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  Buchberger's algorithm: a constraint-based completion procedure

Bachmair, L., & Ganzinger, H. (1994). Buchberger's algorithm: a constraint-based completion procedure. In J.-P. Jouannaud (Ed.), Proceedings of the 1st International Conference on Constraints in Computational Logics (CCL'94) (pp. 285-301). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AD63-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-AD64-A
Genre: Conference Paper

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 Creators:
Bachmair, Leo1, Author           
Ganzinger, Harald1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We present an extended completion procedure with built-in theories defined by a collection of associativity and commutativity axioms and additional ground equations, and reformulate Buchberger's algorithm for constructing Gr\"obner bases for polynomial ideals in this formalism. The presentation of completion is at an abstract level, by transition rules, with a suitable notion of fairness used to characterize a wide class of correct completion procedures, among them Buchberger's original algorithm for polynomial rings over a field.

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Language(s): eng - English
 Dates: 2010-03-121994
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519599
Other: Local-ID: C1256104005ECAFC-BA23B4970CE48A12C125614C004A6FA2-BachmairGanzinger-94-ccl
 Degree: -

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Title: Untitled Event
Place of Event: Munich, Germany
Start-/End Date: 1994

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Title: Proceedings of the 1st International Conference on Constraints in Computational Logics (CCL'94)
Source Genre: Proceedings
 Creator(s):
Jouannaud, Jean-Pierre, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 285 - 301 Identifier: -

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -