{"id":"https://openalex.org/W2089138177","doi":"https://doi.org/10.1007/pl00008931","title":"Proving convergence of self-stabilizing systems using first-order rewriting and regular languages","display_name":"Proving convergence of self-stabilizing systems using first-order rewriting and regular languages","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W2089138177","doi":"https://doi.org/10.1007/pl00008931","mag":"2089138177"},"language":"en","primary_location":{"id":"doi:10.1007/pl00008931","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00008931","pdf_url":null,"source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111425188","display_name":"J. Beauquier","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J. Beauquier","raw_affiliation_strings":["LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France (e-mail: {jb,magniett}@lri.fr)\n, , , , , , FR","LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France (e-mail: {jb,magniett}@lri.fr)\n, , , , , , FR","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France#TAB#","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008504744","display_name":"B\u00e9atrice B\u00e9rard","orcid":"https://orcid.org/0000-0002-3314-1956"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. B\u00e9rard","raw_affiliation_strings":["LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France (e-mail: {berard,fribourg}@lsv.ens-cachan.fr)\n, , , , , , FR","LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France"],"affiliations":[{"raw_affiliation_string":"LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France (e-mail: {berard,fribourg}@lsv.ens-cachan.fr)\n, , , , , , FR","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058799763","display_name":"Laurent Fribourg","orcid":"https://orcid.org/0000-0002-5562-4078"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"L. Fribourg","raw_affiliation_strings":["LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France (e-mail: {berard,fribourg}@lsv.ens-cachan.fr)\n, , , , , , FR","LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France"],"affiliations":[{"raw_affiliation_string":"LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France (e-mail: {berard,fribourg}@lsv.ens-cachan.fr)\n, , , , , , FR","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LSV, CNRS UMR 8643, ENS de Cachan, 61 av. du Pr\u00e9s. Wilson, 94235 Cachan cedex, France","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063191626","display_name":"F. Magniette","orcid":"https://orcid.org/0000-0002-8330-5197"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Magniette","raw_affiliation_strings":["LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France (e-mail: {jb,magniett}@lri.fr)\n, , , , , , FR","LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France (e-mail: {jb,magniett}@lri.fr)\n, , , , , , FR","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"LRI, CNRS URA 410, Universit\u00e9 Paris-Sud 91405 Orsay cedex, France#TAB#","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111425188"],"corresponding_institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":1.0053,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84186851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"14","issue":"2","first_page":"83","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.8560354709625244},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.7569359540939331},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6821331977844238},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6330709457397461},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6164013147354126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5585532188415527},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5113899111747742},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.488002210855484},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.48129382729530334},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4724987745285034},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4692996144294739},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44511115550994873},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.41510283946990967},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41258376836776733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40250954031944275},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17163819074630737},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.06872686743736267}],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.8560354709625244},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.7569359540939331},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6821331977844238},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6330709457397461},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6164013147354126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5585532188415527},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5113899111747742},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.488002210855484},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.48129382729530334},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4724987745285034},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4692996144294739},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44511115550994873},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.41510283946990967},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41258376836776733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40250954031944275},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17163819074630737},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.06872686743736267},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/pl00008931","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00008931","pdf_url":null,"source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.110.1836","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.1836","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/PAPERS/PSGZ/BBFM-DISCOMP2000.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.31.9915","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.9915","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/PAPERS/BBFM-DISCOMP2000.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.42.4565","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.4565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/RAPPORTS_LSV/rr-lsv-2000-1.rr.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1481059806","https://openalex.org/W1481761413","https://openalex.org/W1493056035","https://openalex.org/W1496412704","https://openalex.org/W1513315908","https://openalex.org/W1586053457","https://openalex.org/W1598441059","https://openalex.org/W1901579102","https://openalex.org/W1926085771","https://openalex.org/W1954074785","https://openalex.org/W1970096085","https://openalex.org/W1970730976","https://openalex.org/W1976190666","https://openalex.org/W1983037164","https://openalex.org/W1990204120","https://openalex.org/W1993370765","https://openalex.org/W2005130403","https://openalex.org/W2030104206","https://openalex.org/W2048748607","https://openalex.org/W2055164757","https://openalex.org/W2088809694","https://openalex.org/W2091403433","https://openalex.org/W2111132249","https://openalex.org/W2123995178","https://openalex.org/W2136604606","https://openalex.org/W2294004164","https://openalex.org/W2294012738","https://openalex.org/W2751063908"],"related_works":["https://openalex.org/W2120204135","https://openalex.org/W174435416","https://openalex.org/W1796293478","https://openalex.org/W4302964898","https://openalex.org/W1805991041","https://openalex.org/W90089155","https://openalex.org/W2343223407","https://openalex.org/W1577182708","https://openalex.org/W1553288273","https://openalex.org/W2008781243"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}