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...on theorem''' is an important theorem about the [[Computational complexity|complexity]] of [[computable function]]s. The theorem states that there exists no largest [[complexity class]], with computable boundary, which contains all computable functions. ...

{{Short description|Computational theorem}} {{for|the theorem that some mathematical proofs can be drastically shortened in stronger axiom systems|Gödel's speed-up theorem}} ...

...description|Rules out assigning to arbitrary functions their computational complexity}} ...stated by [[Manuel Blum]] in 1967, is a fundamental [[theorem]] about the complexity of [[computable function]]s. ...

...escription|There are arbitrarily large computable gaps in the hierarchy of complexity classes}} :''See also [[Gap theorem (disambiguation)]] for other gap theorems in [[mathematics]].'' ...

...description|Notation describing limiting behavior in computational number theory}} ...s)|function]], such as the [[Computational complexity theory|computational complexity]] of a particular [[algorithm]]. ...

...eir paper titled ''NP is as easy as detecting unique solutions'' published in 1986.<ref>{{Cite journal | last1 = Valiant | first1 = L. | last2 = Vazirani ...nt. In the first case, an algorithm for Unambiguous-SAT should reject, and in the second it should accept the formula. ...

{{Short description|Complexity class of approximable problems}} ...t-factor approximation algorithms''' for short). In simple terms, problems in this class have efficient [[algorithm]]s that can find an answer within som ...

...rt description|Set of all properties in existential 2nd order logic is the complexity class NP}} ...omputational complexity theory]] that characterizes [[complexity class]]es in terms of logic-based descriptions of their problems rather than by the beha ...

{{Short description|Theory of irregularities of distribution}} ...the theme of ''classical'' discrepancy theory, namely distributing points in some space such that they are evenly distributed with respect to some (most ...

...al results factored out of proofs). See also [[list of axioms]], [[list of theorems]] and [[list of conjectures]]. {{Main category|Lemmas in algebra}} ...

{{short description|Bounded-error probabilistic polynomial time is contained in the polynomial time hierarchy}} ...es that [[bounded-error probabilistic polynomial]] (BPP) time is contained in the [[Polynomial hierarchy|polynomial time hierarchy]], and more specifical ...

In [[automata theory]], an '''alternating finite automaton''' ('''AFA''') is a [[nondeterministi ...w'', if there ''exists'' a run tree on ''w'' such that ''every'' path ends in an accepting state. ...

...=[[Association for Computing Machinery]] |accessdate=10 March 2019}}</ref> In 1994 he was inducted as a [[List of Fellows of the Association for Computin ...mpleting a doctoral dissertation, titled ''Three person [[Cooperative game theory|cooperative games]] without side payments'', under the supervision of [[Har ...

{{short description|Relation between deterministic and nondeterministic space complexity}} ...any [[Space-constructible function|space-constructable function]] <math>f\in\Omega(\log(n))</math>,{{sfnp|Sipser|1997}} ...

{{Short description|Speeding up Turing machines by increasing tape symbol complexity}} ...Thomas A. Sudkamp| title = Languages and Machines: An Introduction to the Theory of Computer Science | chapter = 14.2 Linear Speedup | publisher = Addison-W ...

...s about time-bounded computation on [[Turing machine]]s. Informally, these theorems say that given more time, a Turing machine can solve more problems. For exa ...hines]] was first proven by [[Richard E. Stearns]] and [[Juris Hartmanis]] in 1965.<ref>{{Cite journal ...

...n space ''n'' log ''n'' than in space ''n''. The somewhat weaker analogous theorems for time are the [[time hierarchy theorem]]s. ...s). The hierarchy theorems are used to demonstrate that the time and space complexity classes form a hierarchy where classes with tighter bounds contain fewer la ...

...information]] and [[computation]] and their implementation and application in [[computer]] systems. One well known subject classification system for comp * [[Coding theory]] – Useful in networking, programming, system development, and other areas where computer ...

{{Short description|Indefinite quadratic forms in > 4 variables over the rationals nontrivially represent 0}} {{For|the theorem in computational complexity theory|P/poly}} ...

{{for|the type of rule used in linguistics|phrase structure rule}} In the [[formal logic|logical]] discipline of [[proof theory]], a '''structural rule''' is an [[inference rule]] of a [[sequent calculus ...