Connection-Based Proof Construction in Non-commutative Logic
Identifieur interne : 007A83 ( Main/Exploration ); précédent : 007A82; suivant : 007A84Connection-Based Proof Construction in Non-commutative Logic
Auteurs : D. Galmiche [France] ; J. M. Notin [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Descripteurs français
- Pascal (Inist)
English descriptors
Abstract
Abstract.: We propose a connection-based characterization of the multiplicative fragment of non-commutative logic (MNL), that is a conservative extension of both commutative (MLL) and non-commutative or cyclic (MCyLL) linear logic. It is based on a characterization for MLL together with the introduction of labels and constraints from a formula polarization process. We also study a similar characterization for the intuitionistic fragment of MNL. Finally, we consider the relationships between these results and proof nets construction in MNL based on labels and constraints.
Url:
DOI: 10.1007/978-3-540-39813-4_30
Affiliations:
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Le document en format XML
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<front><div type="abstract" xml:lang="en">Abstract.: We propose a connection-based characterization of the multiplicative fragment of non-commutative logic (MNL), that is a conservative extension of both commutative (MLL) and non-commutative or cyclic (MCyLL) linear logic. It is based on a characterization for MLL together with the introduction of labels and constraints from a formula polarization process. We also study a similar characterization for the intuitionistic fragment of MNL. Finally, we consider the relationships between these results and proof nets construction in MNL based on labels and constraints.</div>
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