{"id":152478,"date":"2000-08-01T00:00:00","date_gmt":"2000-08-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/region-analysis-and-a-p-calculus-with-groups\/"},"modified":"2018-10-16T20:10:39","modified_gmt":"2018-10-17T03:10:39","slug":"region-analysis-and-a-pi-calculus-with-groups-2002","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/region-analysis-and-a-pi-calculus-with-groups-2002\/","title":{"rendered":"Region Analysis and a \u00cf&#8221;-Calculus with Groups"},"content":{"rendered":"<div class=\"asset-content\">\n<p>We show that the typed region calculus of Tofte and Talpin can be encoded in a typed \u03c0-calculus equipped with name groups and a novel effect analysis. In the region calculus, each boxed value has a statically determined region in which it is stored. Regions are allocated and de-allocated according to a stack discipline, thus improving memory management. The idea of name groups arose in the typed ambient calculus of Cardelli, Ghelli, and Gordon. There, and in our \u03c0-calculus, each name has a statically determined group to which it belongs. Groups allow for type-checking of certain mobility properties, as well as effect analyses. Our encoding makes precise the intuitive correspondence between regions and groups. We propose a new formulation of the type preservation property of the region calculus, which avoids Tofte and Talpin&#8217;s rather elaborate co-inductive formulation. We prove the encoding preserves the static and dynamic semantics of the region calculus. Our proof of the correctness of region de-allocation shows it to be a specific instance of a general garbage collection principle for the \u03c0-calculus with effects. We propose new equational laws for <i>letregion<\/i>, analogous to scope mobility laws in the \u03c0-calculus, and show them sound in our semantics.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We show that the typed region calculus of Tofte and Talpin can be encoded in a typed \u03c0-calculus equipped with name groups and a novel effect analysis. In the region calculus, each boxed value has a statically determined region in which it is stored. Regions are allocated and de-allocated according to a stack discipline, thus [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"Cambridge University Press","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"Journal of Functional Programming","msr_number":"MSR-TR-2000-57","msr_organization":"","msr_pages_string":"229-292","msr_page_range_start":"229","msr_page_range_end":"292","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"","msr_doi":"10.1017\/S0956796801004270","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"","msr_pubmed_id":"","msr_other_authors":"Silvano Dal Zilio, Andrew D. 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