{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T01:24:47Z","timestamp":1755221087943,"version":"3.43.0"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,4,30]]},"abstract":"<jats:p>Extended addressing machines (EAMs) have been introduced to represent higher-order sequential computations. Previously, we have shown that they are capable of simulating -- via an easy encoding -- the operational semantics of PCF, extended with explicit substitutions. In this paper we prove that the simulation is actually an equivalence: a PCF program terminates in a numeral exactly when the corresponding EAM terminates in the same numeral. It follows that the model of PCF obtained by quotienting typable EAMs by a suitable logical relation is adequate. From a definability result stating that every EAM in the model can be transformed into a PCF program with the same observational behavior, we conclude that the model is fully abstract for PCF.<\/jats:p><jats:p>arXiv admin note: text overlap with arXiv:2212.11147<\/jats:p>","DOI":"10.46298\/lmcs-21(3:17)2025","type":"journal-article","created":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T08:35:06Z","timestamp":1754642106000},"source":"Crossref","is-referenced-by-count":0,"title":["A Fully Abstract Model of PCF Based on Extended Addressing Machines"],"prefix":"10.46298","volume":"Volume 21, Issue 3","author":[{"given":"Benedetto","family":"Intrigila","sequence":"first","affiliation":[]},{"given":"Giulio","family":"Manzonetto","sequence":"additional","affiliation":[]},{"given":"Nicolas","family":"Munnich","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2025,8,7]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/2306.13756v5","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/2306.13756v5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T08:35:06Z","timestamp":1754642106000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/11532"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,7]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-21(3:17)2025","relation":{"has-preprint":[{"id-type":"arxiv","id":"2306.13756v3","asserted-by":"subject"},{"id-type":"arxiv","id":"2306.13756v2","asserted-by":"subject"},{"id-type":"arxiv","id":"2306.13756v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2306.13756","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2306.13756","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"value":"1860-5974","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,7]]},"article-number":"11532"}}