Writing Programs that Construct Proofs

Other Titles
Abstract
When we learn mathematics, we learn more than definitions and theorems. We learn techniques of proof. In this paper, we describe a particular way to express these techniques and incorporate them into formal theories and into computer systems used to build such theories. We illustrate the methods as they were applied in the $\lambda$-PRL system, essentially using the ML programming language from Edinburgh LCF [23] as the formalised metalanguage. We report our experience with such an approach emphasizing the ideas that go beyond the LCF work, such as transformation tactics, refinement tactics, and special purpose reasoners. We also show how the validity of tactics can be guaranteed. The introduction places the work in historical context and the conclusion briefly describes plans to carry the methods further. The majority of the paper presents the $\lambda$-PRL approach in detail.
Journal / Series
Volume & Issue
Description
Sponsorship
Date Issued
1984-10
Publisher
Cornell University
Keywords
computer science; technical report
Location
Effective Date
Expiration Date
Sector
Employer
Union
Union Local
NAICS
Number of Workers
Committee Chair
Committee Co-Chair
Committee Member
Degree Discipline
Degree Name
Degree Level
Related Version
Related DOI
Related To
Related Part
Based on Related Item
Has Other Format(s)
Part of Related Item
Related To
Related Publication(s)
Link(s) to Related Publication(s)
References
Link(s) to Reference(s)
Previously Published As
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR84-645
Government Document
ISBN
ISMN
ISSN
Other Identifiers
Rights
Rights URI
Types
technical report
Accessibility Feature
Accessibility Hazard
Accessibility Summary
Link(s) to Catalog Record