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Minimal realization of machines in closed categories. (English) Zbl 0277.18003

MSC:
18B20 Categories of machines, automata
68Q45 Formal languages and automata
18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
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[1] M. A. Arbib and H. P. Zeiger, On the relevance of abstract algebra to control theory, Automatica — J. IFAC 5 (1969), 589 – 606. · Zbl 0199.49303
[2] Samuel Eilenberg and Jesse B. Wright, Automata in general algebras, Information and Control 11 (1967), 452 – 470. · Zbl 0175.27902
[3] P. Gabriel and M. Zisman, Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35, Springer-Verlag New York, Inc., New York, 1967. · Zbl 0186.56802
[4] J. A. Goguen, Realization is universal, Math. Systems Theory 6 (1972/73), 359 – 374. · Zbl 0248.18015
[5] R. E. Kalman, P. L. Falb, and M. A. Arbib, Topics in mathematical system theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1969. · Zbl 0231.49001
[6] G. M. Kelly, Monomorphisms, epimorphisms, and pull-backs, J. Austral. Math. Soc. 9 (1969), 124 – 142. · Zbl 0169.32604
[7] Saunders MacLane, Categories for the working mathematician, Springer-Verlag, New York-Berlin, 1971. Graduate Texts in Mathematics, Vol. 5. · Zbl 0232.18001
[8] A. Nerode, Linear automaton transformations, Proc. Amer. Math. Soc. 9 (1958), 541 – 544. · Zbl 0089.33403
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