{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:33:39Z","timestamp":1759638819585,"version":"3.41.2"},"reference-count":1,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2015,8,18]],"date-time":"2015-08-18T00:00:00Z","timestamp":1439856000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We extend the Multi-lane Spatial Logic MLSL, introduced in previous work for\nproving the safety (collision freedom) of traffic maneuvers on a multi-lane\nhighway, by length measurement and dynamic modalities. We investigate the proof\ntheory of this extension, called EMLSL. To this end, we prove the\nundecidability of EMLSL but nevertheless present a sound proof system which\nallows for reasoning about the safety of traffic situations. We illustrate the\nlatter by giving a formal proof for the reservation lemma we could only prove\ninformally before. Furthermore we prove a basic theorem showing that the length\nmeasurement is independent from the number of lanes on the highway.<\/jats:p>","DOI":"10.2168\/lmcs-11(3:4)2015","type":"journal-article","created":{"date-parts":[[2016,11,21]],"date-time":"2016-11-21T13:46:02Z","timestamp":1479735962000},"source":"Crossref","is-referenced-by-count":14,"title":["Proof Theory of a Multi-Lane Spatial Logic"],"prefix":"10.46298","volume":"Volume 11, Issue 3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2913-7943","authenticated-orcid":false,"given":"Sven","family":"Linker","sequence":"first","affiliation":[]},{"given":"Martin","family":"Hilscher","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2015,8,18]]},"reference":[{"key":"974:not-found"}],"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/1580\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/1580\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T20:07:05Z","timestamp":1681243625000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/1580"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,18]]},"references-count":1,"URL":"https:\/\/doi.org\/10.2168\/lmcs-11(3:4)2015","relation":{"is-same-as":[{"id-type":"arxiv","id":"1504.06986","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1504.06986","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2015,8,18]]},"article-number":"1580"}}