Mechanical geometry theorem proving
Mechanical geometry theorem proving
Proofs and types
Mechanical theorem proving in geometries
Mechanical theorem proving in geometries
Realization of a geometry-theorem proving machine
Computers & thought
Geometric construction by assembling solved subfigures
Artificial Intelligence
Formalizing mathematics in higher-order logic: a case study in geometric modelling
Theoretical Computer Science
Functional specification and prototyping with oriented combinatorial maps
Computational Geometry: Theory and Applications
Inductive Definitions in the system Coq - Rules and Properties
TLCA '93 Proceedings of the International Conference on Typed Lambda Calculi and Applications
Formal Specification and Theorem Proving Breakthroughs in Geometric Modeling
Proceedings of the 11th International Conference on Theorem Proving in Higher Order Logics
Organization and Development of a Constructive Axiomatization
TYPES '95 Selected papers from the International Workshop on Types for Proofs and Programs
Constructions: A Higher Order Proof System for Mechanizing Mathematics
EUROCAL '85 Invited Lectures from the European Conference on Computer Algebra-Volume I - Volume I
Formal Program Development in Geometric Modeling
FM-Trends 98 Proceedings of the International Workshop on Current Trends in Applied Formal Method: Applied Formal Methods
COLOG '88 Proceedings of the International Conference on Computer Logic
Formalizing the Trading Theorem for the Classification of Surfaces
TPHOLs '02 Proceedings of the 15th International Conference on Theorem Proving in Higher Order Logics
Visually Dynamic Presentation of Proofs in Plane Geometry
Journal of Automated Reasoning
Formalizing projective plane geometry in Coq
ADG'08 Proceedings of the 7th international conference on Automated deduction in geometry
A coq-based library for interactive and automated theorem proving in plane geometry
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part IV
A coherent logic based geometry theorem prover capable of producing formal and readable proofs
ADG'10 Proceedings of the 8th international conference on Automated Deduction in Geometry
Journal of Automated Reasoning
A case study in formalizing projective geometry in Coq: Desargues theorem
Computational Geometry: Theory and Applications
| Hi-index | 0.00 |
We propose the basis of a higher-order logical framework to axiomatize and build proofs in Hilbert's elementary geometry in which intuitionistic aspects are emphasized. More precisely, we use the Calculus of inductive constructions and the system Coq to specify geometric concepts and to study and interactively handle proofs for the first two groups of Hilbert's axiomatics. It is the first step to a formalization well adapted to the definition of primitive operations that are used in many different geometric algorithms.