{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T17:44:02Z","timestamp":1725558242893},"reference-count":0,"publisher":"EasyChair","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>In 1994,<\/jats:p><jats:p>Bachmair, Ganzinger, and Waldmann introduced the hierarchical<\/jats:p><jats:p>superposition calculus as a generalization of the superposition<\/jats:p><jats:p>calculus for black-box style theory reasoning.<\/jats:p><jats:p>Their calculus works in a framework of hierarchic specifications.<\/jats:p><jats:p>It tries to prove the<\/jats:p><jats:p>unsatisfiability of a set of clauses with respect to interpretations<\/jats:p><jats:p>that extend a background model such as the integers with linear arithmetic<\/jats:p><jats:p>conservatively, that is, without<\/jats:p><jats:p>identifying distinct elements of old sorts (\"confusion\") and without<\/jats:p><jats:p>adding new elements to old sorts (\"junk\").<\/jats:p><jats:p>We show how the calculus can be improved,<\/jats:p><jats:p>report on practical experiments,<\/jats:p><jats:p>and present a new completeness result for<\/jats:p><jats:p>non-compact classes of background models<\/jats:p><jats:p>(i.e., linear integer or rational arithmetic restricted to<\/jats:p><jats:p>standard models).<\/jats:p>","DOI":"10.29007\/w9vg","type":"proceedings-article","created":{"date-parts":[[2018,1,23]],"date-time":"2018-01-23T23:02:55Z","timestamp":1516748575000},"page":"1--1","source":"Crossref","is-referenced-by-count":0,"title":["Hierarchic Superposition Revisited"],"prefix":"10.29007","volume":"31","author":[{"given":"Uwe","family":"Waldmann","sequence":"first","affiliation":[]}],"member":"11545","event":{"name":"PAAR-2014. 4th Workshop on Practical Aspects of Automated Reasoning"},"container-title":["EPiC Series in Computing"],"original-title":[],"deposited":{"date-parts":[[2018,1,23]],"date-time":"2018-01-23T23:02:57Z","timestamp":1516748577000},"score":1,"resource":{"primary":{"URL":"https:\/\/easychair.org\/publications\/paper\/vlTw"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"references-count":0,"URL":"https:\/\/doi.org\/10.29007\/w9vg","relation":{},"ISSN":["2398-7340"],"issn-type":[{"type":"print","value":"2398-7340"}],"subject":[]}}