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Abstract: I will discuss the two problems of how to define identity between logics
and how to define identity between proofs. For the identity of logics, I propose
to simply use the notion of preorder equivalence. This might be considered to be
folklore, but is exactly what is needed from the viewpoint of the problem of the
identity of proofs: If the proofs are considered to be part of the logic, then preorder
equivalence becomes equivalence of categories, whose arrows are the proofs. For... (Update)
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5.1: What is a Logic, and What is a Proof? - Straßburger (2005)
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1.7: On the Axiomatisation of Boolean Categories with and without.. - Straßburger (2005)
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1.5: From Proof Nets to the Free *-Autonomous Category - Lamarche, Straßburger (2005)
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BibTeX entry: (Update)
@misc{ burger-what,
author = "Lutz Straßburger",
title = "What is a Logic, and What is a Proof?",
url = "citeseer.ist.psu.edu/742259.html" }
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Documents on the same site (http://alessio.guglielmi.name/res/cos/index.html): More
MELL in the Calculus of Structures - Straßburger (2003)
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What is a Logic, and What is a Proof? - Straßburger (2005)
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