A logical characterization of forward and backward chaining in the inverse method

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Abstract

The inverse method is a generalization of resolution that can be applied to non-classical logics. We have recently shown how Andreoli's focusing strategy can be adapted for the inverse method in linear logic. In this paper we introduce the notion of focusing bias for atoms and show that it gives rise to forward and backward chaining, generalizing both hyperresolution (forward) and SLD resolution (backward) on the Horn fragment. A key feature of our characterization is the structural, rather than purely operational, explanation for forward and backward chaining. A search procedure like the inverse method is thus able to perform both operations as appropriate, even simultaneously. We also present experimental results and an evaluation of the practical benefits of biased atoms for a number of examples from different problem domains.

Original languageEnglish
Title of host publicationAutomated Reasoning - Third International Joint Conference, IJCAR 2006, Proceedings
PublisherSpringer Verlag
Pages97-111
Number of pages15
ISBN (Print)3540371877, 9783540371878
DOIs
Publication statusPublished - 1 Jan 2006
Externally publishedYes
EventThird International Joint Conference on Automated Reasoning, IJCAR 2006 - Seattle, WA, United States
Duration: 17 Aug 200620 Aug 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4130 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceThird International Joint Conference on Automated Reasoning, IJCAR 2006
Country/TerritoryUnited States
CitySeattle, WA
Period17/08/0620/08/06

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