Abstract: Algebraic way to define complexity is the key point of this article. You find here one rather abstract approach with lots of applications, - it is the method to endow a set, satisfying certain conditions, with binary relation, which can be named 'complexity'. It is naturally applied to different sets of maps, although structure of calculable functions is easily defined at a set of convex figures, natural numbers, information channels and other objects.Note: Research direction:Mathematical problems and theory of numerical method
Continuous complexity theory gets its name from the model of mathematical computation on which it is...
We present a logical approach to complexity over the real numbers with respect to the model of Blum,...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
This paper approaches computational complexity as the determination of the intrinsic difficulty of m...
Algebraic complexity theory, the study of the minimum number of operations sufficient to perform alg...
Introduction Computational complexity is the study of the di#culty of solving computational problem...
AbstractUsing an untyped theory of sets and partial functions formulated in first-order free-logic w...
The purpose of this paper is to outline the theory of computational complexity which has emerged as ...
It is argued that complexity has only a limited use as a paradigm against reductionist approaches an...
We explain the essence of K. Mulmuley and M. Sohoni, \Geometric Complexity Theory I: An Approach to ...
The thesis aims to analyze some fundamental theoretical elements of Computability Theory and Computa...
This work is developed around Computational Complexity, very different from the Theory of Complexity...
AbstractAn attempt is made to introduce the non-expert reader to the many aspects of a relatively ne...
1 Introduction Computational complexity theory studies the quantitative laws which govern computing....
Abstract — There exists a variety of techniques for the computa-tional complexity analysis of algori...
Continuous complexity theory gets its name from the model of mathematical computation on which it is...
We present a logical approach to complexity over the real numbers with respect to the model of Blum,...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
This paper approaches computational complexity as the determination of the intrinsic difficulty of m...
Algebraic complexity theory, the study of the minimum number of operations sufficient to perform alg...
Introduction Computational complexity is the study of the di#culty of solving computational problem...
AbstractUsing an untyped theory of sets and partial functions formulated in first-order free-logic w...
The purpose of this paper is to outline the theory of computational complexity which has emerged as ...
It is argued that complexity has only a limited use as a paradigm against reductionist approaches an...
We explain the essence of K. Mulmuley and M. Sohoni, \Geometric Complexity Theory I: An Approach to ...
The thesis aims to analyze some fundamental theoretical elements of Computability Theory and Computa...
This work is developed around Computational Complexity, very different from the Theory of Complexity...
AbstractAn attempt is made to introduce the non-expert reader to the many aspects of a relatively ne...
1 Introduction Computational complexity theory studies the quantitative laws which govern computing....
Abstract — There exists a variety of techniques for the computa-tional complexity analysis of algori...
Continuous complexity theory gets its name from the model of mathematical computation on which it is...
We present a logical approach to complexity over the real numbers with respect to the model of Blum,...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...