Squaring transducers: an efficient procedure for deciding functionality and sequentiality

We describe here a construction on transducers that give a new conceptual proof for two classical decidability results on transducers: it is decidable whether a finite transducer realizes a functional relation, and whether a finite transducer realizes a sequential relation. A better complexity follo...

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Veröffentlicht in:Theoretical computer science 2003-01, Vol.292 (1), p.45-63
Hauptverfasser: Béal, Marie-Pierre, Carton, Olivier, Prieur, Christophe, Sakarovitch, Jacques
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container_title Theoretical computer science
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creator Béal, Marie-Pierre
Carton, Olivier
Prieur, Christophe
Sakarovitch, Jacques
description We describe here a construction on transducers that give a new conceptual proof for two classical decidability results on transducers: it is decidable whether a finite transducer realizes a functional relation, and whether a finite transducer realizes a sequential relation. A better complexity follows then for the two decision procedures. e papier présente une construction sur les transducteurs qui donne une nouvelle preuve conceptuelle pour deux résultats classiques de décidabilité sur les transducteurs: on peut décider si un transducteur fini réalise une relation fonctionnelle et s'il réalise une relation séquentielle. Il en résulte un algorithme polynomial pour les deux procédures de décision.
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subjects Applied sciences
Automata. Abstract machines. Turing machines
Computer Science
Computer science
control theory
systems
Data Structures and Algorithms
Exact sciences and technology
Finite automata
Functional transducer
Sequential transducer
Theoretical computing
title Squaring transducers: an efficient procedure for deciding functionality and sequentiality
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