From the very beginning process algebra introduced the dichotomy between channels and processes. This dichotomy prevails in all present process calculi. The situation is in contrast to that withlambda calculus which has only one class of entities-the lambda terms. We introduce in this papera process calculus called Lamp in which channels are process names. The language is more uniform than existing process calculi in two aspects: First it has a unified treatment of channels and processes.There is only one class of syntactical entities-processes. Second it has a unified presentation ofboth first order and higher order process calculi. The language is functional in the sense that lambda calculus is functional. Two bisimulation equivalences, barbed and closed bisimilarities, are proved to coincide.A natural translation from Pi calculus to Lamp is shown to preserve both operational and algebraic semantics. The relationship between lazy lambda calculus and Lamp is discussed.
An algorithm for the verification of strong open bisimulation in π-calculus with mismatch was presented, which is based on the symbolic transition graph (STG). Given two processes, we can convert them into two STGs by a set of rules at first. Next, the algorithm computes a predicate equation system (PES) from the STGs. This is the key step of the whole algorithm. Finally, the PES is solved and the greatest symbolic solution is got. Correctness of the algorithm is proved and time complexity discussed. It is shown that the worst-case time complexity is exponential.
