Add to ORKGWe lay the foundations of a new theory for algorithms and computational complexity by parameterizing the instances of a computational problem as a moduli scheme. Considering the geometry of the scheme associated to 3-SAT, we separate P and NP.Comment: 11 pages, corrections upon the referee repor
The class UP of `ultimate polynomial time' problems over C is introduced; it contains the class...
In 2005, Gh. Păun raised an interesting question concerning the role of electrical charges in P syst...
In this paper we view $P\stackrel{?}{=}NP$ as the problem which symbolizes the attempt to understand...
We show that the problem of determining the feasibility of quadratic systems over $\mathbb{C}$, $\ma...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
AbstractWe consider the average-case complexity of some otherwise undecidable or open Diophantine pr...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
The classical (Turing) theory of computation has been extraordinarily successful in providing the fo...
AbstractIn this primarily expository article, I describe geometric approaches to variants of P versu...
Abstract—Many fundamental problems in automated theorem proving are known to be NP-Complete. In [4],...
The class UP of `ultimate polynomial time' problems over C is introduced; it contains the class...
In 2005, Gh. Păun raised an interesting question concerning the role of electrical charges in P syst...
In this paper we view $P\stackrel{?}{=}NP$ as the problem which symbolizes the attempt to understand...
We show that the problem of determining the feasibility of quadratic systems over $\mathbb{C}$, $\ma...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
AbstractWe consider the average-case complexity of some otherwise undecidable or open Diophantine pr...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
At its core, much of Computational Complexity is concerned with combinatorial objects and structures...
Computational Complexity is concerned with the resources that are required for algorithms to detect ...
The classical (Turing) theory of computation has been extraordinarily successful in providing the fo...
AbstractIn this primarily expository article, I describe geometric approaches to variants of P versu...
Abstract—Many fundamental problems in automated theorem proving are known to be NP-Complete. In [4],...
The class UP of `ultimate polynomial time' problems over C is introduced; it contains the class...
In 2005, Gh. Păun raised an interesting question concerning the role of electrical charges in P syst...
In this paper we view $P\stackrel{?}{=}NP$ as the problem which symbolizes the attempt to understand...