First Steps in the Construction of the Geometric Machine Model

R.H.S. REISER, A.C.R. COSTA, G.P. DIMURO

Abstract


This work introduces the Geometric Machine (GM) – a computational model for the construction and representation of concurrent and non-deterministic processes, preformed in a synchronized way, with infinite memory whose positions are labelled by the points of a geometric space. The ordered structure of the GM model is based on Girard’s Coherence Spaces. Starting with a coherence space of elementary processes, the inductive domain-theoretic structure of this model is step-wise and systematically constructed and the procedure completion ensures the existence of temporally and spatially infinite computations. A particular aim of our work is to apply this coherence-space-based interpretation to the semantic modelling parallelism and distributed computation over array structures.

References


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R.H.S. Reiser, “The Geometric Machine - a Computational Model for Con- currence and Non-determinism Based on Coherence Spaces”, Ph.D. Thesis (in portuguese), PPGC, UFRGS, Porto Alegre, RS, Brazil, 2002. (avaliable in http://gmc.ucpel.tche.br/imqd)

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DOI: https://doi.org/10.5540/tema.2002.03.01.0183

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Trends in Computational and Applied Mathematics

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