4.3 Article

Rational subsets of partially reversible monoids

Journal

THEORETICAL COMPUTER SCIENCE
Volume 409, Issue 3, Pages 537-548

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.tcs.2008.09.031

Keywords

Rational; Recognizable; Rewriting systems; Reversibility

Funding

  1. F.C.T. [POCTI/MAT/37670/2001]
  2. POCTI
  3. POSI
  4. national and European Community structural funds
  5. Fundação para a Ciência e a Tecnologia [POCTI/MAT/37670/2001] Funding Source: FCT

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A class of monoids that can model partial reversibility allowing simultaneously instances of two-sided reversibility, one-sided reversibility and no reversibility is considered. Some of the basic decidability problems involving their rational subsets, syntactic congruences and characterization of recognizability. are solved using purely automata-theoretic techniques, giving further insight into the structure of recognizable languages. (C) 2008 Elsevier B.V. All rights reserved.

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