{"abstracts":[{"sha1":"6de0b5dc2aee58c92a08238ff4ed30b6ec661a34","content":"Let L be a quantifier predicate logic. Let K be a class of algebras. We say\nthat K is sensitive to L, if there is an algebra in K, that is L interpretable\ninto an another algebra, and this latter algebra is elementary equivalent to an\nalgebra not in K. (In particular, if L is L_{\\omega,\\omega}, this means that K\nis not elementary). We show that the class of neat reducts of every dimension\nis sensitive to quantifier free predicate logics with infinitary conjunctions;\nfor finite dimensions, we do not need infinite conjunctions.","mimetype":"application/x-latex","lang":"en"},{"sha1":"de6582f249d5ba1be6b226743b1c35e05b44f2d3","content":"Let L be a quantifier predicate logic. Let K be a class of algebras. We say\nthat K is sensitive to L, if there is an algebra in K, that is L interpretable\ninto an another algebra, and this latter algebra is elementary equivalent to an\nalgebra not in K. (In particular, if L is L_ω,ω, this means that K\nis not elementary). We show that the class of neat reducts of every dimension\nis sensitive to quantifier free predicate logics with infinitary conjunctions;\nfor finite dimensions, we do not need infinite conjunctions.","mimetype":"text/plain","lang":"en"}],"refs":[],"contribs":[{"index":0,"raw_name":"Tarek Sayed Ahmed","role":"author"}],"license_slug":"ARXIV-1.0","language":"en","version":"v1","ext_ids":{"arxiv":"1304.2931v1"},"release_year":2013,"release_date":"2013-04-09","release_stage":"submitted","release_type":"article","webcaptures":[],"filesets":[],"files":[{"release_ids":["o5zaskr2dnefjpcqmmvpiivdui"],"mimetype":"application/pdf","urls":[{"url":"https://archive.org/download/arxiv-1304.2931/1304.2931.pdf","rel":"archive"}],"sha256":"5cccddb253dccfed1123ef31e6e94af70f6e27f0d6c4bb797a3ad2484e477f06","sha1":"681e8db636bc812a70b84efb74453d78ae2cc98f","md5":"e890e27c872ed76c21e3f64ac3d51ac0","size":89839,"revision":"143b3b65-eef2-4382-8b0a-cc780cd7777a","ident":"htl3qqpa4nfejbgooaxj7ycb2a","state":"active"}],"work_id":"ab5l4v5kzjgfthn6yb6bookyvi","title":"Logics to which the class of neat reducts is sensitive to","state":"active","ident":"o5zaskr2dnefjpcqmmvpiivdui","revision":"d828c0c5-db98-4b26-b2f9-6d0c8a59a056","extra":{"arxiv":{"base_id":"1304.2931","categories":["math.LO"]}}}