Real quantifier elimination is doubly exponential
Journal of Symbolic Computation
Partial Cylindrical Algebraic Decomposition for quantifier elimination
Journal of Symbolic Computation
Counting connected components of a semialgebraic set in subexponential time
Computational Complexity
Branch cuts in computer algebra
ISSAC '94 Proceedings of the international symposium on Symbolic and algebraic computation
A representation of branch-cut information
ACM SIGSAM Bulletin
ACM SIGSAM Bulletin
Journal of Symbolic Computation - Special issue: validated numerical methods and computer algebra
“According to Abramowitz and Stegun” or arccoth needn't be uncouth
ACM SIGSAM Bulletin - Special issue of OpenMath
Simple CAD construction and its applications
Journal of Symbolic Computation
Reasoning about the Elementary Functions of Complex Analysis
Annals of Mathematics and Artificial Intelligence
Hauptvortrag: Quantifier elimination for real closed fields by cylindrical algebraic decomposition
Proceedings of the 2nd GI Conference on Automata Theory and Formal Languages
Towards better simplification of elementary functions
Proceedings of the 2002 international symposium on Symbolic and algebraic computation
A new zero-test for formal power series
Proceedings of the 2002 international symposium on Symbolic and algebraic computation
Better simplification of elementary functions through power series
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
Adherence is better than adjacency: computing the Riemann index using CAD
Proceedings of the 2005 international symposium on Symbolic and algebraic computation
On using bi-equational constraints in CAD construction
Proceedings of the 2005 international symposium on Symbolic and algebraic computation
ACM Communications in Computer Algebra
Understanding branch cuts of expressions
CICM'13 Proceedings of the 2013 international conference on Intelligent Computer Mathematics
Automated simplification of large symbolic expressions
Journal of Symbolic Computation
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Simplification has been long recognised to be a fundamental problem within computer algebra [17]. However, even for the class of elementary functions, it has not been resolved in a satisfactory way.Algorithms were presented in [4, 2] to solve this problem, and it was seen that both methods had their own strengths and weaknesses. Also, not all functions could be handled by either of the methods alone. The current paper continues this line of development by combining the two methods, and reporting on progress made with the various sub-algorithms involved.