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CORR
2008
Springer
106views Education» more  CORR 2008»
13 years 7 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
14 years 1 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
14 years 1 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 9 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
14 years 2 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