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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.), Logic Programming and Automated Reasoning (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/21.11116/0000-000D-FAF7-3
Genre: Conference Paper

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https://rdcu.be/dr7hr (Publisher version)
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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: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519531
DOI: 10.1007/3-540-56944-8_40
Other: Local-ID: C1256104005ECAFC-644948B4182BCEE6C125614400620397-Barth93b
 Degree: -

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Title: 4th International Conference on Logic Programming and Automated Reasoning
Place of Event: St. Petersburg, Russia
Start-/End Date: 1993-07-13 - 1993-07-20

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Source 1

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Title: Logic Programming and Automated Reasoning
  Abbreviation : LPAR 1993
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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Publ. Info: -
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -