{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T06:40:53Z","timestamp":1648881653366},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2002,9,17]],"date-time":"2002-09-17T00:00:00Z","timestamp":1032220800000},"content-version":"unspecified","delay-in-days":47,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Struct. Comp. Sci."],"published-print":{"date-parts":[[2002,8]]},"abstract":"We construct a double category [Dscr ] of proof-nets in multiplicative linear logic (MLL). Its \nhorizontal arrows are MLL modules (subnets of well-formed nets), its vertical arrows model \nside-effects, and its double cells interpret the cut-elimination procedure. The categorical \nmodel is modular<\/jats:italic> in the sense that every computation of a composite module (\u03c01<\/jats:sub>; \n\u03c02<\/jats:sub>) factors out as the separate and interacting computations of the two \nsubcomponents \u03c01<\/jats:sub> and \u03c02<\/jats:sub>. This enables us to trace<\/jats:italic> \nMLL modules in the course of cut-elimination, and analyze their behaviour in time.<\/jats:p>","DOI":"10.1017\/s0960129501003498","type":"journal-article","created":{"date-parts":[[2002,9,20]],"date-time":"2002-09-20T12:50:31Z","timestamp":1032526231000},"page":"449-479","source":"Crossref","is-referenced-by-count":3,"title":["Double categories: a modular model of \nmultiplicative linear logic"],"prefix":"10.1017","volume":"12","author":[{"given":"PAUL-ANDR\u00c9","family":"MELLI\u00c8S","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2002,9,17]]},"container-title":["Mathematical Structures in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0960129501003498","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,3]],"date-time":"2019-04-03T19:33:14Z","timestamp":1554319994000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0960129501003498\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,8]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2002,8]]}},"alternative-id":["S0960129501003498"],"URL":"https:\/\/doi.org\/10.1017\/s0960129501003498","relation":{},"ISSN":["0960-1295","1469-8072"],"issn-type":[{"value":"0960-1295","type":"print"},{"value":"1469-8072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,8]]}}}