Treffer: Randomized zero testing of radical expressions and elementary geometry theorem proving
Title:
Randomized zero testing of radical expressions and elementary geometry theorem proving
Authors:
Source:
ADG 2000 : automated deduction in geometry (Zurich, 25-27 September 2000, revised papers)Lecture notes in computer science. :58-82
Publisher Information:
Berlin: Springer, 2001.
Publication Year:
2001
Physical Description:
print, 27 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Intelligence artificielle, Artificial intelligence, Résolution de problèmes, jeux, Problem solving, game playing, Calcul formel, Computer algebra, Cálculo formal, Démonstration théorème, Theorem proving, Demostración teorema, Géométrie algébrique, Algebraic geometry, Geometría algebraica, Géométrie euclidienne, Euclidean geometry, Geometría euclidiana, Racine carrée, Square root, Raíz cuadrada, Randomisation, Randomization, Aleatorización, Expression radicale
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Bell Laboratories, Lucent Technologies, Murray Hill, NJ 07974, United States
Department of Computer Science, Courant Institute, New York University, 251 Mercer Street, New York, NY 10012, United States
Department of Computer Science, Courant Institute, New York University, 251 Mercer Street, New York, NY 10012, United States
ISSN:
0302-9743
Rights:
Copyright 2002 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.14047715
Database:
PASCAL Archive
Weitere Informationen
We develop a probabilistic test for the vanishing of radical expressions, that is, expressions involving the four rational operations (+,-,×,+) and square root extraction. This extends the well-known Schwartz's probabilistic test for the vanishing of polynomials. The probabilistic test forms the basis of a new theorem prover for conjectures about ruler & compass constructions. Our implementation uses the Core Library which can perform exact comparison for radical expressions. Some experimental results are presented.