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» Short proofs of strong normalization
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APAL
2008
78views more  APAL 2008»
15 years 1 months ago
Strong normalization of classical natural deduction with disjunctions
This paper proves strong normalization of classical natural deduction with disjunction and permutative conversions, by using CPS-translation and augmentations. By them, this paper...
Koji Nakazawa, Makoto Tatsuta
LFCS
1994
Springer
15 years 5 months ago
Strong Normalization in a Non-Deterministic Typed Lambda-Calculus
In a previous paper [4], we introduced a non-deterministic -calculus (-LK) whose type system corresponds exactly to Gentzen's cut-free LK [9]. This calculus, however, cannot b...
Philippe de Groote
TYPES
2004
Springer
15 years 6 months ago
Extracting a Normalization Algorithm in Isabelle/HOL
We present a formalization of a constructive proof of weak normalization for the simply-typed λ-calculus in the theorem prover Isabelle/HOL, and show how a program can be extracte...
Stefan Berghofer
144
Voted
IFIP
2004
Springer
15 years 6 months ago
The Simply-typed Pure Pattern Type System Ensures Strong Normalization
Pure Pattern Type Systems (P2 TS) combine in a unified setting the capabilities of rewriting and λ-calculus. Their type systems, adapted from Barendregt’s λ-cube, are especial...
Benjamin Wack
TLCA
2007
Springer
15 years 7 months ago
Strong Normalization and Equi-(Co)Inductive Types
e type system for the l—m˜d—E™—l™ulus enri™hed with re™urE sive —nd ™ore™ursive fun™tions over equiEindu™tive —nd E™oindu™tive types is presented in whi™h —ll wel...
Andreas Abel