Ï€-calculus
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Ï€-calculus
In theoretical computer science, the -calculus (or pi-calculus) is a process calculus. The -calculus allows channel names to be communicated along the channels themselves, and in this matter, it is able to describe concurrent computations whose network configuration may change during the computation. The -calculus has few terms and is a small, yet expressive language (see ). Functional programs can be encoded into the -calculus, and the encoding emphasises the dialogue nature of computation, drawing connections with game semantics. Extensions of the -calculus, such as the spi calculus and applied , have been successful in reasoning about cryptographic protocols. Beside the original use in describing concurrent systems, the -calculus has also been used to reason through business processes,OMG Specification (2011)"Business Process Model and Notation (BPMN) Version 2.0" ''Object Management Group''. p.21 molecular biology. and autonomous agents in artificial intelligence. Inform ...
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Process Calculus
In computer science, the process calculi (or process algebras) are a diverse family of related approaches for formally modelling concurrent systems. Process calculi provide a tool for the high-level description of interactions, communications, and synchronizations between a collection of independent agents or processes. They also provide algebraic laws that allow process descriptions to be manipulated and analyzed, and permit formal reasoning about equivalences between processes (e.g., using bisimulation). Leading examples of process calculi include CSP, CCS, ACP, and LOTOS. More recent additions to the family include the π-calculus, the ambient calculus, PEPA, the fusion calculus and the join-calculus. Essential features While the variety of existing process calculi is very large (including variants that incorporate stochastic behaviour, timing information, and specializations for studying molecular interactions), there are several features that all process calculi h ...
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