{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,4]],"date-time":"2024-02-04T07:40:21Z","timestamp":1707032421273},"reference-count":8,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":18089,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1964,9]]},"abstract":"<jats:p>We consider the results of adding to a basic modal system T<jats:sup>0<\/jats:sup>the axioms G1.<jats:italic>CLpp;<\/jats:italic>P<jats:sub>n<\/jats:sub>.<jats:italic>CL<jats:sub>n<\/jats:sub>pL<jats:sup>n+1<\/jats:sup>p<\/jats:italic>; B<jats:sub>n<\/jats:sub>.<jats:italic>CpL<jats:sup>n<\/jats:sup>Mp<\/jats:italic>, where n \u2267 1<jats:sup>1<\/jats:sup>, in all combinations. The method of Meredith's [7] will be extended to get models of these systems in lower predicate calculus (LPC) with a constant binary relation,<jats:italic>U<\/jats:italic>. Most of the results were already obtained in [1]\u2013[6], though systems as in (i) and (ii) below were not investigated, except that S4<jats:sup>0<\/jats:sup>in (ii) was mentioned in [1]. However some repetition may be excused in view of the simplicity with which the results are obtained by the present method.<\/jats:p>","DOI":"10.2307\/2271619","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T20:25:18Z","timestamp":1146947118000},"page":"125-128","source":"Crossref","is-referenced-by-count":0,"title":["Ten modal models"],"prefix":"10.1017","volume":"29","author":[{"given":"Ivo","family":"Thomas","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200116305_ref007","doi-asserted-by":"crossref","volume-title":"Interpretations of different modal logics in the \u2018property calculus\u2019","author":"Meredith","DOI":"10.1093\/oso\/9780198240600.003.0007"},{"key":"S0022481200116305_ref002","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093957159"},{"key":"S0022481200116305_ref001","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093957059"},{"key":"S0022481200116305_ref008","doi-asserted-by":"publisher","DOI":"10.3406\/phlou.1950.4310"},{"key":"S0022481200116305_ref006","unstructured":"Thomas Ivo , Modal Systems in the neighbourhood of T. Notre Dame Journal of Formal Logic, forthcoming."},{"key":"S0022481200116305_ref004","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093957507"},{"key":"S0022481200116305_ref003","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093957240"},{"key":"S0022481200116305_ref005","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093957582"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200116305","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,4]],"date-time":"2024-02-04T07:21:33Z","timestamp":1707031293000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200116305\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1964,9]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1964,9]]}},"alternative-id":["S0022481200116305"],"URL":"https:\/\/doi.org\/10.2307\/2271619","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1964,9]]}}}