file.pdf (627.31 kB)
Download file

Theorem proving via uniform proofs

Download (627.31 kB)
journal contribution
posted on 01.01.1993, 00:00 authored by Alberto Momigliano
Abstract: "Uniform proofs systems have recently been proposed [Mil91] as a proof-theoretic foundation and generalization of logic programming. In [Mom92a] an extension with constructive negation is presented preserving the nature of abstract logic programming language. Here we adapt this approach to provide a complete theorem proving technique for minimal, intuitionistic and classical logic, which is totally goal- oriented and does not require any form of ancestry resolution. The key idea is to use the Gödel-Gentzen translation to embed those logics in the syntax of Hereditary Harrop formulae, for which uniform proofs are complete. We discuss some preliminary implementation issues."

History

Publisher Statement

All Rights Reserved

Date

01/01/1993

Usage metrics

Categories

Exports