Denotational testing semantics in coinductive form

Abstract

Building on recent work by Rutten on coinduction and formal power series, we define a denotational semantics for the CSP calculus and prove it fully abstract for testing equivalence. The proposed methodology allows for abstract definition of operators in terms of behavioural differential equations and for coinductive reasoning on them, additionally dispensing with continuous order-theoretic structures. © Springer-Verlag Berlin Heidelberg 2003.