Binary (generalized) Post Correspondence Problem - Semantic Scholar

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Theoretical Computer Science 276 (2002) 183–204

www.elsevier.com/locate/tcs

Binary (generalized) Post Correspondence Problem Vesa Halavaa; b; ∗ , Tero Harjua , Mika Hirvensaloa; b;1 a Department

b TUCS-Turku

of Mathematics, University of Turku, FIN-20014 Turku, Finland Centre for Computer Science, Lemmink$aisenkatu 14 A, FIN-20520, Turku, Finland

Received August 2000; received in revised form December 2000; accepted February 2001 Communicated by A. Salomaa

Abstract We give a new proof for the decidability of the binary Post Correspondence Problem (PCP) originally proved in 1982 by Ehrenfeucht, Karhum8aki and Rozenberg. Our proof is complete c 2002 and somewhat shorter than the original proof although we use the same basic idea.  Elsevier Science B.V. All rights reserved. Keywords: Post Correspondence Problem; Binary Post Correspondence Problem; Generalised Post Correspondence Problem; Marked Morphisms; Decidability

1. Introduction Let A and B be two