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Titolo:
DISSOLUTION - MAKING PATHS VANISH
Autore:
MURRAY NV; ROSENTHAL E;
Indirizzi:
SUNY,DEPT COMP SCI ALBANY NY 12222 UNIV NEW HAVEN,DEPT MATH W HAVEN CT 06516
Titolo Testata:
Journal of the Association for Computing Machinery
fascicolo: 3, volume: 40, anno: 1993,
pagine: 504 - 535
Fonte:
ISI
Lingua:
ENG
Soggetto:
RESOLUTION; MATRICES; MATINGS;
Keywords:
ALGORITHMS; THEORY; AUTOMATED DEDUCTION; INFERENCE; MATRIX METHODS; PATH; PRAWITZ ANALYSIS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Citazioni:
25
Recensione:
Indirizzi per estratti:
Citazione:
N.V. Murray e E. Rosenthal, "DISSOLUTION - MAKING PATHS VANISH", Journal of the Association for Computing Machinery, 40(3), 1993, pp. 504-535

Abstract

Path dissolution, a rule of inference that operates on formulas in negation normal form and that employs a representation called semantic graphs is introduced. Path dissolution has several advantages in comparison with many other inference technologies. In the ground case, it preserves equivalence and is strongly complete: Any sequence of dissolution steps applied exhaustively to a semantic graph G will yield an equivalent linkless graph G'. Furthermore, one need not (and cannot) restrict attention to conjunctive normal form (CNF) when employing dissolution: A single application (even to a CNF formula) generally produces a non-CNF formula that is more compact than any of its CNF equivalents. Path dissolution is a global rule; as such, it is employed at the first order level diffeently from the way locally oriented techniques (such as resolution) are. Two methods for employing dissolution as an inference mechanism for first order logic are presented. Dissolution is related to our theory links mechanism, to the factoring of formulas with the distributive laws, and to analytic tableaux. Some preliminary experimental results are also reported.

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Documento generato il 29/11/20 alle ore 18:39:09