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IANDC
2000
70views more  IANDC 2000»
14 years 8 days ago
A Uniform Procedure for Converting Matrix Proofs into Sequent-Style Systems
Abstract. We present a uniform algorithm for transforming machine-found matrix proofs in classical, constructive, and modal logics into sequent proofs. It is based on unified repre...
Christoph Kreitz, Stephan Schmitt
MLQ
2008
103views more  MLQ 2008»
14 years 12 days ago
On contraction and the modal fragment
We observe that removing contraction from a standard sequent calculus for first-order predicate logic preserves completeness for the modal fragment.
Kai Brünnler, Dieter Probst, Thomas Studer
IGPL
2008
93views more  IGPL 2008»
14 years 14 days ago
Cut-Based Abduction
In this paper we explore a generalization of traditional abduction which can simultaneously perform two different tasks: (i) given an unprovable sequent G, find a sentence H such ...
Marcello D'Agostino, Marcelo Finger, Dov M. Gabbay
CSL
2003
Springer
14 years 5 months ago
Atomic Cut Elimination for classical Logic
System SKS is a set of rules for classical propositional logic presented in the calculus of structures. Like sequent systems and unlike natural deduction systems, it has an explici...
Kai Brünnler
PADL
2004
Springer
14 years 5 months ago
Implementing Cut Elimination: A Case Study of Simulating Dependent Types in Haskell
Gentzen’s Hauptsatz – cut elimination theorem – in sequent calculi reveals a fundamental property on logic connectives in various logics such as classical logic and intuition...
Chiyan Chen, Dengping Zhu, Hongwei Xi
WOLLIC
2009
Springer
14 years 7 months ago
Deep Inference in Bi-intuitionistic Logic
Bi-intuitionistic logic is the extension of intuitionistic logic with exclusion, a connective dual to implication. Cut-elimination in biintuitionistic logic is complicated due to t...
Linda Postniece