Computation tree logic: Difference between revisions

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*'''AG'''(P<math>\Rightarrow</math>(('''EX'''.Q)<math>\land</math>('''EX'''¬Q))) and '''AG.EF'''.P exist in CTL but not in LTL.
 
== Extensions ==
CTL has been extended with second order quantifier <math>\exists p</math> and <math>\forall p</math>. There are two semantics:
 
* the tree semantics. We label nodes of the computation tree. QCTL* = QCTL = MSO over trees. Model checking and satisfiability are tower-complete.
* the structure semantics. We label states. QCTL* = QCTL = MSO over graphs. Model checking is PSPACE-complete but satisfiability is undecidable.
 
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==See also==
*[[Probabilistic CTL]]