Journal of Automated Reasoning

, Volume 6, Issue 2, pp 203–209 | Cite as

A procedure to prove statements in differential geometry

  • Giuseppa Carrà Ferro
  • Giovanni Gallo


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.

Key words

Differential algebraic set differential dimension 


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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Giuseppa Carrà Ferro
    • 1
  • Giovanni Gallo
    • 1
  1. 1.Dipartimento di MatematicaUniversità di CataniaCataniaItaly

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