Realizability models for a linear dependent PCF

Recently, Dal Lago and Gaboardi have proposed a type system, named dℓPCF as a framework for implicit computational complexity. dℓPCF is a non-standard type system for PCF programs which is relatively complete with respect to quantitative properties thanks to the use of linear types inspired by Bound...

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Bibliographic Details
Published in:Theoretical computer science Vol. 585; pp. 55 - 70
Main Authors: Brunel, Aloïs, Gaboardi, Marco
Format: Journal Article
Language:English
Published: Elsevier B.V 20.06.2015
Subjects:
Complexity
Computation
Computer simulation
Decoration
Implicit computational complexity
Mathematical models
Proving
Realizability
Realizability model
Semantics
Implicit computational complexity
Realizability model
ISSN:0304-3975, 1879-2294
Online Access:Get full text
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Summary:Recently, Dal Lago and Gaboardi have proposed a type system, named dℓPCF as a framework for implicit computational complexity. dℓPCF is a non-standard type system for PCF programs which is relatively complete with respect to quantitative properties thanks to the use of linear types inspired by Bounded linear logic and dependent types à la Dependent ML. In this work, we adapt the framework of quantitative realizability and obtain a model for dℓPCF. The quantitative realizability model aims at a better understanding of dℓPCF type decorations and at giving an abstract semantic proof of intensional soundness.
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ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2015.03.005