33 relations: Alternating Turing machine, Cambridge University Press, Closed timelike curve, Complement (complexity), Complement (set theory), Computational complexity theory, Context-sensitive language, Decision problem, Descriptive complexity theory, DSPACE, EXPSPACE, EXPTIME, Interactive proof system, IP (complexity), Kleene star, NL (complexity), Non-deterministic Turing machine, Nondeterministic algorithm, NP (complexity), P (complexity), PH (complexity), Polynomial, Polynomial-time reduction, PSPACE-complete, QIP (complexity), Quantum computing, Savitch's theorem, Second-order logic, Space hierarchy theorem, Transitive closure, True quantified Boolean formula, Turing machine, Union (set theory).

## Alternating Turing machine

In computational complexity theory, an alternating Turing machine (ATM) is a non-deterministic Turing machine (NTM) with a rule for accepting computations that generalizes the rules used in the definition of the complexity classes NP and co-NP.

New!!: PSPACE and Alternating Turing machine · See more »

## Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

New!!: PSPACE and Cambridge University Press · See more »

## Christmas

Christmas is an annual festival commemorating the birth of Jesus Christ,Martindale, Cyril Charles.

New!!: PSPACE and Christmas · See more »

## Christmas and holiday season

The Christmas season, also called the festive season, or the holiday season (mainly in the U.S. and Canada; often simply called the holidays),, is an annually recurring period recognized in many Western and Western-influenced countries that is generally considered to run from late November to early January.

New!!: PSPACE and Christmas and holiday season · See more »

## Christmas Eve

Christmas Eve is the evening or entire day before Christmas Day, the festival commemorating the birth of Jesus.

New!!: PSPACE and Christmas Eve · See more »

## Christmas traditions

Christmas traditions vary from country to country.

New!!: PSPACE and Christmas traditions · See more »

## Closed timelike curve

In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime that is "closed", returning to its starting point.

New!!: PSPACE and Closed timelike curve · See more »

## Complement (complexity)

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

New!!: PSPACE and Complement (complexity) · See more »

## Complement (set theory)

In set theory, the complement of a set refers to elements not in.

New!!: PSPACE and Complement (set theory) · See more »

## Computational complexity theory

Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.

New!!: PSPACE and Computational complexity theory · See more »

## Context-sensitive language

In formal language theory, a context-sensitive language is a language that can be defined by a context-sensitive grammar (and equivalently by a noncontracting grammar).

New!!: PSPACE and Context-sensitive language · See more »

## Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

New!!: PSPACE and Decision problem · See more »

## Descriptive complexity theory

Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic needed to express the languages in them.

New!!: PSPACE and Descriptive complexity theory · See more »

## DSPACE

In computational complexity theory, DSPACE or SPACE is the computational resource describing the resource of memory space for a deterministic Turing machine.

New!!: PSPACE and DSPACE · See more »

## EXPSPACE

In complexity theory, '' is the set of all decision problems solvable by a deterministic Turing machine in O(2p(n)) space, where p(n) is a polynomial function of n. (Some authors restrict p(n) to be a linear function, but most authors instead call the resulting class.) If we use a nondeterministic machine instead, we get the class, which is equal to by Savitch's theorem.

New!!: PSPACE and EXPSPACE · See more »

## EXPTIME

In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that have exponential runtime, i.e., that are solvable by a deterministic Turing machine in O(2p(n)) time, where p(n) is a polynomial function of n. In terms of DTIME, We know and also, by the time hierarchy theorem and the space hierarchy theorem, that so at least one of the first three inclusions and at least one of the last three inclusions must be proper, but it is not known which ones are.

New!!: PSPACE and EXPTIME · See more »

## Interactive proof system

In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two parties.

New!!: PSPACE and Interactive proof system · See more »

## IP (complexity)

In computational complexity theory, the class IP (which stands for Interactive Polynomial time) is the class of problems solvable by an interactive proof system.

New!!: PSPACE and IP (complexity) · See more »

## Kleene star

In mathematical logic and computer science, the Kleene star (or Kleene operator or Kleene closure) is a unary operation, either on sets of strings or on sets of symbols or characters.

New!!: PSPACE and Kleene star · See more »

## NL (complexity)

In computational complexity theory, NL (Nondeterministic Logarithmic-space) is the complexity class containing decision problems which can be solved by a nondeterministic Turing machine using a logarithmic amount of memory space.

New!!: PSPACE and NL (complexity) · See more »

## New Year

New Year is the time or day at which a new calendar year begins and the calendar's year count increments by one.

