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  The Two-Variable Guarded Fragment with Transitive Relations

Ganzinger, H., Meyer, C., & Veanes, M. (1999). The Two-Variable Guarded Fragment with Transitive Relations. In G. Longo (Ed.), Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science (LICS-99) (pp. 24-34). Los Alamitos, USA: IEEE.

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 Creators:
Ganzinger, Harald1, Author           
Meyer, Christoph1, Author           
Veanes, Margus1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We consider the restriction of the guarded fragment to the two-variable case where, in addition, binary relations may be specified as transitive. We show that (i) this very restricted form of the guarded fragment without equality is undecidable and that (ii) when allowing transitive relations other than equality to occur only in guards, the logic becomes decidable. The latter subclass of the guarded fragment is the one that occurs naturally when translating multi-modal logics of the type K4, S4 or S5 into first-order logic. We also show that the loosely guarded fragment with a single transitive relation is undecidable.

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Language(s): eng - English
 Dates: 2010-03-121999
 Publication Status: Issued
 Pages: -
 Publishing info: Los Alamitos, USA : IEEE
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519692
Other: Local-ID: C1256104005ECAFC-03DBFC3446D59712C1256744002B93FA-GanzingerMeyerVeanes-99-lics
 Degree: -

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Title: Untitled Event
Place of Event: Trento, Italy
Start-/End Date: 2003-07-08 - 2003-07-12

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Title: Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science (LICS-99)
Source Genre: Proceedings
 Creator(s):
Longo, Giuseppe, Editor
Affiliations:
-
Publ. Info: Los Alamitos, USA : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 24 - 34 Identifier: ISBN: 0-7695-0158-3