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Axiomatizing Rectangular Grids with no Extra Non-unary Relations
dc.abstract.en | We construct a first-order formula phi such that all finite models of phi are non-narrow rectangular grids without using any binary relations other than the grid neighborship relations. As a corollary, we prove that a set A subseteq N is a spectrum of a formula which has only planar models if numbers n in A can be recognized by a non-deterministic Turing machine (or a one-dimensional cellular automaton) in time t(n) and space s(n), where t(n)s(n) <= n and $(n),s(n) = Omega(log(n)). |
dc.affiliation | Uniwersytet Warszawski |
dc.contributor.author | Kopczyński, Eryk |
dc.date.accessioned | 2024-01-24T16:59:48Z |
dc.date.available | 2024-01-24T16:59:48Z |
dc.date.issued | 2020 |
dc.description.finance | Publikacja bezkosztowa |
dc.description.number | 2 |
dc.description.volume | 176 |
dc.identifier.doi | 10.3233/FI-2020-1966 |
dc.identifier.issn | 0169-2968 |
dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/101398 |
dc.identifier.weblink | https://content.iospress.com/download?id=10.3233/FI-2020-1966 |
dc.language | eng |
dc.pbn.affiliation | computer and information sciences |
dc.relation.ispartof | Fundamenta Informaticae |
dc.relation.pages | 129-138 |
dc.rights | ClosedAccess |
dc.sciencecloud | nosend |
dc.title | Axiomatizing Rectangular Grids with no Extra Non-unary Relations |
dc.type | JournalArticle |
dspace.entity.type | Publication |