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Modal logic of concurrent nondeterministic programs

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Book cover Semantics of Concurrent Computation

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 70))

Abstract

This paper describes a logic, L, for reasoning about concurrent programs. Programs are similar to those of dynamic logic, with a shuffle operator included. L is a modal logic including the modalities [], meaning "throughout the future," and +, meaning "sometime in the future." These modalities are extended by constraints, so that they can be used to express assertions such as "p holds as long as q does." Programs contain labels. Using labels, it is possible to isolate the behavior of a single process or segment of a process, while at the same time keeping the segment in the context of the whole parallel system. A certain subset of the propositional case of L is known to be decidable.

This Research was supported by the National Science Foundation under Grant No. MCS77-02474.

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Gilles Kahn

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© 1979 Springer-Verlag Berlin Heidelberg

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Abrahamson, K. (1979). Modal logic of concurrent nondeterministic programs. In: Kahn, G. (eds) Semantics of Concurrent Computation. Lecture Notes in Computer Science, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022461

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  • DOI: https://doi.org/10.1007/BFb0022461

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09511-8

  • Online ISBN: 978-3-540-35163-4

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