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Problemy Upravleniya, 2006, Issue 4, Pages 32–35 (Mi pu357)  

This article is cited in 6 scientific papers (total in 6 papers)

Artificial intelligence

An internal model of mathematical practice for interactive systems of theorem proof construction. Part 1. General model description

T. L. Gavrilova, A. S. Kleschev
Full-text PDF (103 kB) Citations (6)
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Abstract: A model of mathematical practice is offered for developing interactive systems of correct proofs construction for mathematical statements on the basis of mathematical knowledge. This model is more adequate than mathematical logic models. The model of the mathematical practice is represented as a combination of two models. The first one is an internal model, i.e., a formal system. The second one is an external model. In the framework of the external model, a mathematician can control the process of intuitive proofs construction. Requirements to the external and internal models of the mathematical practice are formulated. A generic description of the internal model is included.
Document Type: Article
UDC: 681.3.057.51-7.311.17
Language: Russian
Citation: T. L. Gavrilova, A. S. Kleschev, “An internal model of mathematical practice for interactive systems of theorem proof construction. Part 1. General model description”, Probl. Upr., 2006, no. 4, 32–35
Citation in format AMSBIB
\Bibitem{GavKle06}
\by T.~L.~Gavrilova, A.~S.~Kleschev
\paper An internal model of mathematical practice for interactive systems of theorem proof construction. Part~1. General model description
\jour Probl. Upr.
\yr 2006
\issue 4
\pages 32--35
\mathnet{http://mi.mathnet.ru/pu357}
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  • https://www.mathnet.ru/eng/pu357
  • https://www.mathnet.ru/eng/pu/v4/p32
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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