computational complexity theory of computer science, the structural complexity theory or simply structural complexity is the study of complexity classes, rather...
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In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource...
50 KB (6,704 words) - 19:18, 26 May 2025
P versus NP problem (redirect from Complexity classes P and NP)
The relation between the complexity classes P and NP is studied in computational complexity theory, the part of the theory of computation dealing with...
63 KB (7,784 words) - 06:53, 25 April 2025
Time hierarchy theorem (category Structural complexity theory)
In computational complexity theory, the time hierarchy theorems are important statements about time-bounded computation on Turing machines. Informally...
17 KB (2,511 words) - 13:43, 5 June 2025
Toda's theorem (category Structural complexity theory)
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 Polynomial-Time Hierarchy"...
3 KB (428 words) - 21:45, 8 June 2020
DLIN (category Structural complexity theory)
In computational complexity theory, DLIN is the class of decision problems that can be solved by a multitape Turing machine in linear time, O(n). It is...
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NLIN (category Structural complexity theory)
In computational complexity theory, NLIN is the class of decision problems that can be solved by a nondeterministic multitape Turing machine in linear...
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Savitch's theorem (category Structural complexity theory)
In computational complexity theory, Savitch's theorem, proved by Walter Savitch in 1970, gives a relationship between deterministic and non-deterministic...
8 KB (1,094 words) - 18:48, 19 June 2025
Berman–Hartmanis conjecture (category Structural complexity theory)
NP-complete languages? More unsolved problems in computer science In structural complexity theory, the Berman–Hartmanis conjecture is an unsolved conjecture named...
11 KB (1,250 words) - 14:26, 18 December 2024
In mathematical logic, computational complexity theory, and computer science, the existential theory of the reals is the set of all true sentences of...
32 KB (3,821 words) - 10:57, 27 May 2025
Space hierarchy theorem (category Structural complexity theory)
In computational complexity theory, the space hierarchy theorems are separation results that show that both deterministic and nondeterministic machines...
16 KB (2,784 words) - 01:28, 10 March 2025
Blum axioms (redirect from Blum complexity axioms)
In computational complexity theory the Blum axioms or Blum complexity axioms are axioms that specify desirable properties of complexity measures on the...
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Compression theorem (category Structural complexity theory)
In computational complexity theory, the compression theorem is an important theorem about the complexity of computable functions. The theorem states that...
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Structural information theory (SIT) is a theory about human perception and in particular about visual perceptual organization, which is a neuro-cognitive...
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Low and high hierarchies (category Structural complexity theory)
In the computational complexity theory, the low hierarchy and high hierarchy of complexity levels were introduced in 1983 by Uwe Schöning to describe...
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Resource-bounded measure (category Structural complexity theory)
languages is countable), each complexity class has Lebesgue measure 0. Thus, to do measure theory inside of complexity classes, we must define an alternative...
7 KB (1,048 words) - 06:15, 10 May 2024
Valiant–Vazirani theorem (category Structural complexity theory)
The Valiant–Vazirani theorem is a theorem in computational complexity theory stating that if there is a polynomial time algorithm for Unambiguous-SAT...
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Complexity theory and organizations, also called complexity strategy or complex adaptive organizations, is the use of the study of complexity systems...
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List of theorems (section Number theory)
(computational complexity theory, structural complexity theory) Cook's theorem (computational complexity theory) Fagin's theorem (computational complexity theory) Full...
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and his team, the theory assigns an assembly index to molecules, which serves as a measurable indicator of their structural complexity. Cronin and colleagues...
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biological processes. Structural complexity methods are based on applications of differential geometry and topology (and in particular knot theory) to interpret...
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Immerman–Szelepcsényi theorem (category Structural complexity theory)
In computational complexity theory, the Immerman–Szelepcsényi theorem states that nondeterministic space complexity classes are closed under complementation...
10 KB (1,272 words) - 19:55, 9 February 2025
Sipser–Lautemann theorem (redirect from Sipser-Gacs-Lautemann Theory)
In computational complexity theory, the Sipser–Lautemann theorem or Sipser–Gács–Lautemann theorem states that bounded-error probabilistic polynomial (BPP)...
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for his research on structural complexity theory, the study of computational complexity in terms of the relation between complexity classes rather than...
8 KB (663 words) - 00:46, 18 March 2025
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...
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Structural functionalism, or simply functionalism, is "a framework for building theory that sees society as a complex system whose parts work together...
53 KB (6,912 words) - 08:59, 3 June 2025
Complex system (redirect from Complexity science)
(2003). "Theories of complexity". Complexity. 8 (3): 19–30. Bibcode:2003Cmplx...8c..19C. doi:10.1002/cplx.10059. Walter Clemens, Jr., Complexity Science...
48 KB (4,941 words) - 01:56, 15 June 2025
Polynomial creativity (category Structural complexity theory)
In computational complexity theory, polynomial creativity is a theory analogous to the theory of creative sets in recursion theory and mathematical logic...
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theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Some of the major areas of proof theory include structural proof...
20 KB (2,666 words) - 15:22, 15 March 2025
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...
23 KB (2,912 words) - 22:16, 10 March 2025