).
+
+whynotb(A,_,up,Ass0,Ass0) :-
+   builtin(A,C),!,
+   (call(C)
+    -> (call(A)
+        -> write_all(['   ',A,' is built-in and succeeds.'])
+         ; write_all(['   ',A,' is built-in and fails.']))
+    ; write_all(['   ',A,' is built-in and is insufficiently instanciated.'])).
+
+whynotb((A \= B),_,up,Ass0,Ass0) :-
+   ?=(A,B),!,
+   (A \== B
+   -> write_all(['   ',(A \= B),' succeeds as they can never unify.'])
+   ; write_all(['   ',(A \= B),' fails as they are identical.'])).
+whynotb((A \= B),_,up,Ass0,Ass0) :-
+   write_all(['   ',(A \= B),' cannot be resolved. It is delayed.']),
+   when(?=(A,B),
+     (A \== B
+      -> write_all(['   Resolving delayed ',(A \= B),'. It succeeded.'])
+      ; write_all(['   Failure due to delayed constraint, ',(A \= B),'.']),
+        fail)).
+whynotb((A #= B),_,up,Ass0,Ass0) :-
+   (\+(A = B)
+   -> write_all(['   ',(A #= B),' succeeds as they can never unify.'])
+   ; write_all(['   ',(A #= B),' fails as they can unify.'])).
+
+
+whynotb(Q,_,up,ass(A0,PAs,P),ass(A1,PAs,P)) :-
+    assumabl(Q),!,
+    (idmember(Q,A0)
+     ->
+     write_all(['   ',Q,' has already been assumed. It succeeds.']),
+     A1=A0
+     ;
+     good(Q,A0)
+    ->
+     write_all(['   ',Q,' is consistently assumed.']),
+    A1=[Q|A0]
+    ;
+      write_all(['   ',Q,' is inconsistent with other assumables.']),
+     A1=A0
+    ).
+
+whynotb(Q,_,up,ass(A0,PAs0,P0),ass(A0,PAs1,P1)) :-
+   choice(Q,P,A),!,
+%    (ground(Q) -> true
+%    ; write_all(['   Error: assumable ',Q,' needs to be ground when called.'])),
+   (consistent(PAs0,A)
+   ->
+    insertUpdateProbs(PAs0,P0,Q,P,PAs1,P1),
+    prob_threshold(Bound),
+    ((P1 < Bound)
+    ->
+     retract(pruned_prob(PP)),
+     PP1 is PP+P1,
+     asserta(pruned_prob(PP1)),
+     write_all(['   ',Q,' fails as the probability (',P1,') is too small'])
+    ;
+     write_all(['   ',Q,' suceeds as it can be assumed'])
+    )
+   ;
+    write_all(['   ',Q,' fails as it is inconsistent with other assumpions'])
+   
+   ).
+
+whynotb(G=V,_,up,ass(A0,PAs,P),ass(A1,PAs,P)) :-
+    arbit(G,V),!,
+   (member((G=V1),A0)
+   ->
+    (V=V1 ->
+      write_all(['   ',G=V,' is has already been assumed.'])
+    ; write_all(['   arbitrary ',G,' has value ',V1,', so ',G=V,' fails.'])
+     ),
+    A1=A0
+   ;
+    write_all(['   ',G=V,' is consistently assumed.']),
+    A1=[G=V|A0]
+   ).
+
+
+whynotb(Q,0,up,Ass0,Ass0) :- !,
+   write_all(['   ',Q,' fails because of the depth-bound.']).
+
+% whynotb(Q,DB,up,Ass0,Ass0) :-
+%    DB > 0,
+%    (Q <- true),!,
+%    write_all(['   ',Q,' is a fact. It doesn''t fail.']).
+
+whynotb(Q,DB,Rep,Ass0,Ass1) :-
+   DB > 0,
+   (Q <- B),
+   whynotrule(Q,B,DB,Rep,Ass0,Ass1).
+whynotb(Q,_,up,Ass0,Ass0) :-
+   write_all(['  There is no applicable rule for ',Q,'.']).
