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» Semantics of a Typed Algebraic Lambda-Calculus
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LICS
2006
IEEE
13 years 11 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 4 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
ICFP
1996
ACM
13 years 10 months ago
Inductive, Coinductive, and Pointed Types
An extension of the simply-typed lambda calculus is presented which contains both well-structured inductive and coinductive types, and which also identifies a class of types for w...
Brian T. Howard
FCT
2005
Springer
13 years 11 months ago
A Self-dependency Constraint in the Simply Typed Lambda Calculus
We consider terms of simply typed lambda calculus in which copy of a subterm may not be inserted to the argument of itself during the reduction. The terms form wide class which inc...
Aleksy Schubert
POPL
2004
ACM
14 years 6 months ago
Extensional normalisation and type-directed partial evaluation for typed lambda calculus with sums
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...
Vincent Balat, Roberto Di Cosmo, Marcelo P. Fiore