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» Lambda Types on the Lambda Calculus with Abbreviations
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LFCS
1994
Springer
14 years 19 days 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
ACL2
2006
ACM
14 years 2 months ago
Soundness of the simply typed lambda calculus in ACL2
To make it practical to mechanize proofs in programming language metatheory, several capabilities are required of the theorem proving framework. One must be able to represent and ...
Sol Swords, William R. Cook
ENTCS
2008
101views more  ENTCS 2008»
13 years 8 months ago
Normalization for the Simply-Typed Lambda-Calculus in Twelf
Normalization for the simply-typed -calculus is proven in Twelf, an implementation of the Edinburgh Logical Framework. Since due to proof-theoretical restrictions Twelf Tait'...
Andreas Abel
WOLLIC
2009
Springer
14 years 3 months ago
Recognizability in the Simply Typed Lambda-Calculus
Abstract. We define a notion of recognizable sets of simply typed λterms that extends the notion of recognizable sets of strings or trees. This definition is based on finite mo...
Sylvain Salvati
ENTCS
2007
113views more  ENTCS 2007»
13 years 8 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