Tomás Recio

Orcid: 0000-0002-1011-295X

According to our database1, Tomás Recio authored at least 78 papers between 1987 and 2024.

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Bibliography

2024
Geometric Loci and ChatGPT: Caveat Emptor!
Comput., February, 2024

Computing with Tarski formulas and semi-algebraic sets in a web browser.
J. Symb. Comput., 2024

Efficient isochronous fixed-weight sampling with applications to NTRU.
IACR Cryptol. ePrint Arch., 2024

Solving with GeoGebra Discovery an Austrian Mathematics Olympiad problem: Lessons Learned.
CoRR, 2024

Showing Proofs, Assessing Difficulty with GeoGebra Discovery.
CoRR, 2024

2023
Faithful Real-Time Animation of Parametrized (Semi-) Algebraic Expressions via Cylindrical Algebraic Decomposition.
ACM Commun. Comput. Algebra, June, 2023

Articles, software, data: An Open Science ethological study.
Maple Trans., 2023

Towards Detection of Partial Truth via Real Geometry.
Proceedings of the 8th SC-Square Workshop co-located with the 48th International Symposium on Symbolic and Algebraic Computation, 2023

2022
Is Computer Algebra Ready for Conjecturing and Proving Geometric Inequalities in the Classroom?
Math. Comput. Sci., 2022

Niagara Falls and the Origins of Computer Algebra.
Maple Trans., 2022

A web version of Tarski, a system for computing with Tarski formulas and semialgebraic sets.
Proceedings of the 24th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2022

2021
A Mechanical Geometer.
Math. Comput. Sci., 2021

GeoGebra Discovery in Context.
Proceedings of the 13th International Conference on Automated Deduction in Geometry, 2021

Open comments on the Task Force SIRS report: Scholarly Infrastructures for Research Software (EOSC Executive Board, EOSCArchitecture).
CoRR, 2021

Automated reasoning tools in GeoGebra discovery.
ACM Commun. Comput. Algebra, 2021

2020
Reasoning about linkages with dynamic geometry.
J. Symb. Comput., 2020

Special issue on dynamic geometry and automated reasoning.
J. Symb. Comput., 2020

A policy and legal Open Science framework: a proposal.
CoRR, 2020

Merging Maple and GeoGebra Automated Reasoning Tools.
Proceedings of the Maple in Mathematics Education and Research - 4th Maple Conference, 2020

2019
A Proposal for the Automatic Computation of Envelopes of Families of Plane Curves.
J. Syst. Sci. Complex., 2019

On the evaluation of research software: the CDUR procedure.
F1000Research, 2019

Rewriting input expressions in complex algebraic geometry provers.
Ann. Math. Artif. Intell., 2019

2018
Detecting truth on components.
CoRR, 2018

The Importance of Being Zero.
Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

Towards an Automated Geometer.
Proceedings of the Artificial Intelligence and Symbolic Computation, 2018

2017
Computing envelopes in dynamic geometry environments.
Ann. Math. Artif. Intell., 2017

2016
On the Unavoidable Uncertainty of Truth in Dynamic Geometry Proving.
Math. Comput. Sci., 2016

Some issues on the automatic computation of plane envelopes in interactive environments.
Math. Comput. Simul., 2016

On tubular vs. swung surfaces.
J. Symb. Comput., 2016

Development of automatic reasoning tools in GeoGebra.
ACM Commun. Comput. Algebra, 2016

Towards the Automatic Discovery of Theorems in GeoGebra.
Proceedings of the Mathematical Software - ICMS 2016, 2016

2015
Automated Theorem Proving in GeoGebra: Current Achievements.
J. Autom. Reason., 2015

2014
Factoring analytic multivariate polynomials and non-standard Cauchy-Riemann conditions.
Math. Comput. Simul., 2014

Generalizing the Steiner-Lehmus theorem using the Gröbner cover.
Math. Comput. Simul., 2014

An algebraic taxonomy for locus computation in dynamic geometry.
Comput. Aided Des., 2014

Ultraquadrics associated to affine and projective automorphisms.
Appl. Algebra Eng. Commun. Comput., 2014

Reparametrizing swung surfaces over the reals.
Appl. Algebra Eng. Commun. Comput., 2014

Using Maple's RegularChains Library to Automatically Classify Plane Geometric Loci.
Proceedings of the Mathematical Software - ICMS 2014, 2014

Software Using the Gröbner Cover for Geometrical Loci Computation and Classification.
Proceedings of the Mathematical Software - ICMS 2014, 2014

