{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T20:16:53Z","timestamp":1725481013295},"reference-count":0,"publisher":"EasyChair","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>Towards the goal of correctness and reliability of hybrid systems, we continue our nonstandard static analysis program (with Suenaga and Sekine) where hybrid dynamics is turned into purely discrete one with explicit use of infinitesimals. While our previous results have focused on deductive verification by program logics, the current work aims at automation and enhanced scalability by extending abstract interpretation\u2014a technique known for its ample scalability and widespread use in various verification tools\u2014with infinitesimals. Our theoretical results include soundness and termination via uniform widening operators; and our prototype implementation successfully verifies some benchmark examples.<\/jats:p>","DOI":"10.29007\/rls3","type":"proceedings-article","created":{"date-parts":[[2018,1,23]],"date-time":"2018-01-23T18:03:02Z","timestamp":1516730582000},"page":"11--2","source":"Crossref","is-referenced-by-count":0,"title":["Abstract Interpretation with Infinitesimals: Towards Scalability in Nonstandard Static Analysis"],"prefix":"10.29007","volume":"37","author":[{"given":"Kengo","family":"Kido","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Swarat","family":"Chaudhuri","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ichiro","family":"Hasuo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"11545","event":{"name":"Symbolic and Numerical Methods for Reachability Analysis, 1st International Workshop, SNR 2015"},"container-title":["EPiC Series in Computing"],"original-title":[],"deposited":{"date-parts":[[2018,1,23]],"date-time":"2018-01-23T18:04:05Z","timestamp":1516730645000},"score":1,"resource":{"primary":{"URL":"https:\/\/easychair.org\/publications\/paper\/jTC"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"references-count":0,"URL":"https:\/\/doi.org\/10.29007\/rls3","relation":{},"ISSN":["2398-7340"],"issn-type":[{"type":"print","value":"2398-7340"}],"subject":[]}}