Ahmed Amerkad, Yves Bertot, Loïc Pottier & Laurence Rideau (2001):
Mathematics and Proof Presentation in Pcoq.
In: Workshop Proof Transformation and Presentation and Proof Complexities in connection with IJCAR 2001,
Siena.
Jeremy Avigad, Edward Dean & John Mumma (2009):
A Formal System for Euclid's Elements.
The Review of Symbolic Logic 2,
pp. 700–768,
doi:10.1017/S1755020309990098.
Michael Beeson, Julien Narboux & Freek Wiedijk (2019):
Proof-checking Euclid.
Annals of Mathematics and Artificial Intelligence 85(2-4),
pp. 213–257,
doi:10.1007/s10472-018-9606-x.
Publisher: Springer.
Yves Bertot, Frédérique Guilhot & Loïc Pottier (2004):
Visualizing Geometrical Statements with GeoView.
Proceedings of the Workshop User Interfaces for Theorem Provers 2003 103,
pp. 49–65,
doi:10.1016/j.entcs.2004.09.013.
Yves Bertot & Laurent Thery (1998):
A Generic Approach to Building User Interfaces for Theorem Provers.
The Journal of Symbolic Computation 25,
pp. 161–194,
doi:10.1006/jsco.1997.0171.
Marc Bezem & Thierry Coquand (2005):
Automating Coherent Logic.
In: Geoff Sutcliffe & Andrei Voronkov: 12th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning LPAR 2005,
Lecture Notes in Computer Science 3835.
Springer-Verlag,
pp. 246–260,
doi:10.1007/11591191_18.
Francisco Botana, Markus Hohenwarter, Predrag Janiči\'c, Zoltán Kovács, Ivan Petrovi\'c, Tomás Recio & Simon Weitzhofer (2015):
Automated Theorem Proving in GeoGebra: Current Achievements.
Journal of Automated Reasoning 55(1),
pp. 39–59,
doi:10.1007/s10817-015-9326-4.
Shang-Ching Chou, Xiao-Shan Gao & Ji Zhang (1996):
Automated Generation of Readable Proofs with Geometric Invariants, II. Theorem Proving With Full-Angles.
Journal of Automated Reasoning 17(13),
pp. 349–370,
doi:10.1007/BF00283134.
Coq development team, The (2010):
The Coq proof assistant reference manual, Version 8.3.
LogiCal Project.
Available at http://coq.inria.fr.
Roy Dyckhoff & Sara Negri (2015):
Geometrization of first-order logic.
The Bulletin of Symbolic Logic 21,
pp. 123–163,
doi:10.1017/bsl.2015.7.
M. Ganesalingam & W. T. Gowers (2013):
A fully automatic problem solver with human-style output.
CoRR abs/1309.4501.
Xiao-Shan Gao & Qiang Lin (2004):
MMP/Geometer - A Software Package for Automated Geometric Reasoning.
In: Proceedings of Automated Deduction in Geometry (ADG02),
Lecture Notes in Computer Science 2930.
Springer-Verlag,
pp. 44–66,
doi:10.1007/978-3-540-24616-9_4.
Herbert Gelernter, J. R. Hansen & Donald Loveland (1960):
Empirical explorations of the geometry theorem machine.
In: Papers presented at the May 3-5, 1960, western joint IRE-AIEE-ACM computer conference,
IRE-AIEE-ACM '60 (Western).
ACM,
San Francisco, California,
pp. 143–149,
doi:10.1145/1460361.1460381.
Predrag Janiči\'c (2006):
GCLC A Tool for Constructive Euclidean Geometry and More Than That.
In: Andrés Iglesias & Nobuki Takayama: Mathematical Software - ICMS 2006,
Lecture Notes in Computer Science 4151.
Springer,
pp. 58–73,
doi:10.1007/11832225_6.
Predrag Janiči\'c (2009):
GCLC 9.0/WinGCLC 2009.
Manual for the GCLC Dynamic Geometry Software.
Predrag Janiči\'c (2010):
Geometry Constructions Language.
