| A finite equational base for CCS with left merge and communication merge |
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ACM Transactions on Computational Logic (TOCL)
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Volume 10 , Issue 1 (January 2009)
table of contents
Article No. 6
Year of Publication: 2009
ISSN:1529-3785
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Authors
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Luca Aceto
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Reykjavík University, Reykjavik, Iceland
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Wan Fokkink
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Vrije Universiteit Amsterdam and CWI, Amsterdam, The Netherlands
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Anna Ingolfsdottir
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Reykjavík University, Reykjavik, Iceland
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Bas Luttik
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Technische Universiteit Eindhoven and CWI, Eindhoven, The Netherlands
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| Bibliometrics |
Downloads (6 Weeks): 10, Downloads (12 Months): 65, Citation Count: 0
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ABSTRACT
Using the left merge and the communication merge from ACP, we present an equational base (i.e., a ground-complete and ω-complete set of valid equations) for the fragment of CCS without recursion, restriction and relabeling modulo (strong) bisimilarity. Our equational base is finite if the set of actions is finite.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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Aceto, L., Fokkink, W. J., Ingolfsdottir, A., and Luttik, B. 2005b. Finite equational bases in process algebra: Results and open questions. In Processes, Terms and Cycles: Steps on the Road to Infinity, A. Middeldorp, V. van Oostrom, F. van Raamsdonk, and R. C. de Vrijer, Eds. Lecture Notes in Computer Science, vol. 3838. Springer-Verlag, Berlin, Germany, 338--367.
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Bergstra, J. A. and Klop, J. W. 1984. Process algebra for synchronous communication. Inform. Control 60, 1-3, 109--137.
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Christensen, S., Hirshfeld, Y., and Moller, F. 1994. Decidable subsets of CCS. Comput. J. 37, 4, 233--242.
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de Simone, R. 1985. Higher-level synchronising devices in Meije-SCCS. Theoret. Comput. Sci. 37, 245--267.
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Milner, R. 1984. A complete inference system for a class of regular behaviours. J. Comput. Syst. Sci. 28, 3, 439--466.
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Moller, F. 1989. Axioms for concurrency. Ph.D. dissertatish. University of Edinburgh, Edinburgh, UK.
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Moller, F. 1990. The nonexistence of finite axiomatisations for CCS congruences. In Proceedings of the IEEE Symposium on Logic in Computer Science (LICS'90). IEEE Computer Society Press, Los Alamitos, CA, 142--153.
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Sewell, P. 1994. Bisimulation is not finitely (first order) equationally axiomatisable. In Proceedings of the IEEE Symposium on Logic in Computer Science (LICS'94). IEEE Computer Society Press, Los Alamitos, CA, 62--70.
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van Tilburg, P. J. A. 2007. Finite equational bases for CCS with restriction. M.S. thesis, Technische Universiteit Eindhoven.
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INDEX TERMS
Primary Classification:
D.
Software
D.3
PROGRAMMING LANGUAGES
D.3.1
Formal Definitions and Theory
Subjects:
Semantics
Additional Classification:
F.
Theory of Computation
F.1
COMPUTATION BY ABSTRACT DEVICES
F.1.2
Modes of Computation
Subjects:
Parallelism and concurrency;
Alternation and nondeterminism
F.3
LOGICS AND MEANINGS OF PROGRAMS
F.3.2
Semantics of Programming Languages
F.4
MATHEMATICAL LOGIC AND FORMAL LANGUAGES
F.4.1
Mathematical Logic
Subjects:
Proof theory
General Terms:
Languages,
Theory,
Verification
Keywords:
Bisimilarity,
CCS,
communication merge,
concurrency,
finite equational base,
handshaking,
left merge,
parallel composition,
process algebra
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