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ENTCS
2007
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13 years 4 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
APLAS
2007
ACM
13 years 8 months ago
Mixed Inductive/Coinductive Types and Strong Normalization
Abstract. We introduce the concept of guarded saturated sets, saturated sets of strongly normalizing terms closed under folding of corecursive functions. Using this tool, we can mo...
Andreas Abel
TLCA
2001
Springer
13 years 9 months ago
Strong Normalization of Classical Natural Deduction with Disjunction
We introduce λµ→∧∨⊥ , an extension of Parigot’s λµ-calculus where disjunction is taken as a primitive. The associated reduction relation, which includes the permutati...
Philippe de Groote
RTA
2007
Springer
13 years 10 months ago
Simple Proofs of Characterizing Strong Normalization for Explicit Substitution Calculi
We present a method of lifting to explicit substitution calculi some characterizations of the strongly normalizing terms of λ-calculus by means of intersection type systems. The m...
Kentaro Kikuchi
LICS
2007
IEEE
13 years 10 months ago
Strong Normalization as Safe Interaction
When enriching the λ-calculus with rewriting, union types may be needed to type all strongly normalizing terms. However, with rewriting, the elimination rule (∨ E) of union typ...
Colin Riba