difference. Robin Milner : A Calculus of Communicating Systems, Springer Verlag, isbn. Pdisplaystyle!PPmid!P Null process edit Process calculi generally also include a null process (variously denoted as nildisplaystyle mathit nil, 0displaystyle 0, stopdisplaystyle mathit stop, displaystyle delta, or some other appropriate symbol) which has no interaction points. "Foundational Calculi for Programming Languages". For process calculi, the celebrated results are that the synchronous displaystyle pi -calculus is more expressive than its asynchronous variant, has the same expressive power as the higher-order displaystyle pi -calculus, but is less than the ambient calculus. Some process calculi also allow channels to be created during the execution of a computation. Dually, the process x(v)Qdisplaystyle x(v)cdot Q receives that message on channel xdisplaystyle mathit. It is utterly inactive and its sole purpose is to act as the inductive anchor on top of which more interesting processes can be generated. This is to be expected as process calculi are an active field of study.
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In process calculi, the sequentialisation operator is usually integrated with input or output, or both. Developing new process calculi for better modeling of computational phenomena. It is well known from other models of computation. The class of processes that Pdisplaystyle mathit P is allowed to range over as the continuation of the output operation substantially influences the properties of the calculus. The output primitive will specify the data to be sent. Similarly, if an input expects to receive data, one or more bound variables will act as place-holders to be substituted by data, when it arrives. The Book of Traces (PostScript)format requires url ( help ). It is thought by some that the compositionality offered by process -theoretic tools can help biologists to organise their knowledge more formally. "Introduction to Trace Theory". This is valuable because (1) most calculi are fairly wild in the sense that they are rather general and not much can be said about arbitrary processes; and (2) computational applications rarely exhaust the whole of a calculus.
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