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Connection Methods in Linear Logic and Proof Nets Construction

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Marcadores Sociales
Connection Methods in Linear Logic and Proof Nets Construction
Id. 46448499
Idioma inglés
Titulo Connection Methods in Linear Logic and Proof Nets Construction
Autor(es) D. Galmiche
Localización http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.3183
Versión 1.0
Estado Final
Descripción Linear logic (LL) is the logical foundation of some type-theoretic languages and also of environments for specification and theorem proving. In this paper, we analyse the relationships between the proof net notion of LL and the connection notion used for efficient proof-search in different logics. Aiming at using proof nets as a tool for automated deduction in linear logic, we define a connection-based characterization of provability in Multiplicative Linear Logic (MLL). We show that an algorithm for proof net construction can be seen as a proof-search connection method. This central result is illustrated with a specific algorithm that is able to construct, for a provable MLL sequent, a set of connections, a proof net and a sequent proof. From these results we expect to extend to other LL fragments, we analyse what happens with the additive connectives of LL by tackling the additive fragment in a similar way.
Tipo application/postscript
Palabras clave linear logic
Tipo de recurso Texto Narrativo
Tipo de Interactividad Expositivo
Nivel de Interactividad muy bajo
Audiencia Estudiante
Profesor
Autor
Estructura Atomic
Coste no
Copyright
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Formatos application/postscript
Requerimientos técnicos Browser: Any
Relación [IsBasedOn] http://www.loria.fr/~galmiche/=papers/ConPN.ps.Z
[References] 10.1.1.25.1142
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[References] 10.1.1.37.4590
[References] 10.1.1.3.6775
Fecha de contribución 28-jul-2009
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