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» On Proof Nets for Multiplicative Linear Logic with Units
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APAL
2005
97views more  APAL 2005»
14 years 9 months ago
Polarized and focalized linear and classical proofs
We give the precise correspondence between polarized linear logic and polarized classical logic. The properties of focalization and reversion of linear proofs are at the heart of ...
Olivier Laurent, Myriam Quatrini, Lorenzo Tortora ...
LICS
1999
IEEE
15 years 2 months ago
Full Completeness of the Multiplicative Linear Logic of Chu Spaces
We prove full completeness of multiplicative linear logic (MLL) without MIX under the Chu interpretation. In particular we show that the cut-free proofs of MLL theorems are in a n...
Harish Devarajan, Dominic J. D. Hughes, Gordon D. ...
AML
2004
96views more  AML 2004»
14 years 9 months ago
Analytic Calculi for Product Logics
Abstract. Product logic is an important t-norm based fuzzy logic with conjunction interpreted as multiplication on the real unit interval [0, 1], while Cancellative hoop logic CHL ...
George Metcalfe, Nicola Olivetti, Dov M. Gabbay
CSL
2004
Springer
15 years 3 months ago
Structures for Multiplicative Cyclic Linear Logic: Deepness vs Cyclicity
The aim of this work is to give an alternative presentation for the multiplicative fragment of Yetter’s cyclic linear logic. The new presentation is inspired by the calculus of s...
Pietro Di Gianantonio
LICS
1994
IEEE
15 years 2 months ago
A Multiple-Conclusion Meta-Logic
The theory of cut-free sequent proofs has been used to motivate and justify the design of a number of logic programming languages. Two such languages, Prolog and its linear logic ...
Dale Miller