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Interaction Net Implementation of Additive and Multiplicative Structures Export

Journal of Logic and Computation, Vol. 15, No. 2. (2005), pp. 219-237.

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functional-programming lambda-calculus linear-logic optimal-reduction

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Interaction nets provide a graphical paradigm of computation based on net rewriting. They have proved most successful in understanding the dynamics of reduction in the lambda-calculus, where very efficient evaluators have been obtained. Most work in this area is heavily based on the pure lambda-calculus, and a general theory of coding data structures with interaction nets has not been forthcoming. The purpose of this paper is to show how all of these systems encoding the lambda-calculus can be extended to work with different kinds of data structures, which is a first step towards using these evaluators as the basis of implementation of a richer programming language.


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