Abstract
In this paper, we study a contextual labelled transition semantics for Higher-Order process calculi. The labelled transition semantics are relatively clean and simple, and corresponding bisimulation equivalence can be easily formulated based on it. Besides we develop a novel approach to reason about behaviours of a higher-order substituted process P{Q/X}, based on which we can directly prove a very important result – factorisation theorem. To show the correspondence between our semantics and the well-established ones, we characterize our bisimulation in a version of barbed equivalence.
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