+
+whynotrule(Q,B,DB,Rep,Ass0,Ass1) :-
+   (B=true
+     ->
+    write_all(['  ',Q,'.']);
+    write_all(['  ',Q,' <- ',B,'.'])
+   ),
+   writel(['    Trace this rule? [yes,no,up,help]: ']),
+   flush_and_read(Comm),
+   whynotruleinterpret(Comm,Q,B,DB,Rep,Ass0,Ass1).
+
+whynotruleinterpret(yes,Q,B,DB,Rep,Ass0,Ass1) :- !,
+   DB1 is DB-1,
+   whynotb(B,DB1,Rep1,Ass0,Ass1),
+   (Rep1 = up
+   -> whynotrule(Q,B,DB,Rep,Ass0,Ass1)
+   ;  Rep=Rep1).
+whynotruleinterpret(no,_,_,_,_,_,_) :- !,
+   fail.
+whynotruleinterpret(up,_,_,_,up,Ass0,Ass0) :- !.
+whynotruleinterpret(end_of_file,_,_,_,prompt,_,_) :- !,
+   write_all(['^D']).
+whynotruleinterpret(ok,_,_,_,prompt,_,_) :- !.
+whynotruleinterpret(help,Q,B,DB,Rep,Ass0,Ass1) :- !,
+   write_all([
+     '     Do you want to examine why this rule failed?',nl,
+     '        yes.    look at this rule',nl,
+     '        no.     try another rule',nl,
+     '        up.     go back to the rule this rule was called from',nl,
+     '        ok.     go to top-level prompt']),
+   whynotrule(Q,B,DB,Rep,Ass0,Ass1).
+whynotruleinterpret(Comm,Q,B,DB,Rep,Ass0,Ass1) :-
+   write_all(['     Unknown command: ',Comm,'. Type "help." for help.']),
+   whynotrule(Q,B,DB,Rep,Ass0,Ass1).
+
+
+report_whynot_conj(A,Res,B,DB,Rep,Ass0,Ass1,Ass2) :-
+   write_all(['  The proof for ',A,' succeeded.']),
+   (Ass0 \== Ass1 ->
+        write_all(['     assuming ',Ass1])
+   ; true
+   ),
+   writel(['   Is this the appropriate answer? [yes,no,debug,help]: ']),
+   flush_and_read(Comm),
+   why_not_conj_interpret(Comm,A,Res,B,DB,Rep,Ass1,Ass2).
+
+why_not_conj_interpret(debug,A,Res,B,DB,Rep,Ass0,Ass1) :- !,
+     traverse(Res,Rep1),
+     (Rep1 = up
+     -> report_whynot_conj(A,Res,B,DB,Rep,Ass0,Ass1)
+     ; Rep=Rep1).
+why_not_conj_interpret(yes,_,_,B,DB,Rep,Ass0,Ass1) :- !,
+     whynotb(B,DB,Rep,Ass0,Ass1).
+why_not_conj_interpret(no,_,_,_,_,_,_,_) :- !,
+   fail.      % find another proof for A
+
+why_not_conj_interpret(end_of_file,_,_,_,_,prompt,_,_) :- !,
+     write_all(['^D']).
+why_not_conj_interpret(ok,_,_,_,_,prompt,_,_) :- !,
+     write_all(['^D']).
+why_not_conj_interpret(help,A,Res,B,DB,Rep,Ass0,Ass1) :- !,
+    write_all([
+    '     yes.        this instance should have made the body succeed.',nl,
+    '     no.         this instance should lead to a failure of the body.',nl,
+    '     debug.      this instance is false, debug it.',nl,
+    '     ok.         I''ve had enough. Go to the prompt.',nl,
+    '     help.       print this message.']),
+    report_whynot_conj(A,Res,B,DB,Rep,Ass0,Ass1).
+why_not_conj_interpret(Comm,A,Res,B,DB,Rep,Ass0,Ass1) :-
+    write_all([' Unknown command: ',Comm,'. Type "help." for help.']),
+    report_whynot_conj(A,Res,B,DB,Rep,Ass0,Ass1).