Journal of Automated Reasoning 44(1-2),
pp. 3–24,
doi:10.1007/s10817-009-9135-8.
Predrag Janiči\'c & Julien Narboux (2021):
Theorem Proving as Constraint Solving with Coherent Logic.
Submitted.
Saunders MacLane & Ieke Moerdijk (1992):
Sheaves in geometry and logic: a first introduction to topos theory.
Springer-Verlag.
Nathaniel Miller (2001):
A diagrammatic formal system for Euclidean geometry.
Cornell University.
Julien Narboux (2007):
A Graphical User Interface for Formal Proofs in Geometry.
Journal of Automated Reasoning 39(2),
pp. 161–180,
doi:10.1007/s10817-007-9071-4.
Julien Narboux & Viviane Durand-Guerrier (2021):
Combining pencil/paper proofs and formal proofs, a challenge for Artificial Intelligence and mathematics education.
In: Mathematics Education in the Age of Artificial Intelligence: How Intelligence can serve mathematical human learning.
Springer.
In press.
Hans de Nivelle & Jia Meng (2006):
Geometric Resolution: A Proof Procedure Based on Finite Model Search.
In: Ulrich Furbach & Natarajan Shankar: Automated Reasoning, Third International Joint Conference, IJCAR 2006, Seattle, WA, USA, August 17-20, 2006, Proceedings,
Lecture Notes in Computer Science 4130.
Springer,
pp. 303–317,
doi:10.1007/11814771_28.
Tuan Minh Pham & Yves Bertot (2012):
A Combination of a Dynamic Geometry Software With a Proof Assistant for Interactive Formal Proofs.
Electron. Notes Theor. Comput. Sci. 285,
pp. 43–55,
doi:10.1016/j.entcs.2012.06.005.
Andrew Polonsky (2011):
Proofs, Types and Lambda Calculus.
University of Bergen.
G. Sutcliffe (2009):
The TPTP Problem Library and Associated Infrastructure: The FOF and CNF Parts, v3.5.0.
Journal of Automated Reasoning 43(4),
pp. 337–362,
doi:10.1007/s10817-009-9143-8.
Steven Vickers (1993):
Geometric Logic in Computer Science.
In: Theory and Formal Methods,
Workshops in Computing.
Springer,
pp. 37–54,
doi:10.1007/978-1-4471-3503-6_4.
Dongming Wang (2003):
Automated Generation of Diagrams with Maple and Java.
In: Michael Joswig & Nobuki Takayama: Algebra, Geometry and Software Systems.
Springer,
Berlin, Heidelberg,
pp. 277–287,
doi:10.1007/978-3-662-05148-1_15.
Sean Wilson & Jacques D. Fleuriot (2005):
Combining Dynamic Geometry, Automated Geometry Theorem Proving and Diagrammatic Proofs.
In: ETAPS Satellite Workshop on User Interfaces for Theorem Provers (UITP).
Springer,
Edinburgh.
Daniel Winterstein (2004):
Dr.Doodle: A Diagrammatic Theorem Prover.
In: Proceedings of IJCAR 2004,
doi:10.1007/978-3-540-25984-8_24.
Zheng Ye, Shang-Ching Chou & Xiao-Shan Gao (2010):
Visually Dynamic Presentation of Proofs in Plane Geometry.
Journal of Automated Reasoning 45(3),
pp. 243–266,
doi:10.1007/s10817-009-9163-4.
Zheng Ye, Shang-Ching Chou & Xiao-Shan Gao (2010):
Visually Dynamic Presentation of Proofs in Plane Geometry, Part 1.
J. Autom. Reason. 45(3),
pp. 213–241,
doi:10.1007/s10817-009-9162-5.
Zheng Ye, Shang-Ching Chou & Xiao-Shan Gao (2011):
An Introduction to Java Geometry Expert.
In: Post-proceedings of Automated Deduction in Geometry (ADG 2008),
Lecture Notes in Computer Science 6301.
Springer-Verlag,
pp. 189–195,
doi:10.1007/978-3-642-21046-4_10.