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APAL
2008

Approximations of modal logics: K and beyond

11 years 1 months ago
Approximations of modal logics: K and beyond
Inspired by recent work on approximations of classical logic, we present a method that approximates several modal logics in a modular way. Our starting point is the limitation of the n-degree of introspection that is allowed, thus generating modal n-logics. Semantics for n-logics is presented, in which formulas are evaluated with respect to paths, and not possible worlds. A tableau-based proof system is presented, n-SST, and soundness and completeness is shown for the approximation of modal logics K, T, D, S4 and S5. Key words: Modal Logic, Approximated Inference, Single Step Tableaux
Guilherme de Souza Rabello, Marcelo Finger
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2008
Where APAL
Authors Guilherme de Souza Rabello, Marcelo Finger
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