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CORR
2008
Springer
106views Education» more  CORR 2008»
13 years 4 months ago
Topological Observations on Multiplicative Additive Linear Logic
As an attempt to uncover the topological nature of composition of strategies in game semantics, we present a "topological" game for Multiplicative Additive Linear Logic ...
André Hirschowitz, Michel Hirschowitz, Tom ...
LPAR
2007
Springer
13 years 10 months ago
Permutative Additives and Exponentials
Abstract. Permutative logic (PL) is a noncommutative variant of multiplicative linear logic (MLL) arising from recent investigations concerning the topology of linear proofs. Permu...
Gabriele Pulcini
LPAR
2007
Springer
13 years 10 months ago
Retractile Proof Nets of the Purely Multiplicative and Additive Fragment of Linear Logic
Proof nets are a parallel syntax for sequential proofs of linear logic, firstly introduced by Girard in 1987. Here we present and intrinsic (geometrical) characterization of proof...
Roberto Maieli
CSL
2008
Springer
13 years 6 months ago
A Characterization of Hypercoherent Semantic Correctness in Multiplicative Additive Linear Logic
We give a graph theoretical criterion on multiplicative additive linear logic (MALL) cut-free proof structures that exactly characterizes those whose interpretation is a hypercliqu...
Paolo Tranquilli
TLCA
2009
Springer
13 years 11 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger