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Transport of finiteness structures and applications

Published online by Cambridge University Press:  05 December 2016

CHRISTINE TASSON  and
LIONEL VAUX
CHRISTINE TASSON
Affiliation:
Univ Paris Diderot, Sorbonne Paris Cité, IRIF, UMR 8243, CNRS, F-75205 Paris, France Email: christine.tasson@pps.jussieu.fr
LIONEL VAUX
Affiliation:
Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France Email: lionel.vaux@univ-amu.fr
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Abstract

We describe a general construction of finiteness spaces which subsumes the interpretations of all positive connectors of linear logic. We then show how to apply this construction to prove the existence of least fixpoints for particular functors in the category of finiteness spaces: These include the functors involved in a relational interpretation of lazy recursive algebraic datatypes along the lines of the coherence semantics of system T.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 28 , Special Issue 7: Differential Linear Logic, Nets and Other Quantitative and Parallel Approaches to Proof-Theory , August 2018 , pp. 1061 - 1096
Copyright
Copyright © Cambridge University Press 2016 

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