Karim Nour - Classical Combinatory Logic

dmtcs:3469 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, DMTCS Proceedings vol. AF, Computational Logic and Applications (CLA '05) - https://doi.org/10.46298/dmtcs.3469
Classical Combinatory LogicArticle

Authors: Karim Nour 1

  • 1 Laboratoire de Mathématiques

Combinatory logic shows that bound variables can be eliminated without loss of expressiveness. It has applications both in the foundations of mathematics and in the implementation of functional programming languages. The original combinatory calculus corresponds to minimal implicative logic written in a system "à la Hilbert''. We present in this paper a combinatory logic which corresponds to propositional classical logic. This system is equivalent to the system $λ ^{Sym}_{Prop}$ of Barbanera and Berardi.

Volume: DMTCS Proceedings vol. AF, Computational Logic and Applications (CLA '05)
Section: Proceedings
Published on: January 1, 2005
Imported on: May 10, 2017
Keywords: Combinatory logic,Lambda-calculus,Propositional classical logic,[INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO],[INFO.INFO-SC] Computer Science [cs]/Symbolic Computation [cs.SC]

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