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» Linearizing Intuitionistic Implication
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CSL
2007
Springer
14 years 1 months ago
Focusing and Polarization in Intuitionistic Logic
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
Chuck Liang, Dale Miller
PPDP
2005
Springer
14 years 1 months ago
Monadic concurrent linear logic programming
Lolli is a logic programming language based on the asynchronous propositions of intuitionistic linear logic. It uses a backward chaining, backtracking operational semantics. In th...
Pablo López, Frank Pfenning, Jeff Polakow, ...
CADE
2005
Springer
14 years 7 months ago
A Focusing Inverse Method Theorem Prover for First-Order Linear Logic
We present the theory and implementation of a theorem prover for first-order intuitionistic linear logic based on the inverse method. The central proof-theoretic insights underlyin...
Kaustuv Chaudhuri, Frank Pfenning
ENTCS
2006
141views more  ENTCS 2006»
13 years 7 months ago
A Concurrent Model for Linear Logic
We build a realizability model for linear logic using a name-passing process calculus. The construction is based on testing semantics for processes, drawing ideas from spatial and...
Emmanuel Beffara
JAR
2010
123views more  JAR 2010»
13 years 6 months ago
A Framework for Proof Systems
Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...
Vivek Nigam, Dale Miller