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» A Lambda Calculus with Forms
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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
CADE
2004
Springer
14 years 6 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
ACSC
2004
IEEE
13 years 9 months ago
Self-Replicating Expressions in the Lambda Calculus
The study of self-replicating structures in Computer Science has been taking place for more than half a century, motivated by the desire to understand the fundamental principles a...
James Larkin, Phil Stocks
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
TCS
2008
13 years 6 months ago
The weak lambda calculus as a reasonable machine
We define a new cost model for the call-by-value lambda-calculus satisfying the invariance thesis. That is, under the proposed cost model, Turing machines and the call-by-value la...
Ugo Dal Lago, Simone Martini