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The chemical abstract machine. (English) Zbl 0747.68013
Summary: We introduce a new kind of abstract machine based on the chemical metaphor used in the \(\Gamma\) language of J.-P. Banâtre and D. Le Métayer [Sci. Comput. Program. 15(1), 55-77 (1990; Zbl 0715.68054)]. States of a machine are chemical solutions where floating molecules can interact according to reaction rules. Solutions can be stratified by encapsulating subsolutions within membranes that force reactions ot occur locally. We illustrate the use of this model by describing the operational semantics of the TCCS and CCS process calculi and of the fragment of R. Milner, J. Parrow and D. Walker’s [A calculus of mobile processes; Pt. 1, Edinburgh: Univ., Dept. of Computer Sci., (LFCS Report Ser.; ECS-LFCS-89-85)/(Internal Reg.; CSR- 302-89) (1989)]. Calculus of mobile processes used by R. Milner [Functions as processes, ICALP ’90, Lect. Notes Comput. Sci. 443, 167-180 (1990)] to encode the lambda-calculus. We also give ideas on how to extract a higher-order concurrent \(\lambda\)-calculus similar to that of G. Boudol [Towards a lambda-calculus for concurrent and communicating systems; TAPSOFT, Lect. Notes Comput. Sci. 351, 149-161 (1989)] out of the basic concepts of the chemical abstract machine.

68Q05 Models of computation (Turing machines, etc.) (MSC2010)
68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)
68Q55 Semantics in the theory of computing
Full Text: DOI
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