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Logics for Contravariant Simulations

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arxiv 2402.00964 v1 pith:EMQSGYNT submitted 2024-02-01 cs.LO

Logics for Contravariant Simulations

classification cs.LO
keywords simulationbehaviorselaboratedfactnotionsimpleadequatealways
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Covariant-contravariant simulation and conformance simulation are two generalizations of the simple notion of simulation which aim at capturing the fact that it is not always the case that "the larger the number of behaviors, the better". Therefore, they can be considered to be more adequate to express the fact that a system is a correct implementation of some specification. We have previously shown that these two more elaborated notions fit well within the categorical framework developed to study the notion of simulation in a generic way. Now we show that their behaviors have also simple and natural logical characterizations, though more elaborated than those for the plain simulation semantics.

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