{"id":"https://openalex.org/W2962972216","doi":"https://doi.org/10.2178/jsl/1344862169","title":"A sound and complete axiomatization for Dynamic Topological Logic","display_name":"A sound and complete axiomatization for Dynamic Topological Logic","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2962972216","doi":"https://doi.org/10.2178/jsl/1344862169","mag":"2962972216"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1344862169","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1344862169","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","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/A5080309379","display_name":"David Fern\u00e1ndez\u2013Duque","orcid":"https://orcid.org/0000-0001-8604-4183"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"David Fern\u00e1ndez-Duque","raw_affiliation_strings":["Group for Computational Logic, Universidad de Sevilla, Ets de Ingenier\u00eda Inform\u00e1tica, Calle Reina Mercedes S/N, 41012 Sevilla, Spain, E-mail:"],"affiliations":[{"raw_affiliation_string":"Group for Computational Logic, Universidad de Sevilla, Ets de Ingenier\u00eda Inform\u00e1tica, Calle Reina Mercedes S/N, 41012 Sevilla, Spain, E-mail:","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080309379"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":0.4281,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.76421283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"77","issue":"3","first_page":"947","last_page":"969"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9897000193595886,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9882000088691711,"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/modality","display_name":"Modality (human\u2013computer interaction)","score":0.6340351700782776},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5870243906974792},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5606515407562256},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5357310771942139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.487004816532135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4478861689567566},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4165905714035034},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4085671007633209},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3710927963256836},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3384820818901062},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24818634986877441},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2111542820930481}],"concepts":[{"id":"https://openalex.org/C2780226545","wikidata":"https://www.wikidata.org/wiki/Q6888030","display_name":"Modality (human\u2013computer interaction)","level":2,"score":0.6340351700782776},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5870243906974792},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5606515407562256},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5357310771942139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.487004816532135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4478861689567566},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4165905714035034},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4085671007633209},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3710927963256836},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3384820818901062},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24818634986877441},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2111542820930481},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1344862169","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1344862169","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.8010","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.8010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1201.5162.pdf","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":21,"referenced_works":["https://openalex.org/W957426456","https://openalex.org/W1485990531","https://openalex.org/W1545756346","https://openalex.org/W1570959422","https://openalex.org/W1963725929","https://openalex.org/W1966660950","https://openalex.org/W1979519099","https://openalex.org/W1982302236","https://openalex.org/W1994846324","https://openalex.org/W1998261607","https://openalex.org/W2003311901","https://openalex.org/W2016293897","https://openalex.org/W2029611280","https://openalex.org/W2044928815","https://openalex.org/W2049989560","https://openalex.org/W2053300126","https://openalex.org/W2068303546","https://openalex.org/W2153716149","https://openalex.org/W2604713618","https://openalex.org/W2913222977","https://openalex.org/W6662912699"],"related_works":["https://openalex.org/W2385859805","https://openalex.org/W2530972254","https://openalex.org/W2374013449","https://openalex.org/W73545470","https://openalex.org/W2364381299","https://openalex.org/W2374430585","https://openalex.org/W3144423903","https://openalex.org/W2377397762","https://openalex.org/W2793967660","https://openalex.org/W2361654993"],"abstract_inverted_index":{"Abstract":[0],"Dynamic":[1],"Topological":[2],"Logic":[3],"(":[4],")":[5],"is":[6,16,98,103],"a":[7,39,69,80,86],"multimodal":[8],"system":[9],"for":[10,42,89],"reasoning":[11],"about":[12],"dynamical":[13,52],"systems.":[14],"It":[15],"defined":[17],"semantically":[18],"and,":[19],"as":[20],"such,":[21],"most":[22],"of":[23,37,46,50],"the":[24,28,35,43,48,65],"work":[25],"done":[26],"in":[27,79,105,109],"field":[29],"has":[30,54],"been":[31],"model-theoretic.":[32],"In":[33],"particular,":[34],"problem":[36],"finding":[38],"complete":[40],"axiomatization":[41,88],"full":[44],"language":[45,66],"over":[47,90],"class":[49],"all":[51],"systems":[53],"proven":[55],"to":[56,63,67],"be":[57],"quite":[58],"elusive.":[59],"Here":[60],"we":[61],"propose":[62],"enrich":[64],"include":[68],"polyadic":[70,101],"topological":[71],"modality,":[72],"originally":[73],"introduced":[74],"by":[75],"Dawar":[76],"and":[77,94],"Otto":[78],"different":[81],"context.":[82],"We":[83],"then":[84],"provide":[85],"sound":[87],"this":[91],"extended":[92],"language,":[93],"prove":[95],"that":[96],"it":[97],"complete.":[99],"The":[100],"modality":[102],"used":[104],"an":[106],"essential":[107],"way":[108],"our":[110],"proof.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-01-11T23:08:45.486102","created_date":"2025-10-10T00:00:00"}