IMPS: An Interactive Mathematical Proof System

Abstract

imps is an Interactive Mathematical Proof System intended as a general purpose tool for formulating and applying mathematics in a familiar fashion. The logic of imps is based on a version of simple type theory with partial functions and subtypes. Mathematical specication and inference are performed relative to axiomatic theories, which can be related to one another via inclusion and theory interpretation. imps provides relatively large primitive inference steps to facilitate human control of the deductive process and human comprehension of the resulting proofs. An initial theory library containing almost a thousand repeatable proofs covers signicant portions of logic, algebra and analysis, and provides some support for modeling applications in computer science. Key Words: interactive theorem proving, automated analysis, computing with theorems, theory interpretation, higher-order logic, partial functions Supported by the MITRE-Sponsored Research program. Published i..

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oai:CiteSeerX.psu:10.1.1.37.5713Last time updated on 10/22/2014

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