{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/89859"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/89859","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Leader election and renaming with optimal message complexity","abstract":"Asynchronous message-passing system is a standard distributed model, where n processors communicate over unreliable channels, controlled by a strong adaptive adversary. The asynchronous nature of the system and the fact that t<n2 processors may fail by crashing are the great obstacles for designing efficient algorithms. Leader election (test-and-set) and renaming are two fundamental distributed tasks. We prove that both tasks can be solved using expected O(n²) messages -- the same asymptotic complexity as a single all-to-all broadcast -- and that this message complexity is in fact optimal.","abstract_html":"Asynchronous message-passing system is a standard distributed model, where n processors communicate over unreliable channels, controlled by a strong adaptive adversary. The asynchronous nature of the system and the fact that t&lt;n2 processors may fail by crashing are the great obstacles for designing efficient algorithms. Leader election (test-and-set) and renaming are two fundamental distributed tasks. We prove that both tasks can be solved using expected O(n²) messages -- the same asymptotic complexity as a single all-to-all broadcast -- and that this message complexity is in fact optimal.","abstract_has_math":false,"creators":["Gelashvili, Rati"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.","school":null,"contributors":[],"advisors":["Nir Shavit."],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014","date_published":"2014","updated_at":"2026-07-22T22:21:26Z","subjects":["Electrical Engineering and Computer Science."],"languages":["eng"],"rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/89859","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Nir Shavit."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science."]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science."]},{"key":"dc:creator","label":"Author","values":["Gelashvili, Rati"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-09-19T19:37:56Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-09-19T19:37:56Z"]},{"key":"dc:date.issued","label":"Date","values":["2014"]},{"key":"dc:publisher","label":"Institution","values":["Massachusetts Institute of Technology"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Electrical Engineering and Computer Science."]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/89859"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2014.","This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.","Cataloged from student-submitted PDF version of thesis.","Includes bibliographical references (pages 65-68)."]},{"key":"dc:description.abstract","label":"Abstract","values":["Asynchronous message-passing system is a standard distributed model, where n processors communicate over unreliable channels, controlled by a strong adaptive adversary. The asynchronous nature of the system and the fact that t<n2 processors may fail by crashing are the great obstacles for designing efficient algorithms. Leader election (test-and-set) and renaming are two fundamental distributed tasks. We prove that both tasks can be solved using expected O(n²) messages -- the same asymptotic complexity as a single all-to-all broadcast -- and that this message complexity is in fact optimal."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["S.M."]},{"key":"dc:title","label":"Title","values":["Leader election and renaming with optimal message complexity"]}]}],"canonical_facts":{"dc:contributor.advisor":["Nir Shavit."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science."],"dc:contributor.other":["Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science."],"dc:creator":["Gelashvili, Rati"],"dc:date.accessioned":["2014-09-19T19:37:56Z"],"dc:date.available":["2014-09-19T19:37:56Z"],"dc:date.issued":["2014"],"dc:description":["Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2014.","This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.","Cataloged from student-submitted PDF version of thesis.","Includes bibliographical references (pages 65-68)."],"dc:description.abstract":["Asynchronous message-passing system is a standard distributed model, where n processors communicate over unreliable channels, controlled by a strong adaptive adversary. The asynchronous nature of the system and the fact that t<n2 processors may fail by crashing are the great obstacles for designing efficient algorithms. Leader election (test-and-set) and renaming are two fundamental distributed tasks. We prove that both tasks can be solved using expected O(n²) messages -- the same asymptotic complexity as a single all-to-all broadcast -- and that this message complexity is in fact optimal."],"dc:description.degree":["S.M."],"dc:identifier.uri":["http://hdl.handle.net/1721.1/89859"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Electrical Engineering and Computer Science."],"dc:title":["Leader election and renaming with optimal message complexity"],"dc:type":["Thesis"]},"updated_at":"2026-07-22T22:21:26Z"}