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Reductive Logic and Proof-search$
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David J. Pym and Eike Ritter

Print publication date: 2004

Print ISBN-13: 9780198526339

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198526339.001.0001

LAMBDA-CALCULI FOR INTUITIONISTIC AND CLASSICAL PROOFS

Chapter:
(p. 27 ) 2 LAMBDA-CALCULI FOR INTUITIONISTIC AND CLASSICAL PROOFS
Source:
Reductive Logic and Proof-search
Author(s):

David J. Pym

Eike Ritter

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198526339.003.0002

This chapter provides an explanation of natural deduction proof systems and their corresponding lambda-calculi. Beginning with the necessary basics of natural deduction systems for intuitionistic logic and the simply-typed lambda-calculus, the lambda-mu-calculus is then presented, giving both the basic definitions and essential meta-theory, before proceeding with a discussion of the addition of disjunction to lambda-mu.

Keywords:   natural deduction proof systems, lambda-calculi, intuitionistic logic, simply-typed lambda-calculus, lambda-mu-calculus

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