Abstract
We provide both modal- and relational characterisations of may- and must-testing preorders for recursive CSP processes with divergence, featuring probabilistic as well as nondeterministic choice. May testing is characterised in terms of simulation, and must testing in terms of failure simulation. To this end we develop weak transitions between probabilistic processes, elaborate their topological properties, and express divergence in terms of partial distributions.
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References
Deng, Y., van Glabbeek, R.J., Hennessy, M., Morgan, C.C.: Characterising testing preorders for finite probabilistic processes. Logical Methods in Computer Science 4(4:4) (2008)
Deng, Y., van Glabbeek, R.J., Hennessy, M., Morgan, C.C.: Testing finitary probabilistic processes. Full version of this extended abstract (2009), http://www.cse.unsw.edu.au/~rvg/pub/finitary.pdf
Deng, Y., van Glabbeek, R.J., Hennessy, M., Morgan, C.C., Zhang, C.: Remarks on testing probabilistic processes. ENTCS 172, 359–397 (2007)
Deng, Y., van Glabbeek, R.J., Morgan, C.C., Zhang, C.: Scalar outcomes suffice for finitary probabilistic testing. In: De Nicola, R. (ed.) ESOP 2007. LNCS, vol. 4421, pp. 363–378. Springer, Heidelberg (2007)
De Nicola, R., Hennessy, M.: Testing equivalences for processes. Theoretical Computer Science 34, 83–133 (1984)
Desharnais, J., Gupta, V., Jagadeesan, R., Panagaden, P.: Weak bisimulation is sound and complete for PCTL*. In: Brim, L., Jančar, P., Křetínský, M., Kucera, A. (eds.) CONCUR 2002. LNCS, vol. 2421, pp. 355–370. Springer, Heidelberg (2002)
Hoare, C.A.R.: Communicating Sequential Processes. Prentice-Hall, Englewood Cliffs (1985)
Jones, C.: Probabilistic Non-determinism. Ph.D. Thesis, University of Edinburgh (1990)
Lipschutz, S.: Schaum’s outline of theory and problems of general topology. McGraw-Hill, New York (1965)
Lynch, N., Segala, R., Vaandrager, F.W.: Observing branching structure through probabilistic contexts. SIAM Journal on Computing 37(4), 977–1013 (2007)
McIver, A.K., Morgan, C.C.: Abstraction, Refinement and Proof for Probabilistic Systems. Springer, Heidelberg (2005)
Milner, R.: Communication and Concurrency. Prentice-Hall, Englewood Cliffs (1989)
Puterman, M.: Markov Decision Processes. Wiley, Chichester (1994)
Segala, R.: Testing probabilistic automata. In: Sassone, V., Montanari, U. (eds.) CONCUR 1996. LNCS, vol. 1119, pp. 299–314. Springer, Heidelberg (1996)
Yi, W., Larsen, K.G.: Testing probabilistic and nondeterministic processes. In: Proc. PSTV 1992. IFIP Transactions C-8, pp. 47–61. North-Holland, Amsterdam (1992)
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Deng, Y., van Glabbeek, R., Hennessy, M., Morgan, C. (2009). Testing Finitary Probabilistic Processes. In: Bravetti, M., Zavattaro, G. (eds) CONCUR 2009 - Concurrency Theory. CONCUR 2009. Lecture Notes in Computer Science, vol 5710. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04081-8_19
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DOI: https://doi.org/10.1007/978-3-642-04081-8_19
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