New!!: PSPACE and New Year · See more »

## New Year's Day

New Year's Day, also called simply New Year's or New Year, is observed on January 1, the first day of the year on the modern Gregorian calendar as well as the Julian calendar.

New!!: PSPACE and New Year's Day · See more »

## New Year's Eve

In the Gregorian calendar, New Year's Eve (also known as Old Year's Day or Saint Sylvester's Day in many countries), the last day of the year, is on 31 December which is the seventh day of Christmastide.

New!!: PSPACE and New Year's Eve · See more »

## Non-deterministic Turing machine

In theoretical computer science, a Turing machine is a theoretical machine that is used in thought experiments to examine the abilities and limitations of computers.

New!!: PSPACE and Non-deterministic Turing machine · See more »

## Nondeterministic algorithm

In computer science, a nondeterministic algorithm is an algorithm that, even for the same input, can exhibit different behaviors on different runs, as opposed to a deterministic algorithm.

New!!: PSPACE and Nondeterministic algorithm · See more »

## NP (complexity)

In computational complexity theory, NP (for nondeterministic polynomial time) is a complexity class used to describe certain types of decision problems.

New!!: PSPACE and NP (complexity) · See more »

## P (complexity)

In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class.

New!!: PSPACE and P (complexity) · See more »

## PH (complexity)

In computational complexity theory, the complexity class PH is the union of all complexity classes in the polynomial hierarchy: PH was first defined by Larry Stockmeyer.

New!!: PSPACE and PH (complexity) · See more »

## Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

New!!: PSPACE and Polynomial · See more »

## Polynomial-time reduction

In computational complexity theory, a polynomial-time reduction is a method of solving one problem by means of a hypothetical subroutine for solving a different problem (that is, a reduction), that uses polynomial time excluding the time within the subroutine.

New!!: PSPACE and Polynomial-time reduction · See more »

## PSPACE-complete

In computational complexity theory, a decision problem is PSPACE-complete if it can be solved using an amount of memory that is polynomial in the input length (polynomial space) and if every other problem that can be solved in polynomial space can be transformed to it in polynomial time.

New!!: PSPACE and PSPACE-complete · See more »

## QIP (complexity)

In computational complexity theory, the class QIP, which stands for Quantum Interactive Polynomial time, is the quantum computing analogue of the classical complexity class IP, which is the set of problems solvable by an interactive proof system with a polynomial-time verifier and one computationally unbounded prover.

New!!: PSPACE and QIP (complexity) · See more »

## Quantum computing

Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.

New!!: PSPACE and Quantum computing · See more »

## Savitch's theorem

In computational complexity theory, Savitch's theorem, proved by Walter Savitch in 1970, gives a relationship between deterministic and non-deterministic space complexity.

New!!: PSPACE and Savitch's theorem · See more »

## Second-order logic

In logic and mathematics second-order logic is an extension of first-order logic, which itself is an extension of propositional logic.

New!!: PSPACE and Second-order logic · See more »

## Space hierarchy theorem

In computational complexity theory, the space hierarchy theorems are separation results that show that both deterministic and nondeterministic machines can solve more problems in (asymptotically) more space, subject to certain conditions.

New!!: PSPACE and Space hierarchy theorem · See more »

## Transitive closure

In mathematics, the transitive closure of a binary relation R on a set X is the smallest relation on X that contains R and is transitive.

New!!: PSPACE and Transitive closure · See more »

## True quantified Boolean formula

In computational complexity theory, the language TQBF is a formal language consisting of the true quantified Boolean formulas.

New!!: PSPACE and True quantified Boolean formula · See more »

## Turing machine

A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.

New!!: PSPACE and Turing machine · See more »

## Union (set theory)

In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

New!!: PSPACE and Union (set theory) · See more »

## 2018

2018 has been designated as the third International Year of the Reef by the International Coral Reef Initiative.

New!!: PSPACE and 2018 · See more »

## 2019

2019 (MMXIX) will be a common year starting on Tuesday of the Gregorian calendar, the 2019th year of the Common Era (CE) and Anno Domini (AD) designations, the 19th year of the 3rd millennium, the 19th year of the 21st century, and the 10th and last year of the 2010s decade.

New!!: PSPACE and 2019 · See more »

## Redirects here:

AP (complexity), APTIME, NPSPACE, P = PSPACE problem, PSPACE (complexity), PSPACE-Hard, PSPACE-hard, Polynomial space.