BIB-VERSION:: CS-TR-v2.0 ID:: SBCS//stark/pioa-equivalences.pdf ENTRY:: June 8, 2006 ORGANIZATION:: State University of New York at Stony Brook, Computer Science TITLE:: Probabilistic I/O Automata: Theories of Two Equivalences TYPE:: Technical Report AUTHOR:: Stark, Eugene W., Cleaveland, R., and Smolka, S. A. CONTACT:: Eugene W. Stark, Department of Computer Science, SUNY at Stony Brook, Stony Brook, NY 11794-4400 Tel: 631-632-8444 DATE:: June 8, 2006 RETRIEVAL:: HTTP from BSD7.CS.SUNYSB.EDU with the URL http://bsd7.cs.sunysb.edu/~stark/REPORTS/pioa-equivalences.abstract ABSTRACT:: Working in the context of a process-algebraic language for Probabilistic I/O Automata (PIOA), we study the notion of PIOA behavior equivalence by obtaining a complete axiomatization of its equational theory and comparing the results with a complete axiomatization of a more standard equivalence, weighted bisimulation. The axiomatization of behavior equivalence is achieved by adding to the language an operator for forming convex combinations of terms.