+
+whynotb_expls(A,ETs,Rep) :-
+     write_all(['    ',~A,' succeeds, as ',A,' has the explanations: ']),
+     print_explanations(ETs,0),
+        writel(['  [up,top,retry,prompt,how i,help,whynot]: ']),
+   flush_and_read(Comm),
+   interpret_naf_how(Comm,ETs,Rep0),
+   (Rep0=repeat ->
+       whynotb_expls(A,ETs,Rep)
+   ;   Rep=Rep0
+   ).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            FILE INTERACTION
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+flush_and_read(T) :-
+   flush_output,
+   (read(T) -> true ; flush_and_read(T)).  % reads until no error.
+
+ci_load(File) :-
+   current_input(OldFile),
+   open(File,read,Input),
+   set_input(Input),
+   flush_and_read(T),
+   read_all(T),
+   set_input(OldFile),
+   write_all(['AILog theory ',File,' loaded.']).
+
+read_all(C) :-
+   file_or_command(C,file),
+   flush_and_read(T2),!,
+   read_all(T2).
+
+read_all(end_of_file) :- !.
+read_all((H :- B)) :- !,
+   write_all(['Error: Illegal Implication: ',H,' :- ',B,'. Use <- or prload.']).
+read_all(T) :-
+   tell_clause(T),
+   flush_and_read(T2),!,
+   read_all(T2).
+read_all(_).
+
+prolog_load(File) :-
+   current_input(OldFile),
+   open(File,read,Input),
+   set_input(Input),
+   flush_and_read(T),
+   prread_all(T),
+   set_input(OldFile),
+   write_all(['AILog theory ',File,' consulted.']).
+
+
+prread_all(T) :-
+   file_or_command(T,file),
+   flush_and_read(T2),
+   prread_all(T2).
+prread_all(end_of_file) :- !.
+prread_all(T) :- 
+   prillegal(T,Mesg),!,
+   write_all(Mesg).
+prread_all(T) :-
+   prtell(T),
+   flush_and_read(T2),
+   prread_all(T2).
+
+% prillegal(R,Mesg) is true if R is illegal Prolog rule. 
+%    Mesg is the corresponding error message.
+prillegal((H <- B),['Error. Illegal Implication: ',H,' <- ',B,
+                    '. Use :- in prload.']) :- !.
+prillegal((:- B),['Error. Commands not allowed. ":- ',B,'."']) :- !.
+prillegal((_ :- B),Mesg) :- !,
+   prillbody(B,Mesg).
+prillbody((A,_),Mesg) :-
+   prillbody(A,Mesg).
+prillbody((_,B),Mesg) :-
+   prillbody(B,Mesg).
+prillbody((_;_),['Prolog rules assume disjunction ";". Define it before loading.']) :-
+   \+ ((_;_) <- _).
+prillbody((A;_),Mesg) :-
+   prillbody(A,Mesg).
+prillbody((_;B),Mesg) :-
+   prillbody(B,Mesg).
+prillbody((_&_),['Error. Illegal conjunction in Prolog rules: &']):- !.
+prillbody(!,['Error. Cut (!) not allowed.']) :- !.
+prillbody((_ -> _ ; _),['Error. "->" is not implemented.']) :- !.
+prillbody((_ -> _ ),['Error. "->" is not implemented.']) :- !.
+
+% prtell(Cl) tells the prolog clause Cl
+prtell((H :- B)) :- !,
+   convert_body(B,B1),
+   assertz((H <- B1)).
+prtell(H) :-
+   assertz((H <- true)).
+
+% convert_body(PB,CB) converts Prolog body PB to ailog body CB
+convert_body((A,B),(A1&B1)) :- !,
+   convert_body(A,A1),
+   convert_body(B,B1).
+convert_body((A;B),(A1;B1)) :- !,
+   convert_body(A,A1),
+   convert_body(B,B1).
