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TCS
2011
12 years 11 months ago
Strong normalization from an unusual point of view
A new complete characterization of β-strong normalization is given, both in the classical and in the lazy λ-calculus, through the notion of potential valuability inside two suit...
Luca Paolini, Elaine Pimentel, Simona Ronchi Della...
AML
2002
112views more  AML 2002»
13 years 4 months ago
Strong normalization of a symmetric lambda calculus for second-order classical logic
Abstract We extend Barbanera and Berardi's symmetric lambda calculus [2] to second order classical propositional logic and prove its strong normalization.
Yoriyuki Yamagata
TCS
2008
13 years 4 months ago
On strong normalization and type inference in the intersection type discipline
We introduce a new unification procedure for the type inference problem in the intersection type discipline. It is well known that type inference in this case should succeed exact...
Gérard Boudol
IPL
2006
100views more  IPL 2006»
13 years 4 months ago
Strong normalization proofs by CPS-translations
In this paper, we propose a new proof method for strong normalization of calculi with control operators, and, by this method, we prove strong normalization of the system
Satoshi Ikeda, Koji Nakazawa
APAL
2008
78views more  APAL 2008»
13 years 4 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
APAL
2010
66views more  APAL 2010»
13 years 4 months ago
Strong normalization results by translation
We prove the strong normalization of full classical natural deduction (i.e. with conjunction, disjunction and permutative conversions) by using a translation into the simply typed...
René David, Karim Nour
TLCA
1993
Springer
13 years 8 months ago
The Conservation Theorem revisited
This paper describes a method of proving strong normalization based on an extension of the conservation theorem. We introduce a structural notion of reduction that we call βS, and...
Philippe de Groote
TACS
2001
Springer
13 years 9 months ago
Strong Normalization of Second Order Symmetric Lambda-mu Calculus
Parigot suggested symmetric structural reduction rules for ion to µ-abstraction in [9] to ensure unique representation of data type. We prove strong normalization of second order ...
Yoriyuki Yamagata
IFIP
2004
Springer
13 years 10 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