Publication details

Hennessy-Milner Logic with Greatest Fixed Points as a Complete Behavioural Specification Theory



Year of publication 2013
Type Article in Proceedings
Conference CONCUR 2013 - Concurrency Theory - 24th International Conference
MU Faculty or unit

Faculty of Informatics

Field Informatics
Keywords modal transition systems; composition; specification; interface theory
Description There are two fundamentally different approaches to specifying and verifying properties of systems. The logical approach makes use of specifications given as formulae of temporal or modal logics and relies on efficient model checking algorithms; the behavioural approach exploits various equivalence or refinement checking methods, provided the specifications are given in the same formalism as implementations. In this paper we provide translations between the logical formalism of Hennessy-Milner logic with greatest fixed points and the behavioural formalism of disjunctive modal transition systems. We also introduce a new operation of quotient for the above equivalent formalisms, which is adjoint to structural composition and allows synthesis of missing specifications from partial implementations. This is a~substantial generalisation of the quotient for deterministic modal transition systems defined in earlier papers.
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