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  The Decidability of Simultaneous Rigid E-Unification with One Variable

Degtyarev, A., Gurevich, Y., Narendran, P., Veanes, M., & Voronkov, A. (1998). The Decidability of Simultaneous Rigid E-Unification with One Variable. In T. Nipkow (Ed.), Proceedings of the 9th International Conference on Rewriting Techniques and Applications (RTA-98) (pp. 181-195). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-389C-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-389E-7
Genre: Conference Paper

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 Creators:
Degtyarev, Anatoli, Author
Gurevich, Yuri, Author
Narendran, Paliath1, Author           
Veanes, Margus1, Author           
Voronkov, Andrei1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We show that simultaneous rigid $E$-unification, or SREU for short, is decidable and in fact EXPTIME-complete in the case of one variable. This result implies that the $\forall^*\exists\forall^*$ fragment of intuitionistic logic with equality is decidable. Together with a previous result regarding the undecidability of the $\exists\exists$-fragment, we obtain {\em a complete classification of decidability of the prenex fragment of intuitionistic logic with equality, in terms of the quantifier prefix.} It is also proved that SREU with one variable and a constant bound on the number of rigid equations is P-complete.

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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: 519651
Other: Local-ID: C1256104005ECAFC-76F0549A315AA3A2C12565DF00480771-DGNVV98a
 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: 181 - 195 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: -