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» On Proof Nets for Multiplicative Linear Logic with Units
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ISCIS
2004
Springer
15 years 3 months ago
System BV without the Equalities for Unit
System BV is an extension of multiplicative linear logic with a non-commutative self-dual operator. In this paper we present systems equivalent to system BV where equalities for un...
Ozan Kahramanogullari
CSL
2010
Springer
14 years 11 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
CSL
2007
Springer
15 years 4 months ago
Correctness of Multiplicative (and Exponential) Proof Structures is NL -Complete
We provide a new correctness criterion for unit-free MLL proof structures and MELL proof structures with units. We prove that deciding the correctness of a MLL and of a MELL proof ...
Paulin Jacobé de Naurois, Virgile Mogbil
GRAMMARS
2000
97views more  GRAMMARS 2000»
14 years 9 months ago
Proof-Nets, Hybrid Logics and Minimalist Representations
Inthis paper, we aim at giving alogical account of the representationalist view on minimalist grammars by refering to the notion of Proof-Net in Linear Logic. We propose at the sam...
Alain Lecomte