{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:23:29Z","timestamp":1777645409205,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["FI"],"published-print":{"date-parts":[[2020,12,18]]},"abstract":"<jats:p>We construct a first-order formula \u03c6 such that all finite models of \u03c6 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 \u2286 \u2115 is a spectrum of a formula which has only planar models if numbers n \u2208 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) \u2264 n and t(n); s(n) = \u03a9(log(n)).<\/jats:p>","DOI":"10.3233\/fi-2020-1966","type":"journal-article","created":{"date-parts":[[2020,12,22]],"date-time":"2020-12-22T14:57:23Z","timestamp":1608649043000},"page":"129-138","source":"Crossref","is-referenced-by-count":0,"title":["Axiomatizing Rectangular Grids with no Extra Non-unary Relations"],"prefix":"10.1177","volume":"176","author":[{"given":"Eryk","family":"Kopczy\u0144ski","sequence":"first","affiliation":[{"name":"Institute of Informatics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland. erykk@mimuw.edu.pl"}]}],"member":"179","container-title":["Fundamenta Informaticae"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/FI-2020-1966","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:09Z","timestamp":1777444329000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/FI-2020-1966"}},"subtitle":[],"editor":[{"given":"Kuntal","family":"Ghosh","sequence":"additional","affiliation":[]},{"given":"Sushmita","family":"Mitra","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2020,12,18]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.3233\/fi-2020-1966","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,12,18]]}}}