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A Formalisation of Weak Normalisation (with Respect to Permutations) of Sequent Calculus Proofs

Published online by Cambridge University Press:  01 February 2010

A.A. Adams
A.A. Adams
Affiliation:
Division of Computer Science, School of Mathematics and Computer Science, University of St Andrews, North Haugh, St Andrews KYI6 9SS, aaa@dcs.st-and.ac.uk

Abstract

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Dyckhoff and Pinto present a weakly normalising system of reductions on derivations are characterised as the fixed points of the composition of the Prawitz translations into natural deduction and back. This paper presents a formalisation of the system, including a proof of the Weak normalisation property for the formalisation. More details can be found in earlier work by the author. The formalisation has been kept as closes as possible to the original presentation to allow an evaluation of the state of proof assistance for such methods, and to ensure similarity of methods, and not merely similarly of results. The formalisation is restricted to the implicational fragment of intuitionistic logic.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 3 , 2000 , pp. 1 - 26
Copyright
Copyright © London Mathematical Society 2000

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JCM 3 Adams Appendix A

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