2011
Algorithmic detection of hypercircles.
Math. Comput. Simul., 2011

Proper real reparametrization of rational ruled surfaces.
Comput. Aided Geom. Des., 2011

Equal Bisectors at a Vertex of a Triangle.
Proceedings of the Computational Science and Its Applications - ICCSA 2011, 2011

Teaching Geometry with TutorMates.
Proceedings of the Computational Science and Its Applications - ICCSA 2011, 2011

2010
Generalizing circles over algebraic extensions.
Math. Comput., 2010

2009
On the simplification of the coefficients of a parametrization.
J. Symb. Comput., 2009

On Protocols for the Automated Discovery of Theorems in Elementary Geometry.
J. Autom. Reason., 2009

2007
Foreword from the Editors.
J. Symb. Comput., 2007

Plotting missing points and branches of real parametric curves.
Appl. Algebra Eng. Commun. Comput., 2007

2006
Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems.
Proceedings of the Automated Deduction in Geometry, 2006

2004
Review of "Computational Commutative Algebra I by Martin Kreuzer and Lorenzo Robbiano", Springer Verlag, 2000, ISBN 3-540-67733-X.
SIGSAM Bull., 2004

From hypercircles to units.
Proceedings of the Symbolic and Algebraic Computation, 2004

Where the Truth Lies (in Automatic Theorem Proving in Elementary Geometry).
Proceedings of the Computational Science and Its Applications, 2004

Towards Solving the Dynamic Geometry Bottleneck Via a Symbolic Approach.
Proceedings of the Automated Deduction in Geometry, 5th International Workshop, 2004

2001
Computer Algebra and Mechanized Reasoning: Selected St. Andrews' ISSAC/Calculemus 2000 Contributions - Foreword from the Editors.
J. Symb. Comput., 2001

1999
Automatic Discovery of Theorems in Elementary Geometry.
J. Autom. Reason., 1999

Computing Weil's descente variety.
SIGSAM Bull., 1999

Base Field Restriction Techniques for Parametric Curves.
Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

1998
Advances on the Simplification of Sine-Cosine Equations.
J. Symb. Comput., 1998

1997
Real Reparametrizations of Real Curves.
J. Symb. Comput., 1997

Voronoi Diagrams on Orbifolds.
Comput. Geom., 1997

A Relatively Optimal Rational Space Curve Reparametrization Algorithm Through Canonical Divisors.
Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, 1997

1996
Geometry of bisectors for strictly convex distances.
Int. J. Comput. Geom. Appl., 1996

1995
A Rational Function Decomposition Algorithm by Near-Separated Polynomials.
J. Symb. Comput., 1995

An implicitization algorithm with fewer variables.
Comput. Aided Geom. Des., 1995

Reconsidering algorithms for real parametric curves.
Appl. Algebra Eng. Commun. Comput., 1995

1994
Spécialisation de la suite de Sturm.
RAIRO Theor. Informatics Appl., 1994

A Note on Rabin's Width of a Complete Proof.
Comput. Complex., 1994

On the Symbolic Insimplification of the General 6R-Manipulator Kinematic Equations.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1994

1993
Path Tracking in Motion Planning.
Comput. J., 1993

On the Topological Shape of Planar Voronoi Diagrams.
Proceedings of the Ninth Annual Symposium on Computational GeometrySan Diego, 1993

1992
Rational Function Decomposition and Gröbner Bases in the Parameterization of Plane Curves (An extended abstract).
Proceedings of the LATIN '92, 1992

A Practical Implementation of Two Rational Function Decomposition Algorithms.
Proceedings of the 1992 International Symposium on Symbolic and Algebraic Computation, 1992

1990
Spécialisation de la suite de Sturm et sous-résulants.
RAIRO Theor. Informatics Appl., 1990

Algorithms in Real Algebraic Geometry and Applications to Computational Geometry.
Proceedings of the Discrete and Computational Geometry: Papers from the DIMACS Special Year, 1990

1989
Sturm-Habicht Sequence.
Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic and Algebraic Computation, 1989

1988
Polynomial Decomposition Algorithm of Almost Quadratic Complexity.
Proceedings of the Applied Algebra, 1988

1987
Rabin's width of a complete proof and the width of a semialgebraic set.
Proceedings of the EUROCAL '87, 1987

On the Computation of the Local and Global Analytic Branches of a Real Algebraic Curve.
Proceedings of the Applied Algebra, 1987


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