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» Atomic Cut Elimination for classical Logic
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CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 8 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
LICS
1995
IEEE
14 years 2 days ago
Structural Cut Elimination
We present new proofs of cut elimination for intuitionistic, classical, and linear sequent calculi. In all cases the proofs proceed by three nested structural inductions, avoiding...
Frank Pfenning
TLCA
2001
Springer
14 years 29 days ago
Strong Normalisation for a Gentzen-like Cut-Elimination Procedure
In this paper we introduce a cut-elimination procedure for classical logic, which is both strongly normalising and consisting of local proof transformations. Traditional cut-elimin...
Christian Urban
CSL
2009
Springer
14 years 3 months ago
Focalisation and Classical Realisability
We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
Guillaume Munch-Maccagnoni