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On the minimal number of \(\times\) operators to model regularity in fair SCCS. (English) Zbl 0676.68036

Any \(\omega\)-regular language is a weakly, strongly or strictly fair language of some strict SCCS [R. Milner, Calculi for synchrony and asynchrony, Theor. Comput. Sci. 25, 267-310 (1983; Zbl 0512.68026)] process that consists of a parallel product of exactly two inherently sequential SCCS processes.
Reviewer: R.Janicki

MSC:

68Q45 Formal languages and automata
68Q70 Algebraic theory of languages and automata

Citations:

Zbl 0512.68026
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References:

[1] Darondeau, P., About fair asynchrony, Theoret. Comput. Sci., 37, 305-336 (1985) · Zbl 0607.68016
[2] Guessarian, I.; Niar-Dinedane, W., An automaton characterization of fairness in SCCS, (Proc. STACS 88, Lecture Notes in Computer Science, Vol. 294 (1988), Springer: Springer Berlin), 356-372 · Zbl 0644.68036
[3] Hennessy, M., Modelling Finite Delay Operators, Tech. Rept. CSR-153-83 (1983), Edinburgh
[4] Milner, R., A Finite Delay Operator in Synchronous CCS, (Rept. CSR-116-82 (1982), Edinburgh Univ)
[5] Milner, R., Calculi for synchrony and asynchrony, Theoret. Comput. Sci., 25, 267-310 (1983) · Zbl 0512.68026
[6] Muller, D. E., The general synthesis problem for asynchronous digital networks, Proc. SWAT Conf., 71-82 (1967)
[7] Priese, L.; Rehrmann, R.; Willecke-Klemme, U., An introduction to the regular theory of fairness, Theoret. Comput. Sci., 54, 139-163 (1987) · Zbl 0643.68025
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