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A procedure to prove statements in differential geometry

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Abstract

An algorithm for theorem proving in differential geometry based on the calculation of the differential dimension of differential quasi-algebraic sets is shown. In the case in which only ordinary differential equations are involved, an algorithm for such computation is presented. Different notions of validity for differential geometry statements are also compared.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Catania, Viale A. Doria 6, 95125, Catania, Italy

    Giuseppa Carrà Ferro & Giovanni Gallo

Authors
  1. Giuseppa Carrà Ferro
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  2. Giovanni Gallo
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Additional information

This paper was supported by Italian M.P.I. (40% 1985).

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Ferro, G.C., Gallo, G. A procedure to prove statements in differential geometry. J Autom Reasoning 6, 203–209 (1990). https://doi.org/10.1007/BF00245819

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  • DOI: https://doi.org/10.1007/BF00245819

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