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» Classical Linear Logic of Implications
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FROCOS
2000
Springer
13 years 10 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
ICFP
2010
ACM
13 years 7 months ago
Lolliproc: to concurrency from classical linear logic via curry-howard and control
While many type systems based on the intuitionistic fragment of linear logic have been proposed, applications in programming languages of the full power of linear logic--including...
Karl Mazurak, Steve Zdancewic
AML
2010
96views more  AML 2010»
13 years 7 months ago
Implicational (semilinear) logics I: a new hierarchy
In Abstract Algebraic Logic, the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this proce...
Petr Cintula, Carles Noguera
APAL
2005
97views more  APAL 2005»
13 years 6 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 ...