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APAL
2008
78views more  APAL 2008»
13 years 11 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
14 years 2 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
14 years 4 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
IFIP
2004
Springer
14 years 4 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
14 years 4 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