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Proof rules dealing with fairness

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 131))

Abstract

We provide proof rules allowing to deal with two fairness assumptions in the context of Dijkstra's do-od programs. These proof rules are obtained by considering a translated version of the original program which uses random assignment x:=? and admits only fair runs. The proof rules use infinite ordinals and deal with the original programs and not their translated versions.

The full version of this paper is available as Bericht Nr. 8104, Institut für Informatik und Praktische Mathematik, University of Kiel, March 1981, and has been submitted for publication.

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References

  1. APT, K.R. & G.D. PLOTKIN, A Cook's Tour of countable nondeterminism, Technical Report, Department of Computer Science, University of Edinburgh, 1980 (to appear in Proc. ICALP 81).

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  2. COUSOT, P., Asynchronous iterative methods for solving a fixed point system of monotone equations in a complete lattice, Rapport de Recherche No 88, L.A.7, Université Scientifique et Medicale de Grenoble, 1977.

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  3. EMERSON, E.A. & E.M. CLARKE, Characterizing correctness properties of parallel programs using fixpoints, in: Proc. ICALP 80, Lecture Notes in Computer Science 85, Springer Verlag, pp. 169–181, 1980.

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Dexter Kozen

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© 1982 Springer-Verlag Berlin Heidelberg

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Apt, K.R., Olderog, ER. (1982). Proof rules dealing with fairness. In: Kozen, D. (eds) Logics of Programs. Logic of Programs 1981. Lecture Notes in Computer Science, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0025770

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  • DOI: https://doi.org/10.1007/BFb0025770

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11212-9

  • Online ISBN: 978-3-540-39047-3

  • eBook Packages: Springer Book Archive

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