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Multi-focused cut elimination

Published online by Cambridge University Press:  02 March 2017

TAUS BROCK-NANNESTAD Open the ORCID record for TAUS BROCK-NANNESTAD [Opens in a new window]  and
NICOLAS GUENOT
TAUS BROCK-NANNESTAD
Affiliation:
INRIA Saclay, École Polytechnique, Route de Saclay, 91128 Palaiseau, France Email: taus.brock-nannestad@inria.fr
NICOLAS GUENOT
Affiliation:
IT Universitetet i København, Rued Langgaards Vej 7, 2300 København, Denmark Email: ngue@itu.dk
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Abstract

We investigate cut elimination in multi-focused sequent calculi and the impact on the cut elimination proof of design choices in such calculi. The particular design we advocate is illustrated by a multi-focused calculus for full linear logic using an explicitly polarised syntax and incremental focus handling, for which we provide a syntactic cut elimination procedure. We discuss the effect of cut elimination on the structure of proofs, leading to a conceptually simple proof exploiting the strong structure of multi-focused proofs.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 28 , Special Issue 5: Linearity 2014 , May 2018 , pp. 614 - 650
Copyright
Copyright © Cambridge University Press 2017 

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