Perfect Model Semantics for Logic Programs with Equality

Bachmair, Leo; Ganzinger, Harald

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Perfect Model Semantics for Logic Programs with Equality

Bachmair, L., & Ganzinger, H. (1991). Perfect Model Semantics for Logic Programs with Equality. In Logic Programming (pp. 645-659). Cambridge, Mass.: MIT Press.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0023-CED2-7 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-0C0C-9

Genre: Conference Paper

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Creators:
Bachmair, Leo¹, Author
Ganzinger, Harald², Author

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1External Organizations, ou_persistent22
2Programming Logics, MPI for Informatics, Max Planck Society, ou_40045

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Abstract: We develop a perfect model semantics for logic programs with negation and
equality. Our approach is based on ordered rewriting, a fundamental technique
used in equational programming. A logic program in our sense is a set of
first-order clauses with equality together with a well-founded ordering on
terms and atoms. We show that any consistent logic program has a unique perfect
model, provided the ordering is total on ground expressions. The key to this
result is a notion of saturation of a set of formulas (under certain inference
rules) together with a related concept of redundancy. Our techniques can be
applied to Prolog-programs (without equality), in which case a class of
programs can be characterized via the notion of stratification up to redundancy
for which unique perfect models exist. This extends previous results on (local
and weak) stratification.

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Language(s): eng - English

Dates: Date issued: 1991

Publication Status: Issued

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Identifiers: BibTex Citekey: BachmairGanzinger-91-iclp

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Title: Eigth International Conference on Logic Programming

Place of Event: Paris

Start-/End Date: 1991-07-24 - 1991-07-28

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Title: Logic Programming

Subtitle : Proceedings of the eighth International Conference [on Logic Programming, held in Paris, France, June 24 - 28, 1991]

Source Genre: Proceedings

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Publ. Info: Cambridge, Mass. : MIT Press

Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 645 - 659 Identifier: ISBN: 0-262-56058-5