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  Rigid Reachability: The Non-Symmetric Form of Rigid E-unification

Ganzinger, H., Jacquemard, F., & Veanes, M. (2000). Rigid Reachability: The Non-Symmetric Form of Rigid E-unification. International Journal of Foundations of Computer Science, 11(1), 3-27.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3465-0 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3466-E
Genre: Journal Article

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 Creators:
Ganzinger, Harald1, Author           
Jacquemard, Florent1, Author           
Veanes, Margus1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We show that rigid reachability, the non-symmetric form of rigid E-unification, is already undecidable in the case of a single constraint. From this we infer the undecidability of a new and rather restricted kind of second-order unification. We also show that certain decidable subclasses of the problem which are PTIME-complete in the equational case become EXPTIME-complete when symmetry is absent. By applying automata-theoretic methods, simultaneous monadic rigid reachability with ground rules is shown to be PSPACE-complete. Moreover, we identify two decidable non-monadic fragments that are complete for EXPTIME.

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Language(s): eng - English
 Dates: 2010-03-122000
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 519774
Other: Local-ID: C1256104005ECAFC-ED721AE17360EEF6C12569E0004C19F3-GanzingerJacquemardVeanes-00-ijfcs
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Title: International Journal of Foundations of Computer Science
Source Genre: Journal
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Pages: - Volume / Issue: 11 (1) Sequence Number: - Start / End Page: 3 - 27 Identifier: ISSN: 0129-0541