Abstract
We provide a finite basis for the (in)equational theory of the process algebra BCCS modulo the weak failures preorder and equivalence. We also give positive and negative results regarding the axiomatizability of BCCS modulo weak impossible futures semantics.
Keywords
- Normal Form
- Equational Theory
- Process Algebra
- Finite Basis
- Closed Substitution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This work is partially supported by the Dutch Bsik project BRICKS.
This is a preview of subscription content, access via your institution.
Buying options
Preview
Unable to display preview. Download preview PDF.
References
Aceto, L., Fokkink, W.J., van Glabbeek, R.J., Ingólfsdóttir, A.: Nested semantics over finite trees are equationally hard. Information and Computation 191(2), 203–232 (2004)
Aceto, L., Fokkink, W.J., Ingólfsdóttir, A.: Ready to preorder: Get your BCCSP axiomatization for free! In: Mossakowski, T., Montanari, U., Haveraaen, M. (eds.) CALCO 2007. LNCS, vol. 4624, pp. 65–79. Springer, Heidelberg (2007)
Brookes, S.D., Hoare, C.A.R., Roscoe, A.W.: A theory of communicating sequential processes. Journal of the ACM 31(3), 560–599 (1984)
Chen, T., Fokkink, W.J.: On the axiomatizability of impossible futures: Preorder versus equivalence. In: Proc. LICS 2008, pp. 156–165. IEEE, Los Alamitos (2008)
Chen, T., Fokkink, W.J., van Glabbeek, R.J.: On finite bases for weak semantics: Failures versus Impossible futures (2008), http://arxiv.org/abs/0810.4904
Chen, T., Fokkink, W.J., van Glabbeek, R.J.: Ready to preorder: The case of weak process semantics. Information Processing Letters (to appear, 2008), http://www.cwi.nl/~chen/Papers/equational.pdf
Chen, T., Fokkink, W.J., Luttik, B., Nain, S.: On finite alphabets and infinite bases. Information and Computation 206(5), 492–519 (2008)
De Nicola, R., Hennessy, M.: Testing equivalences for processes. Theoretical Computer Science 34, 83–133 (1984)
Fokkink, W.J., Nain, S.: A finite basis for failure semantics. In: Caires, L., Italiano, G.F., Monteiro, L., Palamidessi, C., Yung, M. (eds.) ICALP 2005. LNCS, vol. 3580, pp. 755–765. Springer, Heidelberg (2005)
de Frutos-Escrig, D., Gregorio-Rodriguez, C., Palomino, M.: Ready to preorder: an algebraic and general proof. Journal of Logic and Algebraic Programming (to appear, 2008), http://maude.sip.ucm.es/~miguelpt/
van Glabbeek, R.J.: A complete axiomatization for branching bisimulation congruence of finite-state behaviours. In: Borzyszkowski, A.M., Sokolowski, S. (eds.) MFCS 1993. LNCS, vol. 711, pp. 473–484. Springer, Heidelberg (1993)
van Glabbeek, R.J.: The linear time – branching time spectrum II. The semantics of sequential systems with silent moves. In: Best, E. (ed.) CONCUR 1993. LNCS, vol. 715, pp. 66–81. Springer, Heidelberg (1993)
van Glabbeek, R.J.: Notes on the methodology of CCS and CSP. Theoretical Computer Science 177(2), 329–349 (1997)
van Glabbeek, R.J.: The linear time – branching time spectrum I. The semantics of concrete, sequential processes. In: Handbook of Process Algebra, pp. 3–99. Elsevier, Amsterdam (2001)
van Glabbeek, R.J., Voorhoeve, M.: Liveness, fairness and impossible futures. In: Baier, C., Hermanns, H. (eds.) CONCUR 2006. LNCS, vol. 4137, pp. 126–141. Springer, Heidelberg (2006)
Groote, J.F.: A new strategy for proving ω-completeness with applications in process algebra. In: Baeten, J.C.M., Klop, J.W. (eds.) CONCUR 1990. LNCS, vol. 458, pp. 314–331. Springer, Heidelberg (1990)
Hennessy, M.: Algebraic Theory of Processes. MIT Press, Cambridge (1988)
Milner, R.: A complete axiomatisation for observational congruence of finite-state behaviours. Information and Computation 81, 227–247 (1989)
Rensink, A., Vogler, W.: Fair testing. Information and Computation 205(2), 125–198 (2007)
Rounds, W.C., Brookes, S.D.: Possible futures, acceptances, refusals and communicating processes. In: Proc. FOCS 1981, pp. 140–149. IEEE, Los Alamitos (1981)
Vogler, W.: Modular Construction and Partial Order Semantics of Petri Nets. LNCS, vol. 625. Springer, Heidelberg (1992)
Voorhoeve, M., Mauw, S.: Impossible futures and determinism. In: Information Processing Letters, pp. 51–58 (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, T., Fokkink, W., van Glabbeek, R. (2009). On Finite Bases for Weak Semantics: Failures Versus Impossible Futures. In: Nielsen, M., Kučera, A., Miltersen, P.B., Palamidessi, C., Tůma, P., Valencia, F. (eds) SOFSEM 2009: Theory and Practice of Computer Science. SOFSEM 2009. Lecture Notes in Computer Science, vol 5404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-95891-8_18
Download citation
DOI: https://doi.org/10.1007/978-3-540-95891-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-95890-1
Online ISBN: 978-3-540-95891-8
eBook Packages: Computer ScienceComputer Science (R0)