Reseña: MATHsAiD: Automated mathematical theory exploration

Se ha publicado un artículo de procesamiento del conocimiento matemático titulado MATHsAiD: Automated mathematical theory exploration.

Sus autores son

  • Alan Bundy (de la Univ. de Edimburgo),
  • Roy McCasland (de la Univ. de Edimburgo) y
  • Patrick Smith (de la Univ. de Glasgow).

Su resumen es

The aim of the MATHsAiD project is to build a tool for automated theorem-discovery; to design and build a tool to automatically conjecture and prove theorems (lemmas, corollaries, etc.) from a set of user-supplied axioms and definitions. No other input is required. This tool would, for instance, allow a mathematician to try several versions of a particular definition, and in a relatively small amount of time, be able to see some of the consequences, in terms of the resulting theorems, of each version. Moreover, the automatically discovered theorems could perhaps help the users to discover and prove further theorems for themselves. The tool could also easily be used by educators (to generate exercise sets, for instance) and by students as well. In a similar fashion, it might also prove useful in enabling automated theorem provers to dispatch many of the more difficult proof obligations arising in software verification, by automatically generating lemma.

Advances and Perspectives in the Mechanization of Mathematics

Un indicador de la vitalidad de un área lo constituye los números especiales de revistas dedicadas al área.

La revista Mathematical Structures in Computer Science ha anunciado un número especial sobre Advances and Perspectives in the Mechanization of Mathematics.

En el anuncio se constata el éxito obtenido formalizando algunos teoremas matemáticos importantes tales como el teorema de los números primos, el teorema de los cuatro colores y el teorema de la curva de Jordan.

El número desea reflejar los avances recientes y las nuevas perspectivas dentro del campo de la formalización del conocimiento matemático, incluyendo descripciones de nuevas formalizaciones.

La fecha límite para el envío de artículos es el 28 de Junio de 2010.