{"id":"https://openalex.org/W2072929390","doi":"https://doi.org/10.1145/2579819","title":"Pebble Weighted Automata and Weighted Logics","display_name":"Pebble Weighted Automata and Weighted Logics","publication_year":2014,"publication_date":"2014-04-01","ids":{"openalex":"https://openalex.org/W2072929390","doi":"https://doi.org/10.1145/2579819","mag":"2072929390"},"language":"en","primary_location":{"id":"doi:10.1145/2579819","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2579819","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00964994","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082538918","display_name":"Benedikt Bollig","orcid":"https://orcid.org/0000-0003-0985-6115"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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":true,"raw_author_name":"Benedikt Bollig","raw_affiliation_strings":["LSV, ENS Cachan, CNRS, Inria, France"],"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan, CNRS, Inria, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064833291","display_name":"Paul Gastin","orcid":"https://orcid.org/0000-0002-1313-7722"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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":"Paul Gastin","raw_affiliation_strings":["LSV, ENS Cachan, CNRS, Inria, France"],"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan, CNRS, Inria, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066787748","display_name":"Benjamin Monmege","orcid":"https://orcid.org/0000-0002-4717-9955"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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":"Benjamin Monmege","raw_affiliation_strings":["LSV, ENS Cachan, CNRS, Inria, France"],"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan, CNRS, Inria, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013125228","display_name":"Marc Zeitoun","orcid":"https://orcid.org/0000-0003-4101-8437"},"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/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Zeitoun","raw_affiliation_strings":["Universit\u00e9 de Bordeaux, LaBRI, CNRS, Inria, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Bordeaux, LaBRI, CNRS, Inria, France","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I1294671590","https://openalex.org/I4210142254"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082538918"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.0967,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78936585,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"2","first_page":"1","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/automaton","display_name":"Automaton","score":0.692330002784729},{"id":"https://openalex.org/keywords/pebble","display_name":"Pebble","score":0.5942137241363525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5122379660606384},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.5085595846176147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46917015314102173},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4524393081665039},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.439309686422348},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4236131012439728},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.41469651460647583},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3693488538265228},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.31696873903274536},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.25419336557388306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11026504635810852}],"concepts":[{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.692330002784729},{"id":"https://openalex.org/C2777760186","wikidata":"https://www.wikidata.org/wiki/Q14673","display_name":"Pebble","level":2,"score":0.5942137241363525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5122379660606384},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.5085595846176147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46917015314102173},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4524393081665039},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.439309686422348},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4236131012439728},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.41469651460647583},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3693488538265228},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31696873903274536},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.25419336557388306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11026504635810852},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C114793014","wikidata":"https://www.wikidata.org/wiki/Q52109","display_name":"Geomorphology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2579819","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2579819","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.590.2791","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.590.2791","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/PDF/BGMZ-tocl13.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00964994v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00964994","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Computational Logic, 2014, 15 (2), pp.15. &#x27E8;10.1145/2579819&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00964994v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00964994","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Computational Logic, 2014, 15 (2), pp.15. &#x27E8;10.1145/2579819&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322263","display_name":"Conseil R\u00e9gional, \u00cele-de-France","ror":"https://ror.org/04ry1rt27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W154248286","https://openalex.org/W347217945","https://openalex.org/W1491991866","https://openalex.org/W1541148313","https://openalex.org/W1557116728","https://openalex.org/W1643571618","https://openalex.org/W1743786725","https://openalex.org/W1965611063","https://openalex.org/W1971898721","https://openalex.org/W1975880448","https://openalex.org/W1978405212","https://openalex.org/W1983682288","https://openalex.org/W1984151763","https://openalex.org/W1991188222","https://openalex.org/W1994146759","https://openalex.org/W1994536619","https://openalex.org/W2002089154","https://openalex.org/W2005998857","https://openalex.org/W2013085432","https://openalex.org/W2013208146","https://openalex.org/W2014144845","https://openalex.org/W2015011216","https://openalex.org/W2015791837","https://openalex.org/W2035020702","https://openalex.org/W2040997422","https://openalex.org/W2044007894","https://openalex.org/W2054801208","https://openalex.org/W2056665285","https://openalex.org/W2087912140","https://openalex.org/W2096531026","https://openalex.org/W2111302825","https://openalex.org/W2131742729","https://openalex.org/W2162583406","https://openalex.org/W2293422809","https://openalex.org/W2561675875","https://openalex.org/W2953269645","https://openalex.org/W3103377605","https://openalex.org/W4237737356","https://openalex.org/W6758078258"],"related_works":["https://openalex.org/W4200088481","https://openalex.org/W2146545591","https://openalex.org/W2334606969","https://openalex.org/W2052387254","https://openalex.org/W2046565574","https://openalex.org/W2968367996","https://openalex.org/W2023283861","https://openalex.org/W2568450934","https://openalex.org/W3035035809","https://openalex.org/W145334972"],"abstract_inverted_index":{"We":[0,57,123],"introduce":[1],"new":[2,126],"classes":[3],"of":[4,17,32,46,53,73,100,129],"weighted":[5,24,65,110,114,118],"automata":[6,88],"on":[7],"words.":[8,102],"Equipped":[9],"with":[10,28],"pebbles,":[11],"they":[12,22],"go":[13],"beyond":[14],"the":[15,54,71,74,94,98],"class":[16,69],"recognizable":[18,131],"formal":[19],"power":[20],"series:":[21],"capture":[23],"first-order":[25],"logic":[26,119],"enriched":[27],"a":[29,83],"quantitative":[30],"version":[31],"transitive":[33],"closure.":[34],"In":[35],"contrast":[36],"to":[37,76],"previous":[38],"work,":[39],"this":[40],"calculus":[41],"allows":[42],"for":[43],"unrestricted":[44],"use":[45],"existential":[47],"and":[48,62,116],"universal":[49],"quantifications":[50],"over":[51],"positions":[52],"input":[55],"word.":[56],"actually":[58],"consider":[59],"both":[60],"two-way":[61,108],"one-way":[63,112],"pebble":[64,84,109,113],"automata.":[66],"The":[67],"latter":[68],"constrains":[70],"head":[72],"automaton":[75],"walk":[77],"left-to-right,":[78],"resetting":[79],"it":[80],"each":[81],"time":[82],"is":[85],"dropped.":[86],"Such":[87],"have":[89],"already":[90],"been":[91],"considered":[92],"in":[93,97],"Boolean":[95],"setting,":[96],"context":[99],"data":[101],"Our":[103],"main":[104],"result":[105],"states":[106],"that":[107],"automata,":[111,115],"our":[117],"are":[120],"expressively":[121],"equivalent.":[122],"also":[124],"give":[125],"logical":[127],"characterizations":[128],"standard":[130],"series.":[132]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
