Abstract
We investigate the conceptual link between action refinement for a process algebra which contains the TCSP-parallel composition operator and recursion on the one hand and action refinement for the Hennessy-Milner-Logic on the other. We show that the assertion p ⊨ ϕ ⇔ P[a↪Q] ⊨ ϕ[a↪Q] where ⋅[a↪Q] denotes the refinement operator both on process terms and formulas holds in the considered framework under weak and reasonable restrictions.
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L. Aceto and M. Hennessy. Adding action refinement to a finite process algebra. Lecture Notes in Computer Science, 510:506–519, 1991.
S. D. Brookes, C. A. R. Hoare, and A. W. Roscoe. A theory of communicating sequential processes. Journal of the ACM, 31(3):560–599, July 1984.
U. Goltz, R. Gorrieri, and A. Rensink. On syntactic and semantic action refinement. Lecture Notes in Computer Science, 789:385–404, 1994.
D. Kozen. Results on the propositional mu-calculus. Theoretical Computer Science, 27(3):333–354, December 1983.
M. Majster-Cederbaum and F. Salger. On syntactic action refinement and logic. Technical Report 7/99, Fakultät für Mathematik und Informatik, Universität Mannheim, D7.27, Germany, 1999.
M. Majster-Cederbaum and F. Salger. Syntactic action refinement in the modal mu-calculus and its applications to the verification of reactive systems.Technical Report (in preparation), Fakultät für Mathematik und Informatik, Universität Mannheim, D7.27, Germany, 1999.
R. Milner. A Calculus of Communicating Systems. Springer, Berlin, 1edition, 1980.
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Majster-Cederbaum, M., Salger, F. (1999). A Verification Technique Based on Syntactic Action Refinement in a TCSP-like Process Algebra and the Hennessy-Milner-Logic. In: Thiagarajan, P.S., Yap, R. (eds) Advances in Computing Science — ASIAN’99. ASIAN 1999. Lecture Notes in Computer Science, vol 1742. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46674-6_35
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DOI: https://doi.org/10.1007/3-540-46674-6_35
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