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On the Decidability of the Equivalence Problem for Monadic RecursivePrograms

Published online by Cambridge University Press:  15 April 2002

Vladimir A. Zakharov
Vladimir A. Zakharov*
Affiliation:
Faculty of Computational Mathematics and Cybernetics, Moscow State University, Voribyovy Gory, Moscow 119899, Russia; (zakh@cs.msu.su)
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Abstract

We present a uniform and easy-to-use technique fordeciding the equivalenceproblem for deterministic monadic linear recursive programs. The key ideais to reduce this problem to the well-known group-theoretic problems byrevealing an algebraic nature of program computations. We show thatthe equivalence problem for monadic linear recursive programs over finiteand fixed alphabets of basic functions and logical conditions is decidablein polynomial time for the semantics based on the free monoids and freecommutative monoids.

Keywords

Recursive programequivalence problemdecidabilitymonoid.

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Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 2 , March 2000 , pp. 157 - 171
Copyright
© EDP Sciences, 2000

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