Type theories, normal forms, and D∞-lambda-models
Information and Computation
Theoretical Computer Science
An algorithm for optimal lambda calculus reduction
POPL '90 Proceedings of the 17th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
POPL '90 Proceedings of the 17th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Information and Computation
Encoding linear logic with interaction combinators
Information and Computation
Operational equivalence for interaction nets
Theoretical Computer Science - Latin American theoretical informatics
A denotational semantics for the symmetric interaction combinators
Mathematical Structures in Computer Science
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The symmetric interaction combinators are a model of distributed and deterministic computation based on Lafont's interaction nets, a special form of graph rewriting. The interest of the symmetric interaction combinators lies in their universality, that is, the fact that they may encode all other interaction net systems; for instance, several implementations of the lambda-calculus in the symmetric interaction combinators exist, related to Lamping's sharing graphs for optimal reduction. A certain number of observational equivalences were introduced for this system, by Lafont, Fernandez and Mackie, and the first author. In this paper, we study the problem of full abstraction with respect to one of these equivalences, using a class of very simple denotational models based on pointed sets.