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A semantic characterisation of the correctness of a proof net

Identifieur interne : 002032 ( Crin/Curation ); précédent : 002031; suivant : 002033

A semantic characterisation of the correctness of a proof net

Auteurs : Christian Retore

Source :

RBID : CRIN:retore97a

English descriptors

Abstract

The purpose of this note is to show that the correctness of a multiplicative proof net with mix is equivalent to its semantical correctness : a proof structure is a proof net if and only if its semantical interpretation is a clique, where one given finite coherence space interprets all the propositional variables. This is just an example of what can be done with these kinds of semantic techniques ; for more information and further results the reader is referred to Retore 94 (= INRIA RR-2430).

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CRIN:retore97a

Le document en format XML

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<div type="abstract" xml:lang="en" wicri:score="971">The purpose of this note is to show that the correctness of a multiplicative proof net with mix is equivalent to its semantical correctness : a proof structure is a proof net if and only if its semantical interpretation is a clique, where one given finite coherence space interprets all the propositional variables. This is just an example of what can be done with these kinds of semantic techniques ; for more information and further results the reader is referred to Retore 94 (= INRIA RR-2430).</div>
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<title>A semantic characterisation of the correctness of a proof net</title>
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<abstract>The purpose of this note is to show that the correctness of a multiplicative proof net with mix is equivalent to its semantical correctness : a proof structure is a proof net if and only if its semantical interpretation is a clique, where one given finite coherence space interprets all the propositional variables. This is just an example of what can be done with these kinds of semantic techniques ; for more information and further results the reader is referred to Retore 94 (= INRIA RR-2430).</abstract>
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