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Obsessional experiments for linear logic proof-nets

Published online by Cambridge University Press:  23 December 2003

LORENZO TORTORA de FALCO
Affiliation:
Dipartimento di Filosofia Università Roma Tre, Via Ostiense 234, 00146 Roma, Italy Email: tortora@uniroma3.it
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Abstract

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We address the question of injectivity of coherent semantics of linear logic proof-nets. Starting from Girard's definition of experiment, we introduce the key-notion of ‘injective obsessional experiment’, which allows us to give a positive answer to our question for certain fragments of linear logic, and to build counter-examples to the injectivity of coherent semantics in the general case.

Type
Paper
Copyright
2003 Cambridge University Press