Building Theories In Nuprl

Building Theories In Nuprl (1988)

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by David A. Basin

Venue:	Logic at Botik 89, number 363 in Lecture Notes in Computer Science
Citations:	3 - 1 self

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Datum	Value	Source
TITLE	Building Theories In Nuprl	user correction - Legacy Corrections
AUTHOR NAME	David A. Basin	SVM HeaderParse 0.1
AUTHOR AFFIL	Department of Computer Science,; Cornell University, Ithaca	SVM HeaderParse 0.2
AUTHOR ADDR	NY 14853	SVM HeaderParse 0.1
ABSTRACT	This paper provides an account of how mathematical knowledge is represented, reasoned about, and used computationally in a mechanized constructive theorem proving environment. We accomplish this by presenting a particular theory developed in the Nuprl proof development system: finite set theory culminating in Ramsey's theorem. We believe that this development is interesting as a case study in the relationship between constructive mathematics and computer science. Moreover, the aspects we emphasize --- the high-level development of definitions and lemmas, the use of tactics to automate reasoning, and the use of type theory as a programming logic --- are not restricted in relevance to this particular theory, and indicate the promise of our approach for other branches of constructive mathematics. 1 Introduction This paper describes our ongoing research in theory development in the Nuprl proof development system. Nuprl supports the interactive creation of definitions, formulas, proofs, an...	user correction - Legacy Corrections
YEAR	1988	INFERENCE
VENUE	Logic at Botik 89, number 363 in Lecture Notes in Computer Science	INFERENCE
VENUE TYPE	TECHREPORT	INFERENCE
PAGES	12--25	INFERENCE
TECH	Technical Report 88-932	INFERENCE
CITATIONS	0 found	ParsCit 1.0