Łukasiewicz logic: From proof systems to logic programming

George Metcalfe; Nicola Olivetti; Dov Gabbay

doi:10.1093/jigpal/jzi042

Łukasiewicz logic: From proof systems to logic programming

George Metcalfe, Nicola Olivetti, Dov Gabbay

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We present logic programming style "goal-directed" proof methods for Łukasiewicz logic Ł that both have a logical interpretation, and provide a suitable basis for implementation. We introduce a basic version, similar to goal-directed calculi for other logics, and make refinements to improve efficiency and obtain termination. We then provide an algorithm for fuzzy logic programming in Rational Pavelka logic RPL, an extension of Ł with rational constants.

Original language	English
Pages (from-to)	561-585
Number of pages	25
Journal	Logic Journal of the IGPL
Volume	13
Issue number	5
DOIs	https://doi.org/10.1093/jigpal/jzi042
State	Published - Sep 2005
Externally published	Yes

Keywords

Fuzzy logics
Goal-directed methods
Logic programming
Łukasiewicz logics

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10.1093/jigpal/jzi042

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abstract = "We present logic programming style {"}goal-directed{"} proof methods for {\L}ukasiewicz logic {\L} that both have a logical interpretation, and provide a suitable basis for implementation. We introduce a basic version, similar to goal-directed calculi for other logics, and make refinements to improve efficiency and obtain termination. We then provide an algorithm for fuzzy logic programming in Rational Pavelka logic RPL, an extension of {\L} with rational constants.",

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KW - Fuzzy logics

KW - Goal-directed methods

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KW - Łukasiewicz logics

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Łukasiewicz logic: From proof systems to logic programming

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Keywords

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