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Electronic Notes in Theoretical Computer Science
Volume 135, Issue 3, 3 March 2006, Pages 3-13
Proceedings of the First International Workshop on Developments in Computational Models (DCM 2005)
 
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doi:10.1016/j.entcs.2005.09.016    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2006 Elsevier B.V. All rights reserved.

A Generalized Higher-Order Chemical Computation Model

J.-P. Banâtrea, E-mail The Corresponding Author, P. Fradetb, E-mail The Corresponding Author and Y. Radenaca, E-mail The Corresponding Author

aINRIA/IRISA, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France bINRIA Rhône-Alpes, 655 avenue de l'Europe, 38330 Montbonnot, France

Available online 23 February 2006.

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Abstract

Gamma is a programming model where computation is seen as chemical reactions between data represented as molecules floating in a chemical solution. Formally, this model is represented by the rewriting of a multiset where rewrite rules model the chemical reactions. Recently, we have proposed the γ-calculus, a higher-order extension, where the rewrite rules are first-class citizen. The work presented in this paper increases further the expressivity of the chemical model with generalized multisets: multiplicities of elements may be infinite and/or negative. Applications of these new notions are illustrated by some programming examples.

Keywords: Chemical metaphor; computation model; higher-order; multiset; infinite and negative multiplicities


Electronic Notes in Theoretical Computer Science
Volume 135, Issue 3, 3 March 2006, Pages 3-13
Proceedings of the First International Workshop on Developments in Computational Models (DCM 2005)
 
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