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  Unification in Extensions of Shallow Equational Theories

Jacquemard, F., Meyer, C., & Weidenbach, C. (1998). Unification in Extensions of Shallow Equational Theories. In T. Nipkow (Ed.), Proceedings of the 9th International Conference on Rewriting Techniques and Applications (RTA-98) (pp. 76-90). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-38A7-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-38A9-D
Genre: Conference Paper

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 Creators:
Jacquemard, Florent1, Author           
Meyer, Christoph1, Author           
Weidenbach, Christoph1, 2, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              
2Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: We show that unification in certain extensions of shallow equational theories is decidable. Our extensions generalize the known classes of shallow or standard equational theories. In order to prove decidability of unification in the extensions, a class of Horn clause sets called sorted shallow equational theories is introduced. This class is a natural extension of tree automata with equality constraints between brother subterms as well as shallow sort theories. We show that saturation under sorted superposition is effective on sorted shallow equational theories. So called semi-linear equational theories can be effectively transformed into equivalent sorted shallow equational theories and generalize the classes of shallow and standard equational theories.

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Language(s): eng - English
 Dates: 2010-03-121998
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519867
Other: Local-ID: C1256104005ECAFC-412F50A02FE14BBAC12566F00031BBA9-JacquemardMeyerWeidenbach98
 Degree: -

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Title: Untitled Event
Place of Event: Tsukuba, Japan
Start-/End Date: 1998

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Title: Proceedings of the 9th International Conference on Rewriting Techniques and Applications (RTA-98)
Source Genre: Proceedings
 Creator(s):
Nipkow, Tobias, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 76 - 90 Identifier: ISBN: 3-540-64301-X

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 1379 Sequence Number: - Start / End Page: - Identifier: -