Zielonka's Theorem characterizes recognizable subsets of free partially commutative monoids in terms of asynchronous automata. Here we prove two results closely related to Zielonka's Theorem: first, we give a new representation theorem for finite monoids; next, we characterize the class of recognizable subsets of free partially commutative monoids in terms of a new model of distributed system with bounds on space and communication complexity.

Bertoni, A., Mauri, G., Pighizzini, G., Sabadini, N. (1993). Algebraic and informational aspects of Zielonka's Theorem. In C. Bonzini, A. Cherubini, C. Tibiletti (a cura di), Semigroups: Algebraic theory and applications to formal languages and codes (pp. 17-26). Singapore : World Scientific.

Algebraic and informational aspects of Zielonka's Theorem

MAURI, GIANCARLO;
1993

Abstract

Zielonka's Theorem characterizes recognizable subsets of free partially commutative monoids in terms of asynchronous automata. Here we prove two results closely related to Zielonka's Theorem: first, we give a new representation theorem for finite monoids; next, we characterize the class of recognizable subsets of free partially commutative monoids in terms of a new model of distributed system with bounds on space and communication complexity.
Capitolo o saggio
free partially commutative monoids; asynchronous automata
English
Semigroups: Algebraic theory and applications to formal languages and codes
Bonzini, C; Cherubini, A; Tibiletti, C
1993
981-02-1521-5
World Scientific
17
26
Bertoni, A., Mauri, G., Pighizzini, G., Sabadini, N. (1993). Algebraic and informational aspects of Zielonka's Theorem. In C. Bonzini, A. Cherubini, C. Tibiletti (a cura di), Semigroups: Algebraic theory and applications to formal languages and codes (pp. 17-26). Singapore : World Scientific.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/16948
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