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LFCS
1994
Springer
13 years 8 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
CORR
2008
Springer
172views Education» more  CORR 2008»
13 years 4 months ago
Lecture notes on the lambda calculus
This is a set of lecture notes that developed out of courses on the lambda calculus that I taught at the University of Ottawa in 2001 and at Dalhousie University in 2007. Topics c...
Peter Selinger
ENTCS
2007
113views more  ENTCS 2007»
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
CTCS
1987
Springer
13 years 7 months ago
A Typed Lambda Calculus with Categorical Type Constructors
A typed lambda calculus with categorical type constructors is introduced. It has a uniform category theoretic mechanism to declare new types. Its type structure includes categoric...
Tatsuya Hagino
LPAR
2010
Springer
13 years 2 months ago
Logic and Computation in a Lambda Calculus with Intersection and Union Types
We present an explicitly typed lambda calculus "`a la Church" based on the union and intersection types discipline; this system is the counterpart of the standard type a...
Daniel J. Dougherty, Luigi Liquori