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» An Introduction to the Lambda Calculus
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FOSSACS
2005
Springer
14 years 1 months ago
Mathematical Models of Computational and Combinatorial Structures
The general aim of this talk is to advocate a combinatorial perspective, together with its methods, in the investigation and study of models of computation structures. This, of cou...
Marcelo P. Fiore
LISP
2006
77views more  LISP 2006»
13 years 7 months ago
Expressing combinatory reduction systems derivations in the rewriting calculus
The last few years have seen the development of the rewriting calculus (also called rho-calculus or -calculus) that uniformly integrates first-order term rewriting and the -calculu...
Clara Bertolissi, Horatiu Cirstea, Claude Kirchner
PPDP
2005
Springer
14 years 1 months ago
A new calculus of contexts
We study contexts (terms with holes) by proposing a ‘λcalculus with holes’. It is very expressive and can encode programming constructs apparently unrelated to contexts, incl...
Murdoch Gabbay
LICS
2002
IEEE
14 years 20 days ago
Remarks on Isomorphisms in Typed Lambda Calculi with Empty and Sum Types
Tarski asked whether the arithmetic identities taught in high school are complete for showing all arithmetic equations valid for the natural numbers. The answer to this question f...
Marcelo P. Fiore, Roberto Di Cosmo, Vincent Balat
ICFP
2003
ACM
14 years 7 months ago
Mechanising Hankin and Barendregt using the Gordon-Melham axioms
I describe the mechanisation in HOL of some basic -calculus theory, using the axioms proposed by Gordon and Melham [4]. Using these as a foundation, I mechanised the proofs from C...
Michael Norrish