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» On Proof Nets for Multiplicative Linear Logic with Units
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RP
2010
Springer
150views Control Systems» more  RP 2010»
13 years 4 months ago
Rewriting Systems for Reachability in Vector Addition Systems with Pairs
We adapt hypergraph rewriting system to a generalization of Vector Addition Systems with States (VASS) that we call vector addition systems with pairs (VASP). We give rewriting sys...
Paulin Jacobé de Naurois, Virgile Mogbil
CSL
2005
Springer
13 years 11 months ago
Towards a Typed Geometry of Interaction
Abstract. Girard’s Geometry of Interaction (GoI) develops a mathematical framework for modelling the dynamics of cut-elimination. We introduce a typed version of GoI, called Mult...
Esfandiar Haghverdi, Philip J. Scott
MSCS
2007
125views more  MSCS 2007»
13 years 5 months ago
On categorical models of classical logic and the Geometry of Interaction
It is well-known that weakening and contraction cause na¨ıve categorical models of the classical sequent calculus to collapse to Boolean lattices. In previous work, summarized b...
Carsten Führmann, David J. Pym
CORR
2011
Springer
194views Education» more  CORR 2011»
13 years 1 months ago
Polarized Montagovian Semantics for the Lambek-Grishin calculus
Grishin ([10]) proposed enriching the Lambek calculus with multiplicative disjunction (par) and coresiduals. Applications to linguistics were discussed by Moortgat ([15]), who spok...
Arno Bastenhof