+convert_body((\+ A),(~ A1)) :- !,
+   convert_body(A,A1).
+convert_body(A,A).
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            MAIN LOOP
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+start :-
+   ailog_version(V,Y),
+   write_all([nl,
+     'AILog Version ',V,'. Copyright ',Y,', David Poole.',nl,
+     'AILog comes with absolutely no warranty.',nl,
+     'All inputs end with a period. Type "help." for help.']),
+   start1.
+
+start1 :-
+   catch(go,Exc,handle_exception(Exc)). 
+
+go :-
+   writel(['ailog: ']), 
+   flush_and_read(T),
+   (T == prolog ->
+        write_all(['Returning to Prolog. Type "start." to start ailog.'])
+   ; T == end_of_file ->
+        write_all(['^D']),
+        write_all(['Returning to Prolog. Type "start." to start ailog.'])
+   ; interpret(T),
+     !,
+     go).
+
+handle_exception(prompt) :- !, start1.
+handle_exception(quit) :- halt.
+handle_exception(Exc) :-
+   write_all(['Error: ',Exc]),
+   start1.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            CHECKING the KB
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% check searches through the knowledge base looking for a rule
+% containing an atom in the body which doesn't have a corresponding
+% definition (i.e., a clause with it at the head).
+check :-
+   (H <- B),
+   body_elt_undefined(B,H,B).
+check.
+
+check :-
+   (H <- _),
+   choice(H,_,_),
+   write_all([H,' should not be defined in a rule and as a probability.']),
+   fail.
+
+body_elt_undefined(true,_,_) :- !,fail.
+body_elt_undefined((A&_),H,B) :-
+   body_elt_undefined(A,H,B).
+body_elt_undefined((_&A),H,B) :- !,
+   body_elt_undefined(A,H,B).
+body_elt_undefined((~ A),H,B) :- !,
+   body_elt_undefined(A,H,B).
+body_elt_undefined((A;_),H,B) :-
+   body_elt_undefined(A,H,B).
+body_elt_undefined((_;A),H,B) :- !,
+   body_elt_undefined(A,H,B).
+body_elt_undefined(call(A),H,B) :- !,
+   body_elt_undefined(A,H,B).
+body_elt_undefined(_ \= _,_,_) :- !,fail.
+body_elt_undefined(_ #= _,_,_) :- !,fail.
+body_elt_undefined(A,_,_) :-
+   askabl(A),!,fail.
+body_elt_undefined(A,_,_) :-
+   assumabl(A),!,fail.
+body_elt_undefined(A,_,_) :-
+   choice(A,_,_),!,fail.
+body_elt_undefined(X=V,_,_) :-
+   arbit(X,V),!,fail.
+body_elt_undefined(A,_,_) :-
+   builtin(A,_),!,fail.
+body_elt_undefined(A,_,_) :-
+   (A <- _),!,fail.
+body_elt_undefined(A,H,B) :-
+   write_all(['Warning: no clauses for ',A,' in rule ',(H <- B),'.']),!,fail.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            STATS
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% uncomment the next line to make runtime checking the default
+%checking_runtime.
+
+% stats_command(Cmd) means "stats Cmd" was given as a command.
+stats_command(runtime) :- !,
+   retractall(checking_runtime),
+   asserta(checking_runtime),
+   write_all(['Runtime report turned on. Type "stats none." to turn it off.']).
+stats_command(none) :- !,
+   retractall(checking_runtime).
+stats_command(_) :-
+   write_all(['The stats commands implemented are:']),
+   write_all(['    stats runtime.        turn on report of runtime.']),
+   write_all(['    stats none.           turn off report of runtime.']).
+
+% reset_runtime means that we are storing the current valuse of
+% runtime.  This means that we are leaving out much of the ailog
+% overhead from the calcluation.
+
+reset_runtime :-
+   checking_runtime,
+   retractall(lastruntime(_)),
+   get_runtime(T,_),
+   asserta(lastruntime(T)),!.
+reset_runtime :-
+   checking_runtime ->
+       write_all([' Problem with runtime checking.'])
