Matches in SemOpenAlex for { <https://semopenalex.org/work/W4213302006> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W4213302006 endingPage "10" @default.
- W4213302006 startingPage "1" @default.
- W4213302006 abstract "Computing a function on natural numbers assumes a fixed notation for natural numbers. Usually, we assume the binary or decimal notation. However, different notations might have different sets of effectively (PTIME) computable functions. We compare notations with respect to the set of effectively computable functions under a given notation. This approach gives an inclusion based partial ordering on notations, say ≤PTIME. We address the question whether the binary notation is, in some way, distinguished. We say that a notation σ is dense if the length of a σ-numeral for n is a function bounded by poly(log(n+1)). We show that the binary notation is a maximal element in ≤PTIME among dense notations. We also show that a dense notation σ allows to compute effectively a different set of functions than the binary notation only if σ has short numerals for large numbers." @default.
- W4213302006 created "2022-02-24" @default.
- W4213302006 creator A5011769838 @default.
- W4213302006 date "2022-05-01" @default.
- W4213302006 modified "2023-10-16" @default.
- W4213302006 title "On efficiency of notations for natural numbers" @default.
- W4213302006 cites W1572451808 @default.
- W4213302006 cites W1823991804 @default.
- W4213302006 cites W2056895958 @default.
- W4213302006 cites W2069792094 @default.
- W4213302006 cites W2083368929 @default.
- W4213302006 cites W2252118216 @default.
- W4213302006 cites W2963314138 @default.
- W4213302006 cites W4237363759 @default.
- W4213302006 cites W4246976488 @default.
- W4213302006 doi "https://doi.org/10.1016/j.tcs.2022.02.015" @default.
- W4213302006 hasPublicationYear "2022" @default.
- W4213302006 type Work @default.
- W4213302006 citedByCount "0" @default.
- W4213302006 crossrefType "journal-article" @default.
- W4213302006 hasAuthorship W4213302006A5011769838 @default.
- W4213302006 hasConcept C114614502 @default.
- W4213302006 hasConcept C118615104 @default.
- W4213302006 hasConcept C134026603 @default.
- W4213302006 hasConcept C14036430 @default.
- W4213302006 hasConcept C184264201 @default.
- W4213302006 hasConcept C311688 @default.
- W4213302006 hasConcept C33923547 @default.
- W4213302006 hasConcept C41008148 @default.
- W4213302006 hasConcept C45357846 @default.
- W4213302006 hasConcept C48372109 @default.
- W4213302006 hasConcept C65045869 @default.
- W4213302006 hasConcept C78458016 @default.
- W4213302006 hasConcept C86803240 @default.
- W4213302006 hasConcept C94375191 @default.
- W4213302006 hasConceptScore W4213302006C114614502 @default.
- W4213302006 hasConceptScore W4213302006C118615104 @default.
- W4213302006 hasConceptScore W4213302006C134026603 @default.
- W4213302006 hasConceptScore W4213302006C14036430 @default.
- W4213302006 hasConceptScore W4213302006C184264201 @default.
- W4213302006 hasConceptScore W4213302006C311688 @default.
- W4213302006 hasConceptScore W4213302006C33923547 @default.
- W4213302006 hasConceptScore W4213302006C41008148 @default.
- W4213302006 hasConceptScore W4213302006C45357846 @default.
- W4213302006 hasConceptScore W4213302006C48372109 @default.
- W4213302006 hasConceptScore W4213302006C65045869 @default.
- W4213302006 hasConceptScore W4213302006C78458016 @default.
- W4213302006 hasConceptScore W4213302006C86803240 @default.
- W4213302006 hasConceptScore W4213302006C94375191 @default.
- W4213302006 hasLocation W42133020061 @default.
- W4213302006 hasOpenAccess W4213302006 @default.
- W4213302006 hasPrimaryLocation W42133020061 @default.
- W4213302006 hasRelatedWork W1978042415 @default.
- W4213302006 hasRelatedWork W2061702728 @default.
- W4213302006 hasRelatedWork W2212471609 @default.
- W4213302006 hasRelatedWork W2243687886 @default.
- W4213302006 hasRelatedWork W2955814494 @default.
- W4213302006 hasRelatedWork W3147371952 @default.
- W4213302006 hasRelatedWork W4200278169 @default.
- W4213302006 hasRelatedWork W4213302006 @default.
- W4213302006 hasRelatedWork W4304607969 @default.
- W4213302006 hasRelatedWork W4375825519 @default.
- W4213302006 hasVolume "915" @default.
- W4213302006 isParatext "false" @default.
- W4213302006 isRetracted "false" @default.
- W4213302006 workType "article" @default.