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A generalization of the propositional calculus for purposes of the theory of logical nets with probabilistic elements. (English) Zbl 0273.02008
MSC:
94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)
03B05 Classical propositional logic
68Q45 Formal languages and automata
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References:
[1] T. L. Booth: Sequential machines and automata theory. Wiley, London 1967. · Zbl 0165.02303
[2] A. W. Burks J. B. Wright: Theory of logical nets. Proceedings of I.R.E. 41 (1953), 10, 1357-1365. · Zbl 0148.25305
[3] A. Grzegorczyk: Outline of mathematical logic. (in Polish). 2nd, PWN, Warszawa 1969. · Zbl 0246.02001
[4] R. Knast: On some possibility of the structural synthesis of a probabilistic automaton. (in Polish). Prace Komisji budowy maszyn i elektrotechniki, torn 1.5, Poznań 1967.
[5] N. E. Kobrinskij B. A. Trachtenbrot: Introduction to the theory of finite automata. North Holland, Amsterdam 1965. · Zbl 0128.01401
[6] V. I. Levin: Probabilistic analysis of unreliable automata. (in Russian). Zinatne, Riga 1969.
[7] D. A. Pospelov: Probabilistic automata. (in Russian). Energiya, Moskva 1970.
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[9] T. Havránek: On a probabilistic extension of propositional calculus. (in Czech). Acta universitatis Carolinae, ser. Logica 1 · Zbl 0553.62055
[10] T. Havránek: A probabilistic extension of propositional calculus for purposes of structural theory of stochastical automata. (in Czech). Theses on the Department of Mathematical Statistic, Charles University, Prague 1972.
[11] T. Havránek: The computation of characteristic vectors of LP-expressions. To appear in Kybernetika. · Zbl 0216.24103
[12] T. Havránek: The application of logical-probabilistic expressions to the realization of stochastical automata. To appear in Kybernetika. · Zbl 0216.24103
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