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  Theory path orderings

Stuber, J. (1999). Theory path orderings. In P. Narendran, & M. Rusinowitch (Eds.), Proceedings of the 10th International Conference on Rewriting Techniques and Applications (RTA-99) (pp. 148-162). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-36A3-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-36A5-1
Genre: Conference Paper

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 Creators:
Stuber, Jürgen1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We introduce the notion of a theory path ordering~(TPO), which simplifies the construction of term orderings for superposition theorem proving in algebraic theories. To achieve refutational completeness of such calculi we need total, $E$-compatible and $E$-antisymmetric simplification quasi-orderings. The construction of a TPO takes as its ingredients a status function for interpreted function symbols and a precedence that makes the interpreted function symbols minimal. The properties of the ordering then follow from related properties of the status function. Theory path orderings generalize associative path orderings.

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Language(s): eng - English
 Dates: 2010-03-121999
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519701
Other: Local-ID: C1256104005ECAFC-DAB0D3D6E1ABCF2BC125674600490862-Stuber1999RTA
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Title: Untitled Event
Place of Event: Trento, Italy
Start-/End Date: 1999

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Title: Proceedings of the 10th International Conference on Rewriting Techniques and Applications (RTA-99)
Source Genre: Proceedings
 Creator(s):
Narendran, Paliath1, Editor           
Rusinowitch, Michael, 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: 148 - 162 Identifier: -

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 1631 Sequence Number: - Start / End Page: - Identifier: -