+    ;  true.
+
+report_runtime :-
+   checking_runtime,
+   lastruntime(T),
+   get_runtime(T1,Units),
+   RT is T1 - T,
+   write_all([' Runtime since last report: ',RT,' ',Units,'.']),!.
+report_runtime :-
+   checking_runtime ->
+   write_all([' Problem with runtime reporting.'])
+    ;  true.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            NOGOOD Handling
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% A nogood is a set of assumables that is inconsistent
+construct_nogoods(DB) :-
+   depth_bound(DB),
+   retractall(failed(_)),
+   assert(failed(naturally)),
+   reset_runtime,
+   solve(false,DB,PfTree,[wrule(yes,true,false,true)],ass([],[],1),ass(Ass,_,_)),
+   assert(nogood(Ass,PfTree)),
+   assert_each_nogood(Ass,[]),
+   fail.
+construct_nogoods(DB) :-
+   failed(naturally)
+      -> write_all(['Nogoods recorded. Type "nogoods." to see them.'])
+      ;  write_all(['Nogoods recorded, but depth-bound ',DB,' reached. Type "nogoods." to see them.']).
+
+assert_each_nogood([],[]).
+assert_each_nogood([H|NotDone],Done) :-
+	append(NotDone,Done,Rest),
+	assert(anogood(H,Rest)),
+	assert_each_nogood(NotDone,[H|Done]).
+
+list_nogoods :-
+        nogood(NG,_),
+	write_all(['Nogood: ',NG,'.']), fail.
+list_nogoods.
+
+good(A,E) :-
+	\+ bad(A,E).
+bad(A,E) :-
+	ground((A,E)),
+	anogood(A,N),
+	subset(N,E).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%            HELPERS
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% write_all(L) writes each element of list L, ends with new line
+write_all(L) :-
+   \+ \+ (mynumbervars(L,0,_),writel0(L)),
+   nl.
+% writel(L) writes each element of list L
+writel(L) :-
+   \+ \+ (mynumbervars(L,0,_),writel0(L)).
+
+% writel0(L) writes each element of list L
+writel0([]) :- !.
+writel0([nl|T]) :- !,
+   nl,
+   writel0(T).
+writel0([H|T]) :-
+   mywrite(H),
+   writel0(T).
+
+% writeAllDelim(L,D) writes the elements of L using delimiter D
+writeAllDelim(L,D) :-
+   \+ \+ (mynumbervars(L,0,_),writeAllDelim0(L,D)).
+
+writeAllDelim0([],_) :-!.
+writeAllDelim0([E],_) :- !, mywrite(E).
+writeAllDelim0([H|T],nl) :- !, mywrite(H),nl,writeAllDelim0(T,nl).
+writeAllDelim0([H|T],D) :- mywrite(H),mywrite(D),writeAllDelim0(T,D).
+
+% mywrite(T) writes term T
+mywrite(T) :-
+   write_term(T,[numbervars(true),portray(true)]).
+
+portray(A&B) :- mywrite(A),mywrite(' & '),mywrite(B).
+
+% insert_into_sorted_list(E,L,R) inserts E into sorted list L producing R
+insert_into_sorted_list(A,[],[A]).
+insert_into_sorted_list(A,[A1|R],[A|R]) :- A == A1,!.
+insert_into_sorted_list(A,[A1|R],[A,A1|R]) :- A @< A1, !.
+insert_into_sorted_list(A,[B|R],[B|R1]) :-
+   insert_into_sorted_list(A,R,R1).
+
+% insertUpdateProbs(E,L) inserts E into sorted list L
+insertUpdateProbs(A,[],[A]).
+insertUpdateProbs(A,[A1|R],[A|R]) :- A == A1,!.
+insertUpdateProbs(A,[A1|R],[A,A1|R]) :- A @< A1, !.
+insertUpdateProbs(A,[B|R],[B|R1]) :-
+   insertUpdateProbs(A,R,R1).
