{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,5]],"date-time":"2025-06-05T12:05:48Z","timestamp":1749125148755},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[1990,3]]},"abstract":"<jats:p> This paper contains, among others, a concise proof (proof 6.2) of the following fact (theorem 2.7): <\/jats:p><jats:p> For every \u2200\u222aNeg-theory \u03a3 and every positive sentence \u03c6, [Formula: see text] It is demonstrated in this paper (corollary 5.2) that the necessary and sufficient condition for \u03c6, guaranteeing the truthfulness of the above equivalence for every \u03a3\u2286\u2200, is that \u03c6 is equivalent to a sentence which does not contain in a scope of negation an occurrence of a relation symbol other than the equality symbol. The proofs have been constructed using classical model-theoretic tools, thus supporting the thesis that classical logic is adequate for expressing and investigating non-monotonic reasoning patterns. <\/jats:p>","DOI":"10.1142\/s0129054190000059","type":"journal-article","created":{"date-parts":[[2004,11,28]],"date-time":"2004-11-28T21:14:37Z","timestamp":1101676477000},"page":"49-59","source":"Crossref","is-referenced-by-count":5,"title":["APPLICATIONS OF LYNDON HOMOMORPHISM THEOREMS TO THE THEORY OF MINIMAL MODELS"],"prefix":"10.1142","volume":"01","author":[{"given":"MAREK A.","family":"SUCHENEK","sequence":"first","affiliation":[{"name":"Department of Computer Science The Wichita State University Wichita, KS 67208\u20131595, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054190000059","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:48:36Z","timestamp":1565117316000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054190000059"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,3]]},"references-count":0,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[1990,3]]}},"alternative-id":["10.1142\/S0129054190000059"],"URL":"https:\/\/doi.org\/10.1142\/s0129054190000059","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,3]]}}}