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Efficient simulation of synchronous systems by multi-speed systems

Published online by Cambridge University Press:  15 April 2005

Tomasz Jurdziński ,
Mirosław Kutyłowski  and
Jan Zatopiański
Tomasz Jurdziński
Affiliation:
Institute of Computer Science, Wrocław University, Przesmyckiego 20, PL-51-151 Wrocław, Poland. Institute of Mathematics and Computer Science, Kassel University, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany.
Mirosław Kutyłowski
Affiliation:
Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, PL-50-370 Wrocław, Poland.
Jan Zatopiański
Affiliation:
Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, PL-50-370 Wrocław, Poland.
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Abstract

We consider systems consisting of finite automata communicating by exchanging messagesand working on the same read-only data.We investigate the situation in which the automata work with constantbut different speeds. We assume furthermore that the automata are not aware of the speeds andthey cannot measure them directly. Nevertheless, the automata have to compute a correct output. We call this model multi-speed systems of finite automata.Complexity measure that we consider here is the number of messages sent by the automata.The main result of this paper is that multi-speed systems are as powerful as synchronous systems, in whichall automata work with the same speed.

Keywords

Multi-head automatasystems of finite automatacommunication complexitymessage complexity
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 39 , Issue 2 , April 2005 , pp. 403 - 419
Copyright
© EDP Sciences, 2005

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