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» Strong normalization proofs by CPS-translations
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JSYML
2011
84views more  JSYML 2011»
13 years 4 days 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»
13 years 5 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
13 years 3 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