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Lang."],"published-print":{"date-parts":[[2022,10,31]]},"abstract":"<jats:p>The emergence of propositions-as-sessions, a Curry-Howard correspondence between propositions of Linear Logic and session types for concurrent processes, has settled the logical foundations of message-passing concurrency. Central to this approach is the resource consumption paradigm heralded by Linear Logic. In this paper, we investigate a new point in the design space of session type systems for message-passing concurrent programs. We identify O\u2019Hearn and Pym\u2019s Logic of Bunched Implications (BI) as a fruitful basis for an interpretation of the logic as a concurrent programming language. This leads to a treatment of non-linear resources that is radically different from existing approaches based on Linear Logic. We introduce a new \u03c0-calculus with sessions, called \u03c0BI; its most salient feature is a construct called spawn, which expresses new forms of sharing that are induced by structural principles in BI. We illustrate the expressiveness of \u03c0BI and lay out its fundamental theory: type preservation, deadlock-freedom, and weak normalization results for well-typed processes; an operationally sound and complete typed encoding of an affine \u03bb-calculus; and a non-interference result for access of resources.<\/jats:p>","DOI":"10.1145\/3563318","type":"journal-article","created":{"date-parts":[[2022,10,31]],"date-time":"2022-10-31T20:23:35Z","timestamp":1667247815000},"page":"841-869","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":6,"title":["A bunch of sessions: a propositions-as-sessions interpretation of bunched implications in channel-based concurrency"],"prefix":"10.1145","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5864-7278","authenticated-orcid":false,"given":"Dan","family":"Frumin","sequence":"first","affiliation":[{"name":"University of Groningen, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9179-5827","authenticated-orcid":false,"given":"Emanuele","family":"D\u2019Osualdo","sequence":"additional","affiliation":[{"name":"MPI-SWS, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8264-7371","authenticated-orcid":false,"given":"Bas","family":"van den Heuvel","sequence":"additional","affiliation":[{"name":"University of Groningen, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1452-6180","authenticated-orcid":false,"given":"Jorge A.","family":"P\u00e9rez","sequence":"additional","affiliation":[{"name":"University of Groningen, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2022,10,31]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2015.11.035"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2012.30"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-27836-8_16"},{"key":"e_1_2_1_4_1","volume-title":"Substructural Simple Type Theories for Separation and In-place Update. 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