+
+% consistent(L1,L2) is true if L1 & L2 are sorted lists with no
+% elements in common. 
+consistent([],_) :- !.
+consistent(_,[]) :- !.
+consistent([A1|R1],[A2|R2]) :-
+   A1 @< A2, !,
+   consistent(R1,[A2|R2]).
+consistent([A1|R1],[A2|R2]) :-
+   A1 @> A2, !,
+   consistent([A1|R1],R2).
+
+% remove(E,L,L1) removes E from list L producing L1
+remove(E,[E|L],L).
+remove(E,[A|L],[A|R]) :-
+   remove(E,L,R).
+
+
+% subset_sorted(L1,L2) is true if list L1 is a subset of L2
+% all lists are assumed to be ground and sorted.
+subset_sorted([],_) :- !.
+subset_sorted([A|L1],[A|L2]) :- !,
+  subset_sorted(L1,L2).
+subset_sorted([A1|L1],[A2|L2]) :-
+  A2 @< A1,
+  subset_sorted([A1|L1],L2).
+
+% setDiff(S1,S2,S3) S3 = S1-S2. All lists are sorted.
+
+setDiff([],_,[]) :- !.
+setDiff(S,[],S) :- !.
+setDiff([A|L1],[A|L2],R) :- !,
+   setDiff(L1,L2,R).
+setDiff([A1|L1],[A2|L2],[A1|R]) :-
+   A1 @< A2, !,
+   setDiff(L1,[A2|L2],R).
+setDiff(L1,[_|L2],R) :-
+   setDiff(L1,L2,R).
+
+% mywhen(C,G) replaces "when". It does not delay, but instead gives an
+% error. This is now redundant as SWI has "when".
+mywhen(C,G) :-
+   C -> G 
+   ;
+    write_all(['Warning: ',C,' failing. Delaying not implemented.']),
+    fail.
+
+% ith(L,E,I,I0) is true if E is the Ith element of list L, starting to
+% count from I0
+ith([],_,_,_) :-
+   throw(outofrange).
+ith([H|_],H,I,I) :- !.
+ith([_|T],E,I,I0) :-
+   I>I0, !,
+   I1 is I0+1,
+   ith(T,E,I,I1).
+ith(_,_,_,_) :-
+   throw(outofrange).
+
+idmember(A,[A1|_]) :- A==A1,!.
+idmember(A,[_|L]) :- idmember(A,L).
+
+mynumbervars(Term, From, To) :-
+	numbervars(Term, From, To, [attvar(bind)]).
+
+issorted([]).
+issorted([_]).
+issorted([E1,E2|R]) :-
+	E1 @< E2,
+	issorted([E2|R]).
+
+check_sorted(L) :-
+	issorted(L),!.
+check_sorted(L) :-
+	write_all(['Warning: not sorted: ',L]).
+
+% Run "start" at initialization
+:- initialization(start).
\ No newline at end of file
diff --git a/pl-ail-files/exercise0.pl b/pl-ail-files/exercise0.pl
new file mode 100644
index 0000000..7b5771f
--- /dev/null
+++ b/pl-ail-files/exercise0.pl
@@ -0,0 +1,44 @@
+/* The facts about the Dutch Royal Family */
+
+mother(wilhelmina, juliana).
+mother(juliana, beatrix).
+mother(juliana, christina).
+mother(juliana, irene).
+mother(juliana, margriet).
+mother(beatrix, friso).
+mother(beatrix, alexander).
+mother(beatrix, constantijn).
+mother(emma, wilhelmina).
+
+father(hendrik, juliana).
+father(bernard, beatrix).
+father(bernard, christina).
+father(bernard, irene).
+father(bernard, margriet).
+father(claus, friso).
+father(claus, alexander).
+father(claus, constantijn).
+father(willem, wilhelmina).
+
+queen(beatrix).
+queen(juliana).
+queen(wilhelmina).
+queen(emma).
+king(willem).
+
+/* rules */
+
+parent(X, Y) :- mother(X, Y).
+parent(X, Y) :- father(X, Y).
