Congruent Weak Conformance, a Partial Order among Processes
FORTE '02 Proceedings of the 22nd IFIP WG 6.1 International Conference Houston on Formal Techniques for Networked and Distributed Systems
On Finite Bases for Weak Semantics: Failures Versus Impossible Futures
SOFSEM '09 Proceedings of the 35th Conference on Current Trends in Theory and Practice of Computer Science
Undecidable equivalences for basic parallel processes
Information and Computation
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CALCO'07 Proceedings of the 2nd international conference on Algebra and coalgebra in computer science
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Two distinct models for the notion of communicating processes are introduced, developed and related. The first, called the possible-futures model, is a generalization to nondeterministic systems of the familiar derivative (Nerode equivalence class) construction. The second, called the acceptance-refusals model, is a slight strengthening of a model introduced by Hoare, Brookes, and Roscoe. The PF model can be mapped onto the AR model homomorphically, and the equivalence classes of this map can be characterized by imposing a very natural equivalence relation on the PF model. The resulting quotient algebra admits a complete partial order structure in which the algebraic operations are continuous.