Matches in SemOpenAlex for { <https://semopenalex.org/work/W1628350080> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W1628350080 abstract "Abstract—We establish a connection between non-deterministiccommunication complexity and instance complexity, a measureof information based on algorithmic entropy. Let x, y and Y 1 (x)be respectively the input known by Alice, the input known byBob, and the set of all values of y such that f(x,y) = 1; a stringis a witness of the non-deterministic communication protocol iffit is a program p that “corresponds exactly” to the instancecomplexity ic f,t (y : Y 1 (x)). I. I NTRODUCTION In a general scenario of communication complexity there aretwo parties, Alice and Bob, and the goal is to find the minimalquantity of information, measured in number of bits, thatthey must exchange in order to compute the value of a givenfunction of their inputs, f : X × Y → {0,1}. The instancecomplexity ic O,t (x : A), is a rigorous measure of information,based on algorithmic entropy, is the length of the shortestprogram with access to the oracle O that, in time t,1) answers correctly the question “x ∈ A?”;2) does not “lie” about the set A(the program may howeveranswer “I don’t know” by outputting ⊥).Thus, the communication complexity measures the communi-cation costs while instance complexity is related with compu-tational complexity. The objective of this paper is to establish arelationship between these two apparently unrelated measuresof complexity.Let x and y be the inputs of size n of Alice and Bobrespectively. Consider Y" @default.
- W1628350080 created "2016-06-24" @default.
- W1628350080 creator A5009420670 @default.
- W1628350080 creator A5035830862 @default.
- W1628350080 creator A5054293792 @default.
- W1628350080 date "2009-01-19" @default.
- W1628350080 modified "2023-09-27" @default.
- W1628350080 title "Measuring communication complexity using instance complexity with oracles" @default.
- W1628350080 cites W1527197079 @default.
- W1628350080 cites W1638203394 @default.
- W1628350080 cites W2002501531 @default.
- W1628350080 cites W2009195096 @default.
- W1628350080 cites W2019982983 @default.
- W1628350080 cites W2106651222 @default.
- W1628350080 cites W2293341947 @default.
- W1628350080 hasPublicationYear "2009" @default.
- W1628350080 type Work @default.
- W1628350080 sameAs 1628350080 @default.
- W1628350080 citedByCount "0" @default.
- W1628350080 crossrefType "posted-content" @default.
- W1628350080 hasAuthorship W1628350080A5009420670 @default.
- W1628350080 hasAuthorship W1628350080A5035830862 @default.
- W1628350080 hasAuthorship W1628350080A5054293792 @default.
- W1628350080 hasConcept C10138342 @default.
- W1628350080 hasConcept C106301342 @default.
- W1628350080 hasConcept C11413529 @default.
- W1628350080 hasConcept C114614502 @default.
- W1628350080 hasConcept C115903868 @default.
- W1628350080 hasConcept C118615104 @default.
- W1628350080 hasConcept C121332964 @default.
- W1628350080 hasConcept C127964579 @default.
- W1628350080 hasConcept C133142742 @default.
- W1628350080 hasConcept C162324750 @default.
- W1628350080 hasConcept C177264268 @default.
- W1628350080 hasConcept C179145077 @default.
- W1628350080 hasConcept C179799912 @default.
- W1628350080 hasConcept C182306322 @default.
- W1628350080 hasConcept C199360897 @default.
- W1628350080 hasConcept C2778222013 @default.
- W1628350080 hasConcept C311688 @default.
- W1628350080 hasConcept C33923547 @default.
- W1628350080 hasConcept C41008148 @default.
- W1628350080 hasConcept C55166926 @default.
- W1628350080 hasConcept C62520636 @default.
- W1628350080 hasConcept C80444323 @default.
- W1628350080 hasConceptScore W1628350080C10138342 @default.
- W1628350080 hasConceptScore W1628350080C106301342 @default.
- W1628350080 hasConceptScore W1628350080C11413529 @default.
- W1628350080 hasConceptScore W1628350080C114614502 @default.
- W1628350080 hasConceptScore W1628350080C115903868 @default.
- W1628350080 hasConceptScore W1628350080C118615104 @default.
- W1628350080 hasConceptScore W1628350080C121332964 @default.
- W1628350080 hasConceptScore W1628350080C127964579 @default.
- W1628350080 hasConceptScore W1628350080C133142742 @default.
- W1628350080 hasConceptScore W1628350080C162324750 @default.
- W1628350080 hasConceptScore W1628350080C177264268 @default.
- W1628350080 hasConceptScore W1628350080C179145077 @default.
- W1628350080 hasConceptScore W1628350080C179799912 @default.
- W1628350080 hasConceptScore W1628350080C182306322 @default.
- W1628350080 hasConceptScore W1628350080C199360897 @default.
- W1628350080 hasConceptScore W1628350080C2778222013 @default.
- W1628350080 hasConceptScore W1628350080C311688 @default.
- W1628350080 hasConceptScore W1628350080C33923547 @default.
- W1628350080 hasConceptScore W1628350080C41008148 @default.
- W1628350080 hasConceptScore W1628350080C55166926 @default.
- W1628350080 hasConceptScore W1628350080C62520636 @default.
- W1628350080 hasConceptScore W1628350080C80444323 @default.
- W1628350080 hasLocation W16283500801 @default.
- W1628350080 hasOpenAccess W1628350080 @default.
- W1628350080 hasPrimaryLocation W16283500801 @default.
- W1628350080 hasRelatedWork W1535569271 @default.
- W1628350080 hasRelatedWork W1607280525 @default.
- W1628350080 hasRelatedWork W1669290062 @default.
- W1628350080 hasRelatedWork W2010796327 @default.
- W1628350080 hasRelatedWork W2058766981 @default.
- W1628350080 hasRelatedWork W2062881383 @default.
- W1628350080 hasRelatedWork W2073639613 @default.
- W1628350080 hasRelatedWork W2085125115 @default.
- W1628350080 hasRelatedWork W2107740972 @default.
- W1628350080 hasRelatedWork W2154150949 @default.
- W1628350080 hasRelatedWork W2186154531 @default.
- W1628350080 hasRelatedWork W2398963027 @default.
- W1628350080 hasRelatedWork W2405744206 @default.
- W1628350080 hasRelatedWork W2611323838 @default.
- W1628350080 hasRelatedWork W290381399 @default.
- W1628350080 hasRelatedWork W2952478716 @default.
- W1628350080 hasRelatedWork W2963148337 @default.
- W1628350080 hasRelatedWork W2963358788 @default.
- W1628350080 hasRelatedWork W2967222818 @default.
- W1628350080 hasRelatedWork W3134161675 @default.
- W1628350080 isParatext "false" @default.
- W1628350080 isRetracted "false" @default.
- W1628350080 magId "1628350080" @default.
- W1628350080 workType "article" @default.