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ENTCS
2011
129views more  ENTCS 2011»
13 years 23 days ago
Specifying Proof Systems in Linear Logic with Subexponentials
In the past years, linear logic has been successfully used as a general logical framework for encoding proof systems. Due to linear logic’s finer control on structural rules, i...
Vivek Nigam, Elaine Pimentel, Giselle Reis
TLCA
2009
Springer
14 years 9 days 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
CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 3 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
CSL
2010
Springer
13 years 6 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
CAV
2009
Springer
218views Hardware» more  CAV 2009»
14 years 6 months ago
Cuts from Proofs: A Complete and Practical Technique for Solving Linear Inequalities over Integers
Abstract. We propose a novel, sound, and complete Simplex-based algorithm for solving linear inequalities over integers. Our algorithm, which can be viewed as a semantic generaliza...
Isil Dillig, Thomas Dillig, Alex Aiken