Computational Complexity Theory

The relation between the complexity classes P and NP is studied in computational complexity theory, the part of the theory of computation dealing with the resources required during computation.

established the foundations for the field of computational complexity theory

foundations for the field of computational complexity theory

Khot has contributed to the field of computational complexity

He is a coauthor (with Boaz Barak) of the book Computational Complexity: A Modern Approach.

if SAT can be solved by Boolean circuits with a polynomial number of logic gates, then the polynomial hierarchy collapses to its second level

time that has been proven to be polynomial in n

together with work on computational complexity theory, cryptography, and algorithmic game theory

database theory, and computational complexity theory

the foundations of computational complexity theory

for proving Toda's theorem in computational complexity theory

was best known for defining the complexity class NL

Among his many contributions to Complexity Theory, he introduced the notion of #P-completeness

Her areas of interest and research include Theoretical computer science, Computational complexity

especially in the design and analysis of algorithms and computational complexity

fundamental contributions to the theory of computation, probabilistic algorithms, inductive inference, and quantum computing

Strassen's pioneering work contributed to probability theory, functional analysis, mathematical statistics, algorithm design, and computational complexity theory.

he published a landmark paper in complexity theory

Fischer was an early leader in the field of computational complexity

In computational complexity theory, the unique games conjecture (often referred to as UGC) is a conjecture made by Subhash Khot in

In computational complexity theory, the space hierarchy theorems are separation results that show that both deterministic and nond

In computational complexity theory, a function problem is a computational problem where a single output is expected for every inpu

In computational complexity theory, Savitch's theorem, proved by Walter Savitch in 1970, gives a relationship between deterministi

In computational complexity theory, Blum's speedup theorem, first stated by Manuel Blum in 1967, is a fundamental theorem about th

Toda's theorem is a result in computational complexity theory that was proven by Seinosuke Toda in his paper "PP is as Hard as the

In computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision pr

He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.

In computational complexity, problems that are in the complexity class NP but are neither in the class P nor NP-complete are called NP-intermediate, and the class of such problems is called NPI.

who posed it in a 1965 paper that founded the field of computational complexity theory (earning them the 1993 ACM Turing Award).

In computational complexity, the sensitivity theorem, proved by Hao Huang