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A Proof System for Communicating Sequential Processes

Authors:

Krzysztof R. Apt,

Nissim Francez, and

Willem P. de RoeverAuthors Info & Claims

ACM Transactions on Programming Languages and Systems (TOPLAS), Volume 2, Issue 3

Pages 359 - 385

https://doi.org/10.1145/357103.357110

Published: 01 July 1980 Publication History

Abstract

An axiomatic proof system is presented for proving partial correctness and absence of deadlock (and failure) of communicating sequential processes. The key (meta) rule introduces cooperation between proofs, a new concept needed to deal with proofs about synchronization by message passing. CSP's new convention for distributed termination of loops is dealt with. Applications of the method involve correctness proofs for two algorithms, one for distributed partitioning of sets, the other for distributed computation of the greatest common divisor of n numbers.

References

[1]

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[2]

APT, K.R., DE ROEVER, W.P., AND FRANCEZ, N. Weakest precondition semantics for communicaring processes. To appear.

[3]

ASHCRO~r, E. Proving assertions about parallel programs. J. Comput. Syst. Sci. 10 (1975), 110- 135.

Digital Library

[4]

CHANOY, K.M., AND MISRA, J. An axiomatic proof technique for networks of communicating processes. Tech. Rep. T1~-98, Dep. of Computer Science, Univ. of Texas at Austin, 1979.

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DIJKSTRA, E.W. A correctness proof for communicating processes--A small exercise. EWD-607, Burroughs, Nuenen, The Netherlands, 1977.

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FRANCEZ, N. On achieving distributed termination. A CM Trans. Program, Lang. Syst. 2, 1 (January 1980), 42-55.

Digital Library

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FRANCEZ, N., HOARE, C.A.R., LEHMANN, D.J., AND DE ROEVER, W.P. Semantics of nondeterminism, concurrency and communication. J. Comput. Syst. Sci. 19 (1979), 290-308.

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FRANCEZ, N., AND PNUELI, A. A proof method for cyclic programs. Acta Inf. 9 (1978).

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FRANCEZ, N., AND RODEH, M. Achieving distributed termination without freezing. Rep. TR 72, IBM Israel Scientific Center, 1980.

[10]

HOARE, C.A.R. Towards a theory of parallel programming. In Operating Systems Techniques, C.A.R. Hoare and R. Perrot, Eds., Academic Press, New York, 1972.

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HOARE, C.A.R. Communicating sequential processes. Commun, ACM 21, 8 (August 1978), 666- 677.

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LEVlN, G.M. A proof technique for communicating sequential processes (with an example). Tech. Rep., Computer Science Dep., Cornell Univ., 1979. To be submitted to Acta Inf.

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OWICKI, S.S., AND GRIES, D. Verifying properties of parallel programs: An axiomatic approach. Commun. ACM 19, 5 (May 1976), 279-285.

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OWlCKI, S.S., AND GRIES, D. An axiomatic proof technique for parallel programs. L Acta Inf. 6, 1976, 319-340.

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Cited By

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Din CHähnle RHenrio LJohnsen EPun VTarifa S(2024)Locally Abstract, Globally Concrete Semantics of Concurrent Programming LanguagesACM Transactions on Programming Languages and Systems10.1145/364843946:1(1-58)Online publication date: 16-Feb-2024
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A Proof System for Communicating Sequential Processes

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Published In

cover image ACM Transactions on Programming Languages and Systems

ACM Transactions on Programming Languages and Systems Volume 2, Issue 3

July 1980

195 pages

ISSN:0164-0925

EISSN:1558-4593

DOI:10.1145/357103

Editor:
Susan L. Graham

Issue’s Table of Contents

Copyright © 1980 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Publication History

Published: 01 July 1980

Published in TOPLAS Volume 2, Issue 3

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Cited By

Rosenfeld R(2024)Verificación de Programas DistribuidosRevista Abierta de Informática Aplicada10.59471/raia2023877:2(51-70)Online publication date: 12-Feb-2024
https://doi.org/10.59471/raia202387
Din CHähnle RHenrio LJohnsen EPun VTarifa S(2024)Locally Abstract, Globally Concrete Semantics of Concurrent Programming LanguagesACM Transactions on Programming Languages and Systems10.1145/364843946:1(1-58)Online publication date: 16-Feb-2024
https://dl.acm.org/doi/10.1145/3648439
Chen NZhu H(2024)A proof system of the CaIT calculusFrontiers of Computer Science: Selected Publications from Chinese Universities10.1007/s11704-022-2258-318:2Online publication date: 1-Apr-2024
https://dl.acm.org/doi/10.1007/s11704-022-2258-3
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Brieger MMitsch SPlatzer A(2023)Uniform Substitution for Dynamic Logic with Communicating Hybrid ProgramsAutomated Deduction – CADE 2910.1007/978-3-031-38499-8_6(96-115)Online publication date: 1-Jul-2023
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Antonino PGibson-Robinson TRoscoe A(2022)Approximate verification of concurrent systems using token structures and invariantsInternational Journal on Software Tools for Technology Transfer (STTT)10.1007/s10009-022-00650-624:4(613-633)Online publication date: 1-Aug-2022
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America P(2022)Issues in the design of a parallel object-oriented languageFormal Aspects of Computing10.1007/BF018872141:1(366-411)Online publication date: 2-Jan-2022
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America Pde Boer F(2022)Reasoning about dynamically evolving process structuresFormal Aspects of Computing10.1007/BF012154086:3(269-316)Online publication date: 2-Jan-2022
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Apt KOlderog E(2021)Assessing the Success and Impact of Hoare’s LogicTheories of Programming10.1145/3477355.3477359(41-76)Online publication date: 4-Oct-2021
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