Towards a Geometry Automated Provers Competition

Abstract

The geometry automated theorem proving area distinguishes itself by a large number of specific methods and implementations, different approaches (synthetic, algebraic, semi-synthetic) and different goals and applications (from research in the area of artificial intelligence to applications in education).Apart from the usual measures of efficiency (e.g. CPU time), the possibility of visual and/or readable proofs is also an expected output against which the geometry automated theorem provers (GATP) should be measured.The implementation of a competition between GATP would allow to create a test bench for GATP developers to improve the existing ones and to propose new ones. It would also allow to establish a ranking for GATP that could be used by "clients" (e.g. developers of educational e-learning systems) to choose the best implementation for a given intended use. * This work is financed by national funds through the FCT -Foundation for Science and Technology, I.P., within the scope of the project CISUC -UID/CEC/00326/2019

Towards a geometry deductive database prover

“…The OGPCP, aims to integrate different efforts in the development of GATP, namely: to provide a common open access repository for the development of GATPs; to provide an API to the different GATP in such a way that they can be easily used by users; to develop a portfolio strategies to allow choosing the best GATP for any given geometric conjecture; to interface with repositories of geometric knowledge, e.g. TGTP, 12 TPTP; to develop a GATP System Competition (GASC) to allow rating GATPs [2].…”

Open Geometry Prover Community Project

“…To be able to compare the different methods and implementations, a competition will have the virtue of pushing towards the standardization of the input language, the standardization of test sets, the direct comparability and the easier exchange of ideas and algorithmic techniques. The results of such a competition will also constitute a showcase, where potential users will look for the best GATP for their goals [2,25].…”