Abstract. We present the growing C++ library GiNaCRA, which provides efficient and easy-to-integrate data structures and methods for real al-gebra. It is based on the C++ library GiNaC, supporting the symbolic representation and manipulation of polynomials. In contrast to other similar tools, our open source library aids exact, real algebraic computa-tions based on an appropriate data type representing real zeros of poly-nomials. The only non-standard library GiNaCRA depends on is GiNaC, which makes the installation and usage of our library simple. Our long-term goal is to integrate decision procedures for real algebra within the Satisfiability-Modulo-Theories (SMT) context and thereby provide tool support for many applied formal methods.
We present a novel certified and complete algorithm to compute arrangements of real planar algebraic...
Givaro main features are implementations of the basic arithmetic of many mathematical entities: Prim...
Abstract. Real algebraic numbers are the real numbers that are real roots of univariate polynomials ...
AbstractThe traditional split into a low level language and a high level language in the design of c...
Real algebraic geometry deals with the solution set of (possibly quantified) systems of polynomial e...
Abstract. GiNaC is a free framework that embeds symbolic manipulation consistently into the C++ prog...
This paper presents a construction of the real algebraic numbers with executable arithmetic operatio...
Quantifier-free real-algebraic formulas are Boolean combinations of polynomial equations and inequal...
We briefly survey recent computational complexity results for certain algebraic problems that are re...
International audienceThis paper describes a formalization of discrete real closed fields in the Coq...
This example of Clifford algebras calculations uses GiNaC (this http URL) library, which includes a ...
AbstractThis paper presents a new encoding scheme for real algebraic number manipulations which enha...
Abstract. We discuss issues of problem formulation for algorithms in real algebraic ge-ometry, focus...
We present a certified and complete algorithm to compute arrangements of real planar algebraic curve...
This thesis presents a formalization of algebraic numbers and their theory. It brings two new import...
We present a novel certified and complete algorithm to compute arrangements of real planar algebraic...
Givaro main features are implementations of the basic arithmetic of many mathematical entities: Prim...
Abstract. Real algebraic numbers are the real numbers that are real roots of univariate polynomials ...
AbstractThe traditional split into a low level language and a high level language in the design of c...
Real algebraic geometry deals with the solution set of (possibly quantified) systems of polynomial e...
Abstract. GiNaC is a free framework that embeds symbolic manipulation consistently into the C++ prog...
This paper presents a construction of the real algebraic numbers with executable arithmetic operatio...
Quantifier-free real-algebraic formulas are Boolean combinations of polynomial equations and inequal...
We briefly survey recent computational complexity results for certain algebraic problems that are re...
International audienceThis paper describes a formalization of discrete real closed fields in the Coq...
This example of Clifford algebras calculations uses GiNaC (this http URL) library, which includes a ...
AbstractThis paper presents a new encoding scheme for real algebraic number manipulations which enha...
Abstract. We discuss issues of problem formulation for algorithms in real algebraic ge-ometry, focus...
We present a certified and complete algorithm to compute arrangements of real planar algebraic curve...
This thesis presents a formalization of algebraic numbers and their theory. It brings two new import...
We present a novel certified and complete algorithm to compute arrangements of real planar algebraic...
Givaro main features are implementations of the basic arithmetic of many mathematical entities: Prim...
Abstract. Real algebraic numbers are the real numbers that are real roots of univariate polynomials ...