This chapter introduces the field of computational complexity in modal logic and provides some fundamental answers. The basic modal language, ...
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Abstract. Modal logics are widely used in computer science. The complexity of modal satisfiability problems has been investigated since the 1970s, usually ...
As new results, we show that: a) the satisfiability problem of sets of Horn modal clauses with modal depth bounded by k ≥ 2 in the modal logics K4 and KD4 is.
Jan 11, 2022 · In this thesis, we develop a theory of the sources of complexity in modal logics--by identifying specific features that, when possessed by a ...
Oct 2, 1996 · we discuss how notions of common knowledge and distributed knowledge among a group of agents fit into the possible-worlds framework.
Feb 29, 2000 · A modal is an expression (like 'necessarily' or 'possibly') that is used to qualify the truth of a judgement. Modal logic is, strictly ...
Dec 1, 2013 · 1) Define the ϕ−MODEL problem as: Given a finite structure M=(W,R,V,w), where W is a set, R⊆W×W, V:Φ→2W and w∈W, is ϕ satisfied in M, as per ...
we show how general techniques for finding decision procedures and complete axiomatizations apply to models for knowledge and belief, (2) we show how sensitive ...
This shows that the computational complexity of a modal or superintuitionistic propositional logic is, in general, not related to the size of the countermodels ...
Apr 1, 2021 · The main goal of this work is to introduce a modal logic allowing Presburger constraints (more general than those in graded modal log- ics [BC85 ...