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About fair asynchrony. (English) Zbl 0607.68016
This paper examines the joint influence of fairness and asynchrony on the semantic modelling of a CCS-like language. Fairness is the guarantee for every agent engaged in a computation to communicate with the other asynchronous agents if such communications are infinitely often possible. Programs are compared according to an implementation preorder which reflects the inclusion of observable properties: whenever, for every context \({\mathcal C}\) and for every program r, no computation of r experimenting upon \({\mathcal C}(p)\) allows to recognize p versus q, p is considered less than q. A fully abstract model of the preorder is constructed in a domain of infinitary languages, preferred here to classical algebraic domains. The restriction to bounded parallelism is analysed. In that simplified framework, the model turns effective and, moreover, decidable.

MSC:
68N25 Theory of operating systems
68Q65 Abstract data types; algebraic specification
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[1] Ben-Ari, M.; Manna, Z.; Pnueli, A., The temporal logic of branching time, (), 164-176
[2] Brookes, S.D.; Hoare, C.A.R.; Roscoe, A.W., A theory of communicating sequential processes, J. assoc. comput. Mach., 31, 560-599, (1984) · Zbl 0628.68025
[3] Costa, G.; Stirling, C., A fair calculus of communicating systems, Acta inform., 21, 417-441, (1984) · Zbl 0538.68014
[4] Darondeau, Ph., Quelques problémes relatifs à la composition paralléle, (), 127-138
[5] Darondeau, Ph., An enlarged definition and complete axiomatization of observational congruence of finite processes, (), 47-62 · Zbl 0482.68025
[6] Darondeau, Ph.; Kott, L., On the observational semantics of fair parallelism, (), 147-159 · Zbl 0518.68014
[7] Darondeau, Ph.; Kott, L., On the observational semantics of fair parallelism, INRIA rept. no. 262, (1983) · Zbl 0518.68014
[8] Darondeau, Ph.; Kott, L., A formal proof system for infinitary rational expressions, INRIA rept. no. 218, (1983) · Zbl 0575.68083
[9] Darondeau, Ph.; Kott, L., Towards a formal proof system for w = rational expressions, Inform. process. lett., 19, 173-177, (1984) · Zbl 0575.68082
[10] Eilenberg, S., ()
[11] Guessarian, I., Algebraic semantics, () · Zbl 0602.68017
[12] Gabbay, D.; Pnueli, A.; Shelah, S.; Stavi, J., On the temporal analysis of fairness, (), 163-173
[13] Hennessy, M.C.B.; Milner, R., On observing nondeterminism and concurrency, (), 299-309
[14] Hennesy, M.C.B., Synchronous and asynchronous experiments on processes, Inform. and control, 59, 36-83, (1983) · Zbl 0544.68028
[15] Hennessy, M.C.B., Modelling finite delay operators, ()
[16] Hennessy, M.C.B., An algebraic theory of fair asynchronous communicating processes, () · Zbl 0437.68002
[17] Jorrand, Ph., Specification of communicating processes and process implementation correctness, (), 242-256
[18] Milner, R., Fully abstract models of typed lambda-calculi, Theoret. comput. sci., 4, 1-23, (1977) · Zbl 0386.03006
[19] Milner, R., Flowgraphs and flow algebras, J. assoc. comput. Mach., 26, 794-818, (1979) · Zbl 0421.68025
[20] Milner, R., A calculus of communicating systems, () · Zbl 0452.68027
[21] Milner, R., Calculi for synchrony and asynchrony, Theoret. comput. sci., 25, 267-310, (1983) · Zbl 0512.68026
[22] Park, D., On the semantics of fair parallelism, (), 504-526
[23] Parrow, J.; Gustavsson, R., Modelling distributed systems in an extension of C.C.S. with infinite experiments and temporal logics, ()
[24] Plotkin, G., A structural approach to operational semantics, () · Zbl 1082.68062
[25] Stoy, J.E., Denotational semantics, (1977), M.I.T. Press Cambridge, MA · Zbl 0468.68013
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