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Abstract: ALF [AGNvS94] is a structure editor for one of Martin-Löf's monomorphic type theories. It has been designed as an interactive environment for theorem proving and program development. Formulation of Natural Deduction via the Curry-Howard Isomorphism is a simple matter, and meta-theoretic proofs about Natural Deduction (e.g. normalisation proofs) are also straightforward. Adapting ALF's nomenclature to handle Sequent Calculus systems with proof terms is, however, a non-trivial exercise. If not... (Update)
Context of citations to this paper: More
...by the EU(BRA 7232, working group GENTZEN ) and the UK s EPSRC. First, the suitability of various logical frameworks (ALF [AGNvS94, Ada95b] SEQUEL [Tar93, Ada95a] and Isabelle [Pau94, Ada96a] was investigated, but none of these were found to have the ease of use wanted for...
Cited by: More
Machine-Assisted Meta-Theory of Sequent-Style Calculi in Coq - Adams (Correct)
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0.7: Unknown - Frameworks For (Correct)
0.2: Meta-theory in the Higher-Order Logic Framework Isabelle - Adams (1996) (Correct)
0.1: Proof Search Issues In Some Non-Classical Logics - Howe (1998) (Correct)
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BibTeX entry: (Update)
A. A. Adams. ALF as a Tool for Proving Properties of Sequent-Calculus Systems. Unpublished Research Report, 1995. http://citeseer.ist.psu.edu/adams95alf.html More
@misc{ adams95alf,
author = "A. Adams",
title = "{ALF} as a Tool for Proving Properties of Sequent-Calculus Systems",
note = "Unpublished Research Report",
year = "1995",
url = "citeseer.ist.psu.edu/adams95alf.html" }
Citations (may not include all citations):146 Investigations into logical deduction (context) - Gentzen
32 A user's guide to ALF - Altenkirch, Gaspes et al. - 1994
20 Studies in Logic and the Foundations of Mathematics (context) - Szabo, Collected et al. - 1969
18 calculus structure isomorphic to sequent calculus structure (context) - Herbelin - 1994
11 A permutation-free sequent calculus for intuitionistic logic - Dyckhoff, Pinto - 1995
2 the relation between intuitionistic and classical arithmetic (context) - Gentzen
Documents on the same site (http://www-theory.dcs.st-and.ac.uk/publications/rd/): More
A Permutation-free Calculus for Lax Logic - Howe (1998) (Correct)
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