An account of Valiant's theory of p-computable versus p-definable polynomials, an arithmetic analogue of the Boolean theory of P versus NP, is presented, with detailed proofs of Valiant's central results
We study the power of big products for computing multivariate polynomials ina Valiant-like framework...
AbstractWe give a logic-based framework for defining counting problems and show that it exactly capt...
The P versus NP problem is to determine whether every language accepted by some nondeterministic alg...
An account of Valiant's theory of p-computable versus p-definable polynomials, an arithmetic analogu...
In Valiant developed an algebraic analogue of the theory of NP-completeness for computations of po...
13 pagesWe investigate the following question: if a polynomial can be evaluated at rational points b...
Let tau(k) be the minimum number of arithmetic operations required to build the integer k from the c...
Abstract. We investigate the following question: if a polynomial can be evaluated at rational points...
We consider arithmetic complexity classes that are in some sense dual to the classes VP(Fp) that wer...
AbstractValiant developed a nonuniform algebraic analogue of the theory of NP-completeness for compu...
12 pagesWe study the power of big products for computing multivariate polynomials in a Valiant-like ...
Arithmetic complexity is the study of the required ressources for computing poynomials using only ar...
We define a theory of parameterized algebraic complexity classes in analogy to parameterized Boolean...
Investigating Logics for Feasible Computation The most celebrated open problem in theoretical comput...
P versus NP is considered as one of the most important open problems in computer science. This consi...
We study the power of big products for computing multivariate polynomials ina Valiant-like framework...
AbstractWe give a logic-based framework for defining counting problems and show that it exactly capt...
The P versus NP problem is to determine whether every language accepted by some nondeterministic alg...
An account of Valiant's theory of p-computable versus p-definable polynomials, an arithmetic analogu...
In Valiant developed an algebraic analogue of the theory of NP-completeness for computations of po...
13 pagesWe investigate the following question: if a polynomial can be evaluated at rational points b...
Let tau(k) be the minimum number of arithmetic operations required to build the integer k from the c...
Abstract. We investigate the following question: if a polynomial can be evaluated at rational points...
We consider arithmetic complexity classes that are in some sense dual to the classes VP(Fp) that wer...
AbstractValiant developed a nonuniform algebraic analogue of the theory of NP-completeness for compu...
12 pagesWe study the power of big products for computing multivariate polynomials in a Valiant-like ...
Arithmetic complexity is the study of the required ressources for computing poynomials using only ar...
We define a theory of parameterized algebraic complexity classes in analogy to parameterized Boolean...
Investigating Logics for Feasible Computation The most celebrated open problem in theoretical comput...
P versus NP is considered as one of the most important open problems in computer science. This consi...
We study the power of big products for computing multivariate polynomials ina Valiant-like framework...
AbstractWe give a logic-based framework for defining counting problems and show that it exactly capt...
The P versus NP problem is to determine whether every language accepted by some nondeterministic alg...