[图书][B] Handbook of geometric constraint systems principles

M Sitharam, AS John, J Sidman - 2018 - taylorfrancis.com
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …

[HTML][HTML] Formalization of the arithmetization of Euclidean plane geometry and applications

P Boutry, G Braun, J Narboux - Journal of Symbolic Computation, 2019 - Elsevier
This paper describes the formalization of the arithmetization of Euclidean plane geometry in
the Coq proof assistant. As a basis for this work, Tarski's system of geometry was chosen for …

Automated generation of machine verifiable and readable proofs: a case study of Tarski's geometry

SS Ðurđević, J Narboux, P Janičić - Annals of Mathematics and Artificial …, 2015 - Springer
The power of state-of-the-art automated and interactive theorem provers has reached the
level at which a significant portion of non-trivial mathematical contents can be formalized …

[HTML][HTML] Taxonomies of geometric problems

P Quaresma, V Santos, P Graziani, N Baeta - Journal of Symbolic …, 2020 - Elsevier
Abstract In the current Information Society the organisation of the information is key to
ensure the information safekeeping and retrieval. It is of utmost importance that each and …

Parallel postulates and continuity axioms: a mechanized study in intuitionistic logic using Coq

P Boutry, C Gries, J Narboux, P Schreck - Journal of Automated Reasoning, 2019 - Springer
In this paper we focus on the formalization of the proofs of equivalence between different
versions of Euclid's 5th postulate. Our study is performed in the context of Tarski's neutral …

A synthetic proof of Pappus' theorem in Tarski's geometry

G Braun, J Narboux - Journal of Automated Reasoning, 2017 - Springer
In this paper, we report on the formalization of a synthetic proof of Pappus' theorem. We
provide two versions of the theorem: the first one is proved in neutral geometry (without …

Towards an intelligent and dynamic geometry book

P Quaresma - Mathematics in Computer Science, 2017 - Springer
The pursuit of an Intelligent and Dynamic Geometry Book should involve the study of how
currently developing methodologies and technologies of geometry knowledge …

Computer theorem proving for verifiable solving of geometric construction problems

V Marinković, P Janičić, P Schreck - … , ADG 2014, Coimbra, Portugal, July 9 …, 2015 - Springer
Over the last sixty years, a number of methods for automated theorem proving in geometry,
especially Euclidean geometry, have been developed. Almost all of them focus on …

Computer-assisted theorem proving in synthetic geometry

J Narboux, P Janicic, J Fleuriot - Handbook of Geometric …, 2018 - books.google.com
Computer-assisted theorem proving in synthetic geometry Page 56 Chapter 2 Computer-Assisted
Theorem Proving in Synthetic Geometry Julien Narboux University of Strasbourg Predrag …

From Hilbert to Tarski

G Braun, P Boutry, J Narboux - Eleventh International Workshop on …, 2016 - inria.hal.science
In this paper, we describe the formal proof using the Coq proof assistant that Tarski's axioms
for plane neutral geometry (excluding continuity axioms) can be derived from the …