+
+ruler(X) :- queen(X).
+ruler(X) :- king(X).
+
+predecessor(X, Y) :-
+   parent(X, Y),
+   ruler(X),
+   ruler(Y).
+predecessor(X, Y) :-
+   ruler(X),
+   parent(X, Z),
+   predecessor(Z, Y).
diff --git a/pl-ail-files/exercise10.ail b/pl-ail-files/exercise10.ail
new file mode 100644
index 0000000..3ad7a0c
--- /dev/null
+++ b/pl-ail-files/exercise10.ail
@@ -0,0 +1,44 @@
+/* The facts about the Dutch Royal Family */
+
+mother(wilhelmina, juliana).
+mother(juliana, beatrix).
+mother(juliana, christina).
+mother(juliana, irene).
+mother(juliana, margriet).
+mother(beatrix, friso).
+mother(beatrix, alexander).
+mother(beatrix, constantijn).
+mother(emma, wilhelmina).
+ 
+father(hendrik, juliana).
+father(bernard, beatrix).
+father(bernard, christina).
+father(bernard, irene).
+father(bernard, margriet).
+father(claus, friso).
+father(claus, alexander).
+father(claus, constantijn).
+father(willem, wilhelmina).
+ 
+queen(beatrix).
+queen(juliana).
+queen(wilhelmina).
+queen(emma).
+king(willem).
+ 
+/* rules */
+
+parent(X, Y) <- mother(X, Y).
+parent(X, Y) <- father(X, Y).
+ 
+ruler(X) <- queen(X).
+ruler(X) <- king(X).
+
+predecessor(X, Y) <-
+        predecessor(Z, Y) &
+        ruler(X) &
+        parent(X, Z).
+predecessor(X, Y) <-
+	parent(X, Y) &
+        ruler(X) &
+        ruler(Y).
diff --git a/pl-ail-files/exmbr.ail b/pl-ail-files/exmbr.ail
new file mode 100644
index 0000000..7ea73b4
--- /dev/null
+++ b/pl-ail-files/exmbr.ail
@@ -0,0 +1,16 @@
+assumable a1.
+assumable a2.
+assumable fever.
+assumable flu.
+assumable sport.
+
+chills  <- fever & a1.
+fever   <- flu.
+thirst  <- fever.
+myalgia <- flu & a2.
+myalgia <- sport.
+
+false <- chills.
+create_nogoods.
+
+
diff --git a/pl-ail-files/heart.ail b/pl-ail-files/heart.ail
new file mode 100644
index 0000000..ef92128
--- /dev/null
+++ b/pl-ail-files/heart.ail
@@ -0,0 +1,141 @@
+% Subset of the knowledge base put together by a cardiologist
+% of AMC Amsterdam for the 112 alarm service.
+% Idea was that centralists (people answering the phone) should
+% be given assistance in posing the right questions to people
+% calling 112 for cardiac problems. In some cases, when there
+% was an emergency, an ambulance needs to be send, where in
+% others it would save money to send the person to general care.
+% So the essential question is: is there an emergency situation
+% or not.
+
+askable age(Patient) = V.
+askable duration(Patient,heart,pain) = V.
+askable diabetic(Patient).
+askable smoking(Patient).
+askable pain(Patient).
+askable similar_symptoms(Patient,angina_pectoris).
+askable similar_symptoms(Patient,myocardial_infarction).
+askable pattern(Patient,pain,retrosternal).
+askable pattern(Patient,pain,left_lateral_thoracic).
+askable pattern(Patient,pain,right_lateral_thoracic).
+askable provocation(Patient,pain,emotions).
+askable provocation(Patient,pain,food_consumption).
+askable provocation(Patient,pain,physical_exertion).
+askable provocation(Patient,pain,warmth_to_cold_change).
+
+sclerotic_arteries(Patient) <-
+ age(Patient) = A &
+ A > 50.
+
+sclerotic_arteries(Patient) <-
+  diabetic(Patient);
+  smoking(Patient).
