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» Boolean Algebras for Lambda Calculus
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AMC
2006
125views more  AMC 2006»
13 years 11 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
LICS
2006
IEEE
14 years 5 months ago
Boolean Algebras for Lambda Calculus
In this paper we show that the Stone representation theorem for Boolean algebras can be generalized to combinatory algebras. In every combinatory algebra there is a Boolean algebr...
Giulio Manzonetto, Antonino Salibra
LOGCOM
2010
158views more  LOGCOM 2010»
13 years 9 months ago
Applying Universal Algebra to Lambda Calculus
The aim of this paper is double. From one side we survey the knowledge we have acquired these last ten years about the lattice of all λ-theories (= equational extensions of untype...
Giulio Manzonetto, Antonino Salibra
CORR
2008
Springer
172views Education» more  CORR 2008»
13 years 11 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
2002
128views more  ENTCS 2002»
13 years 11 months ago
Rewriting Calculus with(out) Types
The last few years have seen the development of a new calculus which can be considered as an outcome of the last decade of various researches on (higher order) term rewriting syst...
Horatiu Cirstea, Claude Kirchner, Luigi Liquori