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A logic for expressions with side-effects

Published: 25 January 1982 Publication History

Abstract

This paper presents a simple programming logic LES, which is particularly well suited for reasoning about so-called expression languages, i.e. languages that incorporate imperative features into expressions rather than distinguishing between expressions and statements. An axiomatization of a simple programming language is presented using this formalism. It is shown that this axiomatization is relatively complete, roughly in the sense of [Coo 76].

References

[1]
{Car 78} Cartwright, Robert and Derek Oppen, "The Logic of Aliasing", Department of Computer Science, Cornell University, Technical Report TR78-358, 1978.
[2]
{Con 77} Constable, Robert L., "On the Theory of Programming Logics", Proceedings of the Ninth Annual ACM Symposium on Theory of Computing, ACM, May 1977.
[3]
{Coo 76} Cook, Stephen A., "Soundness and Completeness of an Axiom System for Program Verification", Department of Computer Science, University of Toronto, Technical Report No. 95, June 1976.
[4]
{Dij 76} Dijkstra, Edsger W., A Discipline of Programming, Prentice-Hall, 1976.
[5]
{Gri 80} Gries, David and Gary Levin, "Assignment and Procedure Call Proof Rules", TOPLAS 2, Oct 1980.
[6]
{Har 79} Harel, D., First-Order Dynamic Logic, Springer Verlag, 1979.
[7]
{Hoa 69} Hoare, C.A.R, "An Axiomatic Basis for Computer Programming", CACM 12, Oct. 1969, pp. 576--580.
[8]
{Kow 77} Kowaltowski, Tomasz, "Axiomatic Approach to Side Effects and General Jumps", Acta Informatica 7, pp. 357--360, 1977.
[9]
{Pri 77} Pritchard, Paul, "Program Proving --- Expression Languages", Information Processing 77, North Holland, 1977, pp. 727--731.
[10]
{Schw 78} Schwartz, Richard L., "An Axiomatic Treatment of Asynchromous Processes in ALGOL 68", preliminary draft. More detail can be found in: Schwartz, Richard L. "An Axiomatic Semantic Definition of ALGOL 68", Computer Science Department, UCLA --- 34P214-75, University of California, Los Angeles, July 1978.

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  • (1983)Making variables abstractProceedings of the 10th ACM SIGACT-SIGPLAN symposium on Principles of programming languages10.1145/567067.567075(59-72)Online publication date: 24-Jan-1983
  1. A logic for expressions with side-effects

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    cover image ACM Conferences
    POPL '82: Proceedings of the 9th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
    January 1982
    378 pages
    ISBN:0897910656
    DOI:10.1145/582153
    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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    Publication History

    Published: 25 January 1982

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    POPL '82 Paper Acceptance Rate 38 of 121 submissions, 31%;
    Overall Acceptance Rate 804 of 4,040 submissions, 20%

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    • (1983)Making variables abstractProceedings of the 10th ACM SIGACT-SIGPLAN symposium on Principles of programming languages10.1145/567067.567075(59-72)Online publication date: 24-Jan-1983

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