Publication: Automata in semimodule categories
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Publication Date
1975
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Springer
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Abstract
From the authors' text: "In the present paper we propose the framework of semimodule categories and their subcategories as a suitable common framework for various automata and control theories, including in particular those of deterministic, stochastic, nondeterministic, partial, relational, bilinear and fuzzy sequential machines as well as switching networks. New relationships between all these classes of systems appear naturally in this common framework. In particular, a common tensor calculus is introduced.''
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Proceedings of the First International Symposium, San Francisco, Calif.,February 25-26, 1974.
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PFENDER, M., "Universelle Algebra in monoidalen Kategorien", Technische Universität Berlin, July 1973.
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MESEGUER, J.,SOLS, I., "On a Categorical Tensor Calculus for Automata", Zaragoza University, September 1973, (unpublished paper).
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DAL CIN, M., "Fuzzy-State Automata, their Stability and Fault-Tolerance". Institute Information Sciences, University of Tübingen.
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EHRIG, H., KIERMEIER, K.D., KREOWSKI, H.J., KUHNEL, W., "Systematisierung der Automaten Theorie", T.U.-Berlin, (seminar 1972–73).
MARTINEZ, P., MESEGUER, J., "Probabilistic Automata as Bilinear Automata", unpublished paper, April 1973.
MESEGUER, J., SOLS, I., "Categorical Tensor Representation of Deterministic, Relational and Probabilistic Finite Functions" (to appear in Actas de las II Jornadas Matemàticas Hispano-Lusitanas, Madrid 1973).
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POYATOS, F. "Introducción a la Teoría de Semimodulos", dissertation, University of Madrid., (1967).