Axiomatizing weak simulation semantics over BCCSP

作者：Aceto Luca^*; de Frutos Escrig David; Gregorio Rodriguez Carlos; Ingolfsdottir Anna

来源：Theoretical Computer Science, 2014, 537: 42-71.

DOI：10.1016/j.tcs.2013.03.013

• Process algebra
• Simulation semantics
• Complete simulation semantics
• Ready simulation semantics
• Equational logic
• Equational axiomatizations
• Non-finitely based algebras

This paper is devoted to the study of the (in)equational theory of the largest (pre)congruences over the language BCCSP induced by variations on the classic simulation preorder and equivalence that abstract from internal steps in process behaviours. In particular, the article focuses on the (pre)congruences associated with the weak simulation, the weak complete simulation and the weak ready simulation preorders. We present results on the (non)existence of finite (ground-)complete (in)equational axiomatizations for each of these behavioural semantics. The axiomatization of those semantics using conditional equations is also discussed in some detail.

• 出版日期2014-6-5