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  The undecidability of the first-order theories of one step rewriting in linear canonical systems

Vorobyov, S.(1998). The undecidability of the first-order theories of one step rewriting in linear canonical systems (MPI-I-1998-2-009). Saarbrücken: Max-Planck-Institut für Informatik.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-7A84-E Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-9BA7-5
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 Creators:
Vorobyov, Sergei1, Author           
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1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: By reduction from the halting problem for Minsky's two-register machines we prove that there is no algorithm capable of deciding the EAAA-theory of one step rewriting of an arbitrary finite linear confluent finitely terminating term rewriting system (weak undecidability). We also present a fixed such system with undecidable EA...A-theory of one step rewriting (strong undecidability). This improves over all previously known results of the same kind.

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Language(s): eng - English
 Dates: 1998
 Publication Status: Issued
 Pages: 59 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: URI: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1998-2-009
Report Nr.: MPI-I-1998-2-009
BibTex Citekey: Vorobyov98-2-009
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Title: Research Report / Max-Planck-Institut für Informatik
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