+
+known_disease(Patient,angina_pectoris) <-
+  pain(Patient) &
+  similar_symptoms(Patient,angina_pectoris).
+
+known_disease(Patient,myocardial_infarction) <-
+  pain(Patient) &
+  similar_symptoms(Patient,myocardial_infarction).
+
+state(Patient,atherosclerosis) <-
+  sclerotic_arteries(Patient);
+  known_disease(Patient,myocardial_infarction);
+  known_disease(Patient,angina_pectoris).
+
+ischaemia(Patient,heart) <-
+  pain(Patient) &
+  pattern(Patient,pain,retrosternal).
+
+ischaemia(Patient,heart) <-
+  pain(Patient) &
+  pattern(Patient,pain,left_lateral_thoracic).
+
+ischaemia(Patient,heart) <-
+  pain(Patient) &
+  pattern(Patient,pain,right_lateral_thoracic).
+
+state(Patient,coronary_vasodilatation) <-
+  pain(Patient) &
+  present_treatment(Patient,anti_anginal) &
+  cardiac_pain(Patient,gone).
+
+pain(Patient,clear_provocation) <-
+  pain(Patient) &
+  provocation(Patient,pain,emotion).
+
+pain(Patient,clear_provocation) <-
+  pain(Patient) &
+   provocation(Patient,pain,food_consumption).
+
+pain(Patient,clear_provocation) <-
+  pain(Patient) &
+  provocation(Patient,pain,physical_exertion).
+
+pain(Patient,clear_provocation) <-
+  pain(Patient) &
+  provocation(Patient,pain,warmth_to_cold_change).
+
+o2_demand(Patient,heart,increased) <-
+  pain(Patient,clear_provocation).
+
+o2_demand(Patient,heart,normal) <-
+  ~pain(Patient,clear_provocation).
+
+ischaemia(Patient,heart) <-
+  pain(Patient) &
+  state(Patient,atherosclerosis).
+
+state(Patient,heart,necrosis) <-
+  state(Patient,ischaemia,irreversible).
+
+o2_supply(Patient,heart,decreased) <-
+  ischaemia(Patient,heart) &
+  o2_demand(Patient,heart,normal).
+
+state(Patient,ischaemia,irreversible) <-
+  ischaemia(Patient,heart) &
+  duration(Patient,heart,pain) = D &
+  D > 30 &
+  ~state(Patient,coronary_vasodilatation).
+
+state(Patient,ischaemia,reversible) <-
+  ischaemia(Patient,heart) &
+  duration(Patient,heart,pain) = D &
+  D < 30.
+
+state(Patient,ischaemia,reversible) <-
+  ischaemia(Patient,heart) &
+  state(Patient,coronary_vasodilatation).
+
+disorder(Patient,myocardial_infarction) <-
+  state(Patient,heart,necrosis) &
+  state(Patient,atherosclerosis).
+
+disorder(Patient,unstable_angina_pectoris) <-
+  o2_demand(Patient,heart,normal) &
+  state(Patient,ischaemia,irreversible) &
+  state(Patient,atherosclerosis).
+
+disorder(Patient,stable_angina_pectoris) <-
+  state(Patient,atherosclerosis) &
+  state(Patient,ischaemia,reversible) &
+  o2_demand(Patient,heart,increased).
+
+disorder(Patient,variant_angina_pectoris) <-
+  ~state(Patient,atherosclerosis) &
+  state(Patient,ischaemia,reversible) &
+  o2_supply(Patient,heart,decreased).
+
+condition(Patient,emergency) <-
+  disorder(Patient,unstable_angina_pectoris).
+
+condition(Patient,emergency) <-
+  disorder(Patient,myocardial_infarction).
+
+condition(Patient,no_emergency) <-
+  disorder(Patient,stable_angina_pectoris).
+
+condition(Patient,no_emergency) <-
+  disorder(Patient,variant_angina_pectoris).
diff --git a/report/report.tex b/report/report.tex
new file mode 100644
index 0000000..e69de29
-- 
2.20.1