MBT with LTS 1
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+Terminology:
+s0->s1 transition
+s0=>s1 transition composition
+s0=> executable sequence
+s0=/> non-executable sequence
+
+trace: sequence of possible
+reachable states: s after omega
+- s: state
+- omega: trace
+
+Representation
+- 4-tuple: (S, L, T, s0) States, Labels, Transition function, initial state
+- tree/graph
+- language/behaviour expression:
+ - := : assignment
+ - stop : termination
+ - ; : sequence
+ - label: transition input
+ - [] : choice
+ - ||| : parallel
+ - |[G]|: parallel synchronized on elements in G
+- equivalence from strong to weak
+ - isomorphism: need to observe tau
+ - bisimulation: infinite undo, copy and repeat
+ - failure trace: test with another lts and continue on failure
+ - testing trace: test LTS with another LTS, refusal
+ - completed trace: observe sequence and end
+ - trace: observe sequence
MBT with LTS 2
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+i imp s: implementation i implements specification s
+- trace preorder:
+ i <=_tr s: all traces(i) subset of traces(s)
+- testing preorder:
+ i <=_te s: test with another lts, refusal
+- i ioco s:
+ - for all straces s: x after omega in i subset of x after omega s
+ - intuitively:
+ - if i produces x after omega then s can produce x after omega
+ - if i can't produce output after omega then s can't produce output
+ after omega
MBT with LTS 3
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+- testcase is a lts
+ - ! is input, ? output. Other way around
+ - L and theta, theta is quiescence
+ - tree, finite deterministic
+ - complete
+- generation: recursively do either:
+ - end test case
+ - supply !a
+ - observe all outputs
+- execution: all parallel possible executions should pass
+- soundness: i ioco s -> i passes t
+ - disprove: find a failing test if ioco
+- exhaustiveness: i not ioco s -> there is a testcase for which i fails t
+ - disprove: prove there all testcases pass
MBT with LTS 4
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-
+- test selection by: user, test tool, random
+- compositionality: if systems input enabled ioco is preserved in composition.
+ otherwise not
MBT with GAST
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