SIGLEAvailable from TIB Hannover: RO 7629(88-08) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Ohlbach, H.J.

A resolution calculus for the quantiﬁed versions of the modal logics K, T, K4, KB, S4, S5, B, D, D4 and DB is presented. It presupposes a syntax transformation, similar to the skolemization in predicate logic, that eliminates the modal operators from modal logic formulae and shifts the modal context information to the term level. The formulae in the transformed syntax can be translated into conjunctive normal form such that a clause based modal resolution calculus is deﬁnable without any additional inference rule, but with special modal uniﬁcation algorithms. The method can be applied to first-order modal logics with the two operators □ and ◊ and with standard constant-domain possible worlds semantics with ﬂexible constant and function symbols, where the accessibility relation may have any combination of the following properties: reflexivity, symmetry, transitivity, seriality or non-seriality. While extensions to other systems seem possible, they have not yet been investigated

Ohlbach, Hans Jürgen

Universaar

A Resolution Calculus for Modal Logics

Max Planck Society eDoc Server

OpenGrey Repository

A resolution calculus for modal logics

Acronym

English

Ohlbach, H.

MPG.PuRe

https://publikationen.sulb.uni-saarland.de/bitstream/20.500.11880/36236/1/SEKI-Report-SR-88-08_Ohlbach_A-Resolution-Calculus-for-Modal-Logics.pdf

A resolution calculus for modal logics

Abstract

Similar works

Full text

Available Versions

Universaar

Max Planck Society eDoc Server

OpenGrey Repository

Acronym

MPG.PuRe

MPG.PuRe