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» Strong normalization proofs by CPS-translations
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JSYML
2011
84views more  JSYML 2011»
14 years 6 months ago
On the non-confluence of cut-elimination
Abstract. Westudy cut-elimination in first-orderclassical logic. Weconstructa sequenceofpolynomiallength proofs having a non-elementary number of different cut-free normal forms....
Matthias Baaz, Stefan Hetzl
ENTCS
2007
113views more  ENTCS 2007»
14 years 11 months ago
A Formalization of Strong Normalization for Simply-Typed Lambda-Calculus and System F
We formalize in the logical framework ATS/LF a proof based on Tait’s method that establishes the simply-typed lambda-calculus being strongly normalizing. In malization, we emplo...
Kevin Donnelly, Hongwei Xi
TCS
2010
14 years 10 months ago
Strong normalization property for second order linear logic
The paper contains the first complete proof of strong normalization (SN) for full second order linear logic (LL): Girard’s original proof uses a standardization theorem which i...
Michele Pagani, Lorenzo Tortora de Falco