1986Unpublished venueRequires access

Implementing Mathematics with The Nuprl Proof Development System

Robert L. Constable, Stuart F. Allen, H. M. Bromley, W. R. Cleaveland, James F. Cremer, Robert Harper, Douglas J. Howe, Todd B. Knoblock, N. P. Mendler, Prakash Panangaden, Joyce Sasaki, Scott F. Smith

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Abstract

Problem solving is a significant part of science and mathematics and is the most intellectually significant part of programming. Solving a problem involves understanding the problem, analyzing it, exploring possible solutions, writing notes about intermediate results, reading about relevant methods, checking results, and eventually assembling a solution. Nuprl is a computer system which provides assistance with this activity. It supports the interactive creation of proofs, formulas, and terms in a formal theory of mathematics

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What this paper is about

Problem solving is a significant part of science and mathematics and is the most intellectually significant part of programming. Solving a problem involves understanding the problem, analyzing it, exploring possible solutions, writing notes about intermediate results, reading about relevant methods, checking results, and eventually assembling a solution. Nuprl is a computer system which provides assistance with this activity. It supports the interactive creation of proofs, formulas, and terms in a formal theory of mathematics

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OpenAlex reports 992 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Problem solving is a significant part of science and mathematics and is the most intellectually significant part of programming. Solving a problem involves understanding the problem, analyzing it, exploring possible solutions, writing notes about intermediate results, reading about relevant methods, checking results, and eventually assembling a solution. Nuprl is a computer system which provides assistance with this activity. It supports the interactive creation of proofs, formulas, and terms in a formal theory of mathematics

Key concepts: Development (topology), Calculus (dental), Mathematics education, Computer science, Mathematics, Medicine, Mathematical analysis, Dentistry

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