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Circuit complexity

In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according to the size or depth of the Boolean circuits that compute them. A related notion is the circuit complexity of a recursive language that is decided by a uniform family of circuits C 1 , C 2 , ……

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Overview

Size and depth

Uniformity

History

Circuit lower bounds

Complexity classes

Relation to time complexity

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Map overview Semantic statistics

Circuit complexity

Nodes62
Edges61
Triples78
Avg. degree1.97
Density0.032258
Components1

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Circuit complexity

Top relations

related to Further reading · 37
Circuit complexity → Also, An EATCS Series, At, Blue Book, Boolean Functions, Computational Complexity, Computer Sciences, Electronic Colloquium, Frankfurt, German, Germany, Heribert, Ingo, Introduction, ISBN, John Wiley, LCCN, Lecture, Main/Bielefeld, NB
related to history · 16
Circuit complexity → AC0, Ajtai, Boolean, Circuit, Despite, Extending, Furst, Håstad, Later, Razborov, Saxe, Shannon, Sipser, Smolensky, Superpolynomial, The
related to Complexity classes · 11
Circuit complexity → AC, ACi, AND, By, For, Many, NC, NCi, NOT, OR, The
related to Size and depth · 8
Circuit complexity → AND, Boolean, NOT, One, OR, Such, The, There
related to Relation to time complexity · 3
Circuit complexity → If, TIME, Turing Machine
is a · 1
Circuit complexity → branch of computational complexity theory in which Boolean functions are classified according to the size or depth of the Boolean circuits that compute them

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Important terminology

circuit complexity circuits displaystyle boolean size family lower bounds input function uniform classes gates functions language depth poly bits tc0

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Circuit complexityis abranch of computational complexity theory in which Boolean functions are classified according to the size or depth of the Boolean circuits that compute them0.90text
Turing machines where the same computational device is used for all possible input lengthsinstance ofin contrast with uniform models0.80text
AC0 or TC0instance ofThe stricter requirement of DLOGTIME-uniformity is of particular interest in the study of shallow-depth circuit-classes0.80text
Circuit complexityrelated to Complexity classesMany0.60section
Circuit complexityrelated to Complexity classesFor0.60section
Circuit complexityrelated to Complexity classesNCi0.60section
Circuit complexityrelated to Complexity classesAND0.60section
Circuit complexityrelated to Complexity classesOR0.60section
Circuit complexityrelated to Complexity classesNOT0.60section
Circuit complexityrelated to Complexity classesThe0.60section
Circuit complexityrelated to Complexity classesNC0.60section
Circuit complexityrelated to Complexity classesBy0.60section

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