Execution Time of lambda-Terms via Denotational Semantics and Intersection Types
Logic in Computer Science
2009-05-27 v1 Computational Complexity
Abstract
The multiset based relational model of linear logic induces a semantics of the type free lambda-calculus, which corresponds to a non-idempotent intersection type system, System R. We prove that, in System R, the size of the type derivations and the size of the types are closely related to the execution time of lambda-terms in a particular environment machine, Krivine's machine.
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Cite
@article{arxiv.0905.4251,
title = {Execution Time of lambda-Terms via Denotational Semantics and Intersection Types},
author = {Daniel de Carvalho},
journal= {arXiv preprint arXiv:0905.4251},
year = {2009}
}
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36 pages