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Minimisatin of multiple entry finite automata

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Combinatorial Mathematics VIII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 884))

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Abstract

A multiple entry finite automaton (mefa) can be viewed as a set of finite automata acting in parallel but in a compacted form. Mefas are defined in a similar manner to finite automata except that any state can be initial. Unlike finite automata, they cannot be minimised in a unique way. We show that the usual minimisation process applied to mefas is unnecessarily weak. We propose a more natural alternative. This solves a current problem and provides a unique (in a restricted sense) minimal structure.

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References

  1. A. Gill and L.-T. Kou Multiple entry finite automata, Journal of Computer and System Sciences, 9, (1974), 1–19.

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  2. R. Valk Minimal machines with several initial states are not unique, Information and Control 31, (1976), 193–196.

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  3. P.A.S. Veloso Networks of finite state machines. Doctoral dissertation, University of California, Berkeley, May 1975.

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  4. P.A.S. Veloso and A. Gill On mimimal finite automata with several initial states, Information and Control, submitted for publication.

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Kevin L. McAvaney

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© 1981 Springer-Verlag

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Haebich, W., Lassez, JL. (1981). Minimisatin of multiple entry finite automata. In: McAvaney, K.L. (eds) Combinatorial Mathematics VIII. Lecture Notes in Mathematics, vol 884. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091820

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  • DOI: https://doi.org/10.1007/BFb0091820

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10883-2

  • Online ISBN: 978-3-540-38792-3

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