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| Title: | Building Theories in Nuprl |
| Authors: | Basin, David A. |
| Keywords: | computer science
technical report |
| Issue Date: | Aug-1988 |
| Publisher: | Cornell University |
| Citation: | http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR88-932 |
| 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. |
| URI: | http://hdl.handle.net/1813/6772 |
| Appears in Collections: | Computer Science Technical Reports
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