A Computer system for axiomatic investigation

✍ Scribed by Rosalind L.R. Ibrahim

• Book ID: 104139764
• Publisher: Elsevier Science
• Year: 1981
• Weight: 1001 KB
• Volume: 15
• Category: Article
• ISSN: 0020-7373
• DOI: 10.1016/s0020-7373(81)80002-8

✦ Synopsis

This paper describes a computer system that can be used for informal axiomatic investigation of mathematics. A formal mathematics-like language is defined which enables a mathematician to write informal mathematical statements and proofs. Each step of a proof is checked for logical validity, and a user may develop and retain a system of axioms, theorems, dependencies, and proofs written in this language. The intended user initially is a college mathematics student, who would use this system to develop proof-writing skills.

Some examples of proofs are given.