Automata-Theoretic techniques for modal logics of programs
Journal of Computer and System Sciences
Modal logics for knowledge representation systems
Theoretical Computer Science
The nondeterministic information logic NIL is PSPACE-complete
Fundamenta Informaticae
Incomplete Information: Rough Set Analysis
Incomplete Information: Rough Set Analysis
Incomplete Information: Structure, Inference, Complexity
Incomplete Information: Structure, Inference, Complexity
Modal Logics with Relative Accessibility Relations
FAPR '96 Proceedings of the International Conference on Formal and Applied Practical Reasoning
LFCS '94 Proceedings of the Third International Symposium on Logical Foundations of Computer Science
Automata-Theoretic Decision Procedures for Information Logics
Fundamenta Informaticae
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We define a relative version of the logic NIL introduced by Orłowska, Pawlak and Vakarelov and we show that its satisfiability is not only decidable but also EXPTIME-complete. Such a logic combines two ingredients that are seldom present simultaneously in information logics: frame conditions involving more than one information relation and relative frames. The EXPTIME upper bound is obtained by designing a well-suited decision procedure based on the nonemptiness problem of Büchi automata on infinite trees. The paper provides evidence that Büchi automata on infinite trees are crucial language acceptors even for relative information logics with multiple types of relations.