The existence of refinement mappings
Theoretical Computer Science
Tree automata, Mu-Calculus and determinacy
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
Reasoning about knowledge
Specifying Concurrent Program Modules
ACM Transactions on Programming Languages and Systems (TOPLAS)
A Calculus of Communicating Systems
A Calculus of Communicating Systems
Automata for the Modal mu-Calculus and related Results
MFCS '95 Proceedings of the 20th International Symposium on Mathematical Foundations of Computer Science
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
Reasoning about The Past with Two-Way Automata
ICALP '98 Proceedings of the 25th International Colloquium on Automata, Languages and Programming
Concurrency and Automata on Infinite Sequences
Proceedings of the 5th GI-Conference on Theoretical Computer Science
Automata logics, and infinite games: a guide to current research
Automata logics, and infinite games: a guide to current research
An axiomatization of bisimulation quantifiers via the µ-calculus
Theoretical Computer Science
The temporal logic of programs
SFCS '77 Proceedings of the 18th Annual Symposium on Foundations of Computer Science
Bisimulation quantified logics: undecidability
FSTTCS '05 Proceedings of the 25th international conference on Foundations of Software Technology and Theoretical Computer Science
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We investigate the extension of modal logics by bisimulation quantifiers and present a class of modal logics which is decidable when augmented with bisimulation quantifiers. These logics are refered to as the idempotent transduction logics and are defined using the programs of propositional dynamic logic including converse and tests. This is a nontrivial extension of the decidability of the positive idempotent transduction logics which do not use converse operators in the programs (French, 2006). This extension allows us to apply bisimulation quantifiers to, for example, logics of knowledge, logics of belief and tense logics. We show the idempotent transduction logics preserve the axioms of propositional quantification and are decidable. The definition of idempotent transduction logics allows us to apply these results to a number of combined modal logics with a variety of interactions between modalities.