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CADE
2004
Springer
14 years 5 months ago
Lambda Logic
Lambda logic is the union of first order logic and lambda calculus. We prove basic metatheorems for both total and partial versions of lambda logic. We use lambda logic to state a...
Michael Beeson
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
AMC
2006
125views more  AMC 2006»
13 years 4 months ago
A symbolic and algebraic computation based Lambda-Boolean reduction machine via PROLOG
This paper presents a new Lambda-Boolean reduction machine for Lambda-Boolean and Lambda-Beta Boolean reductions in the context of Lambda Calculus and introduces the role of Churc...
Seref Mirasyedioglu, Tolga Güyer
ENTCS
2002
129views more  ENTCS 2002»
13 years 4 months ago
Eliminating Proofs from Programs
This paper presents a step in the development of an operational approach to program extraction in type theory. In order to get a program from a lambda term, the logical parts need...
Femke van Raamsdonk, Paula Severi
ASIAN
2006
Springer
140views Algorithms» more  ASIAN 2006»
13 years 8 months ago
On Completeness of Logical Relations for Monadic Types
Interesting properties of programs can be expressed using contextual equivalence. The latter is difficult to prove directly, hence (pre-)logical relations are often used as a tool ...
Slawomir Lasota, David Nowak, Yu Zhang