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The Computer Journal 2005 48(2):157-167; doi:10.1093/comjnl/bxh068
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© The Author 2005. Published by Oxford University Press on behalf of The British Computer Society. All rights reserved. For Permissions, please email: journals.permissions@oupjournals.org

On the Minimality of Finite Automata and Stream X-machines for Finite Languages

Florentin Ipate *

Department of Computer Science and Mathematics, University of Pitesti, Str Targu din Vale 1, 0300 Pitesti, Romania

A cover automaton of a finite language L is a finite automaton that accepts all words in L and possibly other words that are longer than any word in L. An algorithm for constructing a minimal cover automaton of a finite language L is given in a recent paper. This paper goes a step further by proposing a procedure for constructing all minimal cover automata of a given finite language L. The concept of cover automaton is then generalized to a form of extended finite automaton, the stream X-machine, and the procedure is extended to this more general model.

Received 8 January 2004. revised 30 September 2004.

* Email: fipate{at}ifsoft.ro


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