{"id":"https://openalex.org/W2000363893","doi":"https://doi.org/10.3166/jancl.16.433-455","title":"On the relationships between theories of time granularity and the monadic second-order theory of one successor","display_name":"On the relationships between theories of time granularity and the monadic second-order theory of one successor","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2000363893","doi":"https://doi.org/10.3166/jancl.16.433-455","mag":"2000363893"},"language":"en","primary_location":{"id":"doi:10.3166/jancl.16.433-455","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.433-455","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00878425","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015702335","display_name":"Angelo Montanari","orcid":"https://orcid.org/0000-0002-4322-769X"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Angelo Montanari","raw_affiliation_strings":["a   Dipartimento di Matematica e Informatica , Universit\u00e0 di Udine (Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a   Dipartimento di Matematica e Informatica , Universit\u00e0 di Udine (Italy)","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000697088","display_name":"Adriano Peron","orcid":"https://orcid.org/0000-0002-7111-3171"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Adriano Peron","raw_affiliation_strings":["b   Dipartimento di Scienze Fisiche , Universit\u00e0 di Napoli \u2018Federico II' (Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"b   Dipartimento di Scienze Fisiche , Universit\u00e0 di Napoli \u2018Federico II' (Italy)","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105824253","display_name":"Gabriele Puppis","orcid":"https://orcid.org/0000-0001-9831-3264"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gabriele Puppis","raw_affiliation_strings":["a   Dipartimento di Matematica e Informatica , Universit\u00e0 di Udine (Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a   Dipartimento di Matematica e Informatica , Universit\u00e0 di Udine (Italy)","institution_ids":["https://openalex.org/I129043915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09526022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"3-4","first_page":"433","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.989300012588501,"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/T11567","display_name":"semigroups and automata theory","score":0.9866999983787537,"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/successor-cardinal","display_name":"Successor cardinal","score":0.9420733451843262},{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.9065061807632446},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6400788426399231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5697621703147888},{"id":"https://openalex.org/keywords/order-theory","display_name":"Order theory","score":0.5107338428497314},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.4282105267047882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41325607895851135},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35290274024009705},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3395386338233948},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3230421841144562},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.16171813011169434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10208427906036377}],"concepts":[{"id":"https://openalex.org/C75306776","wikidata":"https://www.wikidata.org/wiki/Q7632662","display_name":"Successor cardinal","level":2,"score":0.9420733451843262},{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.9065061807632446},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6400788426399231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5697621703147888},{"id":"https://openalex.org/C33135215","wikidata":"https://www.wikidata.org/wiki/Q24175351","display_name":"Order theory","level":2,"score":0.5107338428497314},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.4282105267047882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41325607895851135},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35290274024009705},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3395386338233948},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3230421841144562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.16171813011169434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10208427906036377},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3166/jancl.16.433-455","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.433-455","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00878425v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00878425","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":"Journal of Applied Non-Classical Logics, 2006, 16 (3-4), pp.433-455","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:air.uniud.it:11390/689618","is_oa":true,"landing_page_url":"http://hdl.handle.net/11390/689618","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:d1b1f6aa-9f67-4688-ad41-3a72c6c5ad06","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Computer Science","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00878425v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00878425","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":"Journal of Applied Non-Classical Logics, 2006, 16 (3-4), pp.433-455","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W874377","https://openalex.org/W145108188","https://openalex.org/W340391832","https://openalex.org/W1501465271","https://openalex.org/W1509710907","https://openalex.org/W1560050980","https://openalex.org/W1570009926","https://openalex.org/W1588969459","https://openalex.org/W1601793142","https://openalex.org/W1816620374","https://openalex.org/W1914273579","https://openalex.org/W2032489844","https://openalex.org/W2041135966","https://openalex.org/W2043801088","https://openalex.org/W2044107485","https://openalex.org/W2068398685","https://openalex.org/W2110758029","https://openalex.org/W2118675357","https://openalex.org/W2119984902","https://openalex.org/W2160049580","https://openalex.org/W2172904684","https://openalex.org/W4229924305","https://openalex.org/W4256502920","https://openalex.org/W4292330649"],"related_works":["https://openalex.org/W2473542051","https://openalex.org/W3123320268","https://openalex.org/W2994519609","https://openalex.org/W2726593096","https://openalex.org/W2166690231","https://openalex.org/W2950637221","https://openalex.org/W2952853187","https://openalex.org/W2259379241","https://openalex.org/W2085712248","https://openalex.org/W2145134817"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,52],"explore":[4],"the":[5,8,19,31,44,64,68],"connections":[6],"between":[7],"monadic":[9],"second-order":[10],"theory":[11,42,66],"of":[12,21,43,63,67,83],"one":[13],"successor":[14],"(MSO[<]":[15],"for":[16,24,34,38,59],"short)":[17],"and":[18,36],"theories":[20,82],"\u03c9-layered":[22],"structures":[23],"time":[25,84],"granularity.":[26],"We":[27],"first":[28],"prove":[29],"that":[30,37,54],"decision":[32,79],"problem":[33],"MSO[<]":[35],"a":[39,55],"suitable":[40,60],"first-order":[41],"upward":[45],"unbounded":[46,70],"layered":[47,71],"structure":[48,72],"are":[49],"inter-reducible.":[50],"Then,":[51],"show":[53],"similar":[56],"result":[57],"holds":[58],"chain":[61],"variants":[62],"MSO":[65],"totally":[69],"(this":[73],"allows":[74],"us":[75],"to":[76],"solve":[77],"some":[78],"problems":[80],"about":[81],"granularity":[85],"left":[86],"open":[87],"by":[88],"Franceschet":[89],"et":[90],"al.":[91],"[FRA":[92],"06]).":[93]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-06-24T00:00:00"}
