In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that can...

Complexity characterizes the behavior of a system or model whose components interact in multiple ways and follow local rules, leading to non-linearity...

particular, no program P computing a lower bound for each text's Kolmogorov complexity can return a value essentially larger than P's own length (see section...

In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly...

science P   = ?   N P {\displaystyle {\mathsf {P\ {\overset {?}{=}}\ NP}}} More unsolved problems in computer science In computational complexity theory...

the roles of computational complexity theory is to determine the practical limits on what computers can and cannot do. The P versus NP problem, one of...

⁠ P = ? P S P A C E {\displaystyle {\mathsf {P{\overset {?}{=}}PSPACE}}} ⁠ More unsolved problems in computer science In computational complexity theory...

Proving that N P ⊈ P / p o l y {\displaystyle {\mathsf {NP}}\not \subseteq {\mathsf {P/poly}}} would separate P and NP (see below). Complexity classes defined...

In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus...

extension complexity of a convex polytope P {\displaystyle P} is the smallest number of facets among convex polytopes Q {\displaystyle Q} that have P {\displaystyle...

"statistical complexity" by James P. Crutchfield and Karl Young. Grassberger, P. (1986). "Toward a quantitative theory of self-generated complexity". International...

the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...

In computational complexity theory, L (also known as LSPACE, LOGSPACE or DLOGSPACE) is the complexity class containing decision problems that can be solved...

In computational complexity theory, the complexity class #P (pronounced "sharp P" or, sometimes "number P" or "hash P") is the set of the counting problems...

could be automated. The relation between the complexity classes P and NP is studied in computational complexity theory, the part of the theory of computation...

input, but not on the input itself. A decision problem is in the complexity class P/f(n) if there is a polynomial time Turing machine M with the following...

In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according...

In computational complexity theory, the complexity class FNP is the function problem extension of the decision problem class NP. The name is somewhat...

(or "most expressive") problems in the complexity class. More formally, a problem p is called hard for a complexity class C under a given type of reduction...

in computer science In computational complexity theory, NL (Nondeterministic Logarithmic-space) is the complexity class containing decision problems that...

In computational complexity theory, the complexity class FP is the set of function problems that can be solved by a deterministic Turing machine in polynomial...

complexity classes PSPACE and NPSPACE allow f {\displaystyle f} to be any polynomial, analogously to P and NP. That is, P S P A C E = ⋃ c ∈ Z + D S P...

In computational complexity theory, the complement of a decision problem is the decision problem resulting from reversing the yes and no answers. Equivalently...

In theoretical computer science, communication complexity studies the amount of communication required to solve a problem when the input to the problem...

Cyclomatic complexity is a software metric used to indicate the complexity of a program. It is a quantitative measure of the number of linearly independent...

In complexity theory, ZPP (zero-error probabilistic polynomial time) is the complexity class of problems for which a probabilistic Turing machine exists...

In complexity theory, PP, or PPT is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability...

Logical depth is a measure of complexity for individual strings devised by Charles H. Bennett based on the computational complexity of an algorithm that can...

#P-complete problems (pronounced "sharp P complete", "number P complete", or "hash P complete") form a complexity class in computational complexity theory...

The P convention in communication p-value, in statistical hypothesis testing P (complexity), a complexity class in computational complexity theory #P complexity...