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» Induction and Co-induction in Sequent Calculus
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AIML
2008
13 years 7 months ago
Valentini's cut-elimination for provability logic resolved
In 1983, Valentini presented a syntactic proof of cut-elimination for a sequent calculus GLSV for the provability logic GL where we have added the subscript V for "Valentini&q...
Rajeev Goré, Revantha Ramanayake
ICFP
2005
ACM
14 years 5 months ago
Translating specifications from nominal logic to CIC with the theory of contexts
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Marino Miculan, Ivan Scagnetto, Furio Honsell
LFCS
2009
Springer
14 years 2 days ago
A Clausal Approach to Proof Analysis in Second-Order Logic
This work defines an extension CERES2 of the first-order cut-elimination method CERES to the subclass of sequent calculus proofs in second-order logic using quantifier-free comp...
Stefan Hetzl, Alexander Leitsch, Daniel Weller, Br...
CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 5 months ago
Cut Elimination for a Logic with Induction and Co-induction
Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus...
Alwen Tiu, Alberto Momigliano
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin