A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Filters
GEOTHER 1.1: Handling and Proving Geometric Theorems Automatically
[chapter]
2004
Lecture Notes in Computer Science
Preserved Fulltext
GEOTHER provides an environment for handling and proving theorems in geometry automatically. In this environment, geometric theorems are represented by means of predicate specifications. ...
) geometry. ...
The current version GEOTHER 1.1 provides a user-friendly environment for handling and proving theorems in geometry automatically. ...
doi:10.1007/978-3-540-24616-9_12
fatcat:prtb6iijcrfhpcy7vmnparwa34
Saturation-based theorem proving: Past successes and future potential
[chapter]
1996
Lecture Notes in Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
quantifiers
p. 161
GEOTHER: a geometry theorem prover
p. 166
Structuring metatheory on inductive definitions
p. 171
An embedding of Ruby in Isabelle
p. 186
Mechanical verification of mutually ...
prolog technology theorem prover for default reasoning: a system description
p. 293
IMPS: an updated system description
p. 298
The tableau-based theorem prover [subscript 3]T[superscript A]P, version ...
doi:10.1007/3-540-61511-3_64
fatcat:iizfu32trnfadmj4z7xcvwds5y
GeoThms — a Web System for Euclidean Constructive Geometry
2007
Electronical Notes in Theoretical Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
GeoThms is a web-based framework for exploring geometrical knowledge that integrates Dynamic Geometry Software (DGS), Automatic Theorem Provers (ATP), and a repository of geometrical constructions, figures ...
GeoThms is a publicly accessible system with a growing body of geometrical constructions and formally proven geometrical theorems. ...
Framework Components GeoThms, is a framework that links dynamic geometry software, geometry automatic theorem provers, and a repository of geometry problems providing a common web interface for all these ...
doi:10.1016/j.entcs.2006.09.020
fatcat:tloosukxrrd5venmpmgix25v7e
Automated Theorem Proving in GeoGebra: Current Achievements
2015
Journal of automated reasoning
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
mature stage, we embarked on a project of incorporating and testing a number of dierent automated provers for geometry in GeoGebra. ...
Since including automated deduction tools in GeoGebra could bring a whole new range of teaching and learning scenarios, and since automated theorem proving and discovery in geometry has reached a rather ...
An early example (from the late 70's) is Geom, a Prolog-based geometry theorem-prover ( [Coelho & al., 1986] ). ...
doi:10.1007/s10817-015-9326-4
fatcat:rh7lvmmy75eipaqmkvf3dqxs3a
Towards a Geometry Automated Provers Competition
2020
Electronic Proceedings in Theoretical Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2020 pre-print arXiv:2002.12556v1 fatcat:2mzm5bb6zzgifns3x3waegq6eu
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 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 ...
There are many other GATPs to be considered: ArgoCLP, a Coherent Logic Based Geometry Theorem Prover [34] , GEOTHER [36] , Gex [12, 13, 15] , JGEX [39] , MMP [14] ; different formalizations in Coq ...
doi:10.4204/eptcs.313.6
fatcat:7qd6linvqnbifeh4lxwe75ii6y
The SymbolicData GEO Records – A Public Repository of Geometry Theorem Proof Schemes
[chapter]
2004
Lecture Notes in Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Such facilities are part of integrated geometry theorem provers as, e.g., D. Wang's GEOTHER prover [14, 16] or the Geometry Expert, [5] . ...
It is a special design decision of many geometry theorem provers, e.g., D.Wang's GEOTHER [14] , not to introduce the latter objects as basic but to take only point objects as primitives. ...
A proof scheme for the Cathedral example [11, 5.3] as GEO record ...
doi:10.1007/978-3-540-24616-9_5
fatcat:5uctg5wepzgblp2oyxajlym74i
Geometry Constructions Language
2009
Journal of automated reasoning
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Geometry Constructions Language (gcl) is a language for explicit descriptions of constructions in Euclidean plane and of their properties. ...
These features make the tools gclc and Wingclc powerful mechanized geometry systems and they have thousands of users worldwide. ...
Built-in Theorem Provers The system gclc has three geometry theorem provers for Euclidean constructive theorems built in (for a survey of automated deduction in geometry, see, for instance [26] ): a theorem ...
doi:10.1007/s10817-009-9135-8
fatcat:ecv4j425evhuhdry5m5gnrqlre
Electronic Geometry Textbook: A Geometric Textbook Knowledge Management System
[article]
2010
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
By integrating an external geometric theorem prover and an external dynamic geometry software package, the system offers the facilities for automatically proving theorems and generating dynamic figures ...
This paper provides a comprehensive account of the current version of Electronic Geometry Textbook. ...
For example, the theorems in the textbooks can be automatically proved by invoking geometric theorem provers, and the figures are automatically constructed by applying dynamic geometry software. ...
arXiv:1005.0080v1
fatcat:3odyuvxtcvfarbj4kfpoqjizjq
Automated Discovery in Elementary Extrema Problems
[chapter]
2006
Lecture Notes in Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
This paper describes an enhancement of GDI, a dynamic geometry environment that uses symbolic techniques for performing automatic proof and discovery in elementary geometry. ...
Based in classical one variable calculus, the new module, Optimus, is a step ahead in the cooperation between dynamic geometry and computer algebra systems. ...
8 3 theorem). ...
doi:10.1007/11758525_63
fatcat:o3tdrxc37bemtmyw6p4s377zlq
Formalization and Implementation of Algebraic Methods in Geometry
2012
Electronic Proceedings in Theoretical Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We describe our ongoing project of formalization of algebraic methods for geometry theorem proving (Wu's method and the Groebner bases method), their implementation and integration in educational tools ...
should enable new applications of theorem proving in education. ...
Quaife used a resolution theorem prover to prove theorems in Tarski's geometry [38] . ...
doi:10.4204/eptcs.79.4
fatcat:j7pyqmy6nvbpraduv6tbkhmmt4
Combining algebraic computing and term-rewriting for geometry theorem proving
[chapter]
1998
Lecture Notes in Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
This note reports some of our investigations on combining algebraic computing and term-rewriting techniques for automated geometry theorem proving. ...
A general approach is proposed that requires both Clifford algebraic reduction and term-rewriting. ...
Design The architecture of our prototype is simple and allows one to use the user interface of GEOTHER [11] , a geometry theorem prover developed by the second author using several methods (Wu's characteristic ...
doi:10.1007/bfb0055909
fatcat:wvc5fdfi6fhrxkz4i7ujlnltt4
Automatically Building Diagrams for Olympiad Geometry Problems
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We present a method for automatically building diagrams for olympiad-level geometry problems and implement our approach in a new open-source software tool, the Geometry Model Builder (GMB). ...
Central to our method is a new domain-specific language, the Geometry Model-Building Language (GMBL), for specifying geometry problems along with additional metadata useful for building diagrams. ...
Our program can be run both as a command-line tool for integration with theorem provers or as a locally-hosted web server. ...
arXiv:2012.02590v2
fatcat:iw67yzylkrgsjaxbfvimesphbi
Automated Generation of Geometric Theorems from Images of Diagrams
[article]
2014
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Experiments with a preliminary implementation illustrate the effectiveness and efficiency of the proposed approach for generating nontrivial theorems from images of diagrams. ...
We propose an approach to generate geometric theorems from electronic images of diagrams automatically. ...
For the efficiency of theorem mining, false propositions need be ruled out first, so that each proposition submitted to a theorem prover is a potential theorem. ...
arXiv:1406.1638v1
fatcat:oy47uzea7vdd5m4dgff4derbwi
Formalization of Wu's Simple Method in Coq
[chapter]
2011
Lecture Notes in Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2012; you can also visit the original URL.
The file type is application/pdf.
We present in this paper the integration within the Coq proof assistant, of a method for automatic theorem proving in geometry. We use an approach based on the validation of a certificate. ...
The certificate is generated by an implementation in Ocaml of a simple version of Wu's method. ...
Stating the conjecture As most automatic theorem provers in geometry, to state a theorem, we will assume that the user provides the assumptions as a list of geometric predicates taking only points as parameters ...
doi:10.1007/978-3-642-25379-9_8
fatcat:yk3yueuenreatdwxiiumaosc3e
Automatic Verification of Regular Constructions in Dynamic Geometry Systems
[chapter]
Automated Deduction in Geometry
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
We present an application of automatic theorem proving (ATP) in the verification of constructions made with dynamic geometry software (DGS). ...
This gives a real-world application of ATP in dynamic geometry tools. ...
The Geometric Framework GeoThms 4 is a framework that links dynamic geometry software (GCLC, Eukleides), geometry theorem provers (GCLCprover), and a repository of geometry problems (geoDB). ...
doi:10.1007/978-3-540-77356-6_3
dblp:conf/adg/JanicicQ06
fatcat:5lbvtew56fgo3bgguztplh7i5q
« Previous
Showing results 1 — 15 out of 17 results