Presentation 2000/9/18
A Tableau-based Reconstruction of Consequence Finding Procedure SOL
Koji Iwanuma, Katsumi Inoue, Ken Satoh,
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Abstract(in English) The consequence finding problem is a generalization of the refutation finding problem. The SOL-resolution which is a Model-Elimination-like calculus with Skip operation, is one of the most significant calculi for the consequence finding problem. The concept"completeness"of consequence-finding calculi differs from the one of refutation finding calculi, hence the pruning methods that are complete for refutation finding tasks may not be complete for consequence finding problems. In this paper, we first reformulate SOL-resolution within connection tableaux and properly strengthen a structural condition, called the skip-regularity, which reduces a great amount of the redundancies in the search space. Next we investigate various types of pruning methods, such as order-preserving reduction, lemma matching, merge, unit subsumption, etc, and show the completeness theorems of each pruning method for consequence finding. Finally we show Skip operation itself has a significantly important feature as a new local failure pruning method in consequence finding.
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Keyword(in English) consequence finding / theorem proving / refutation finding / linear resolution / tableau
Paper # AI2000-34
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Conference Information
Committee AI
Conference Date 2000/9/18(1days)
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Registration To Artificial Intelligence and Knowledge-Based Processing (AI)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Tableau-based Reconstruction of Consequence Finding Procedure SOL
Sub Title (in English)
Keyword(1) consequence finding
Keyword(2) theorem proving
Keyword(3) refutation finding
Keyword(4) linear resolution
Keyword(5) tableau
1st Author's Name Koji Iwanuma
1st Author's Affiliation Yamanashi University()
2nd Author's Name Katsumi Inoue
2nd Author's Affiliation Kobe University
3rd Author's Name Ken Satoh
3rd Author's Affiliation Hokkaido University
Date 2000/9/18
Paper # AI2000-34
Volume (vol) vol.100
Number (no) 321
Page pp.pp.-
#Pages 8
Date of Issue