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  Linear 0-1 Inequalities and Extended Clauses

Barth, P. (1993). Linear 0-1 Inequalities and Extended Clauses. In A. Voronkov (Ed.), Proceedings~4th International~Conference on Logic Programming and Automated Reasoning LPAR '93 (pp. 40-51). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-ADDF-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-ADE0-3
Genre: Conference Paper

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 Creators:
Barth, Peter1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: Extended clauses are the basic formulas of the 0-1 constraint solver used in the constraint logic programming language CLP($\cal PB$). We present a method for transforming an arbitrary linear 0-1 inequality into a set of extended clauses, such that the solution space remains invariant. The method relies on cutting planes techniques known from integer programming. We develop special redundancy criteria and can so produce the minimal number of extended clauses. We show how the algorithm can be used to replace the resolution rule in the generalized resolution algorithm for extended clauses. Furthermore the method can be used to obtain all strongest extended cover inequalities of a knapsack inequality.

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Language(s): eng - English
 Dates: 2010-03-121993
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519531
Other: Local-ID: C1256104005ECAFC-644948B4182BCEE6C125614400620397-Barth93b
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Title: Untitled Event
Place of Event: St. Petersburg, Russia
Start-/End Date: 1993

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Title: Proceedings~4th International~Conference on Logic Programming and Automated Reasoning LPAR '93
Source Genre: Proceedings
 Creator(s):
Voronkov, A.1, Editor           
Affiliations:
1 Programming Logics, MPI for Informatics, Max Planck Society, ou_40045            
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 40 - 51 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: -