Optimal solutions are given for the two following problems: the condition for a degree 4 polynomial to have only positive values and the condition for an ellipse to be inside the unit circle
AbstractWe consider the average-case complexity of some otherwise undecidable or open Diophantine pr...
In this paper we give a new algorithm for quantifier elimination in the first order theory of real c...
AbstractWe present an elimination method for polynomial systems, in the form of three main algorithm...
Optimal solutions are given for the two following problems: the condition for a degree 4 polynomial ...
We give solutions to two problems of elementary algebra and geometry: (1) find conditlons on real nu...
We discuss the impact of data structures in quantifier elimination. We analyze the arithmetic comple...
International audienceQuantifier elimination over the reals is a central problem incomputational rea...
The following very general result could have important implications for Quantifier Elimination theor...
Solving polynomial systems is an active research area located betweencomputer sciences and mathemati...
AbstractIn this paper we obtain an effective algorithm for quantifier elimination over algebraically...
A prefixed polynomial equation, or a polynomial expression with a quantifier prefix, is an equation ...
This series of papers presents a complete development and complexity analysis of a decision method, ...
In this paper we present a simple recurrent algorithm for solving the linearization problem involvin...
AbstractGiven a formula Φ in r variables, some of them quantified and/or occurring as arguments in t...
This thesis addresses several classic problems in algebraic and symbolic computation related to the...
AbstractWe consider the average-case complexity of some otherwise undecidable or open Diophantine pr...
In this paper we give a new algorithm for quantifier elimination in the first order theory of real c...
AbstractWe present an elimination method for polynomial systems, in the form of three main algorithm...
Optimal solutions are given for the two following problems: the condition for a degree 4 polynomial ...
We give solutions to two problems of elementary algebra and geometry: (1) find conditlons on real nu...
We discuss the impact of data structures in quantifier elimination. We analyze the arithmetic comple...
International audienceQuantifier elimination over the reals is a central problem incomputational rea...
The following very general result could have important implications for Quantifier Elimination theor...
Solving polynomial systems is an active research area located betweencomputer sciences and mathemati...
AbstractIn this paper we obtain an effective algorithm for quantifier elimination over algebraically...
A prefixed polynomial equation, or a polynomial expression with a quantifier prefix, is an equation ...
This series of papers presents a complete development and complexity analysis of a decision method, ...
In this paper we present a simple recurrent algorithm for solving the linearization problem involvin...
AbstractGiven a formula Φ in r variables, some of them quantified and/or occurring as arguments in t...
This thesis addresses several classic problems in algebraic and symbolic computation related to the...
AbstractWe consider the average-case complexity of some otherwise undecidable or open Diophantine pr...
In this paper we give a new algorithm for quantifier elimination in the first order theory of real c...
AbstractWe present an elimination method for polynomial systems, in the form of three main algorithm...