{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T01:13:54Z","timestamp":1759799634658,"version":"build-2065373602"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,6,8]]},"abstract":"<jats:p>We show that the extension of Presburger arithmetic by a quadratic generalised polynomial of a specific form is undecidable.<\/jats:p>","DOI":"10.46298\/lmcs-21(4:1)2025","type":"journal-article","created":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T00:10:06Z","timestamp":1759795806000},"source":"Crossref","is-referenced-by-count":0,"title":["Decidability of extensions of Presburger arithmetic by generalised polynomials"],"prefix":"10.46298","volume":"Volume 21, Issue 4","author":[{"given":"Jakub","family":"Konieczny","sequence":"first","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2025,10,7]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/2402.09647v4","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/2402.09647v4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T00:10:07Z","timestamp":1759795807000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/14726"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,7]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-21(4:1)2025","relation":{"has-preprint":[{"id-type":"arxiv","id":"2402.09647v2","asserted-by":"subject"},{"id-type":"arxiv","id":"2402.09647v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2402.09647","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2402.09647","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"value":"1860-5974","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10,7]]},"article-number":"14726"}}