Enunciados ni ciertos ni falsos en razonamiento automático en geometría

  1. ZOLTÁN KOVÁCS
  2. TOMÁS RECIO
  3. M. PILAR VÉLEZ
Zeitschrift:
Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

ISSN: 1132-6360

Datum der Publikation: 2018

Titel der Ausgabe: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones

Nummer: 43

Seiten: 111-114

Art: Artikel

Andere Publikationen in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Zusammenfassung

We investigate and generalize to an extended framework the notion of true on components labeled by Zhou, Wang and Sun in their paper “Automated Reducible Geometric Theorem Proving and Discovery by Gröbner Basis Method”, J. Automat. Reasoning 59 (3), 331-344, 2017. A new, simple criterion is presented for a statement to be simultaneously not generally true and not generally false (i.e. true on components), and its performance is exemplified through the implementation of this test in the dynamic geometry program GeoGebra. This extended abstract is based on a recent work by the authors [5].