{"id":"https://openalex.org/W2947482577","doi":"https://doi.org/10.24963/ijcai.2019/263","title":"A Modal Characterization Theorem for a Probabilistic Fuzzy Description Logic","display_name":"A Modal Characterization Theorem for a Probabilistic Fuzzy Description Logic","publication_year":2019,"publication_date":"2019-07-28","ids":{"openalex":"https://openalex.org/W2947482577","doi":"https://doi.org/10.24963/ijcai.2019/263","mag":"2947482577"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2019/263","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2019/263","pdf_url":"https://www.ijcai.org/proceedings/2019/0263.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2019/0263.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058881043","display_name":"P. Wild","orcid":"https://orcid.org/0000-0001-9796-9675"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Paul Wild","raw_affiliation_strings":["Friedrich-Alexander-University Erlangen-N\u00fcrnberg","Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-University Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073765060","display_name":"Lutz Schr\u00f6der","orcid":"https://orcid.org/0000-0002-3146-5906"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lutz Schr\u00f6der","raw_affiliation_strings":["Friedrich-Alexander-University Erlangen-N\u00fcrnberg","Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-University Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077171828","display_name":"Dirk Pattinson","orcid":"https://orcid.org/0000-0002-5832-6666"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dirk Pattinson","raw_affiliation_strings":["Australian National University, Canberra","Australian National University  Canberra"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Australian National University, Canberra","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Australian National University  Canberra","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103103785","display_name":"Barbara K\u00f6nig","orcid":"https://orcid.org/0000-0002-4193-2889"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara K\u00f6nig","raw_affiliation_strings":["Universit\u00e4t Duisburg-Essen","Universit\u00e4t Duisburg-essen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Duisburg-Essen","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Universit\u00e4t Duisburg-essen","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04232484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1900","last_page":"1906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9987999796867371,"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":0.9966999888420105,"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/multimodal-logic","display_name":"Multimodal logic","score":0.6428722143173218},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6275690197944641},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6137105226516724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.596031129360199},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5686129927635193},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.534094512462616},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.523873507976532},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.47348034381866455},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4178016781806946},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36651158332824707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29289406538009644},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2845509648323059},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2596169710159302},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.2584959864616394},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2176554799079895},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.1404350996017456}],"concepts":[{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.6428722143173218},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6275690197944641},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6137105226516724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.596031129360199},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5686129927635193},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.534094512462616},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.523873507976532},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.47348034381866455},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4178016781806946},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36651158332824707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29289406538009644},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2845509648323059},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2596169710159302},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.2584959864616394},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2176554799079895},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.1404350996017456},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.24963/ijcai.2019/263","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2019/263","pdf_url":"https://www.ijcai.org/proceedings/2019/0263.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1906.00784","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.00784","pdf_url":"https://arxiv.org/pdf/1906.00784","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2947482577","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1906.00784v2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/311594","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/311594","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 28th International Joint Conference on Artificial Intelligence, IJCAI 2019","raw_type":"Conference paper"},{"id":"doi:10.48550/arxiv.1906.00784","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.00784","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2019/263","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2019/263","pdf_url":"https://www.ijcai.org/proceedings/2019/0263.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2947482577.pdf","grobid_xml":"https://content.openalex.org/works/W2947482577.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W119971517","https://openalex.org/W173641204","https://openalex.org/W1488511264","https://openalex.org/W1517150411","https://openalex.org/W1531625469","https://openalex.org/W1539385324","https://openalex.org/W1576921484","https://openalex.org/W1632763991","https://openalex.org/W1965552673","https://openalex.org/W1975853435","https://openalex.org/W1976268573","https://openalex.org/W2038190934","https://openalex.org/W2054289094","https://openalex.org/W2081620669","https://openalex.org/W2088189323","https://openalex.org/W2108886305","https://openalex.org/W2123815850","https://openalex.org/W2132635174","https://openalex.org/W2160511154","https://openalex.org/W2213813753","https://openalex.org/W2337715273","https://openalex.org/W2401849006","https://openalex.org/W2524446667","https://openalex.org/W2614444040","https://openalex.org/W2790626676","https://openalex.org/W2962901248","https://openalex.org/W2963741069","https://openalex.org/W3150304496"],"related_works":["https://openalex.org/W2965281730","https://openalex.org/W2896897075","https://openalex.org/W2786452952","https://openalex.org/W3137024392","https://openalex.org/W2071208838","https://openalex.org/W2086275630","https://openalex.org/W2281137092","https://openalex.org/W3013295379","https://openalex.org/W2337715273","https://openalex.org/W3103382047","https://openalex.org/W2798414849","https://openalex.org/W35550565","https://openalex.org/W140111983","https://openalex.org/W2133505614","https://openalex.org/W159999488","https://openalex.org/W2110491962","https://openalex.org/W2137510543","https://openalex.org/W1721572253","https://openalex.org/W1536137640","https://openalex.org/W2522715943"],"abstract_inverted_index":{"The":[0,15],"fuzzy":[1,18,89,108],"modality":[2],"probably":[3],"is":[4,21,29,73,93],"interpreted":[5],"over":[6],"probabilistic":[7,17,24,60,88,107],"type":[8],"spaces":[9],"by":[10,101],"taking":[11],"expected":[12],"truth":[13],"values.":[14],"arising":[16],"description":[19,109],"logic":[20,52,72,91],"invariant":[22],"under":[23],"bisimilarity;":[25],"more":[26],"informatively,":[27],"it":[28],"non-expansive":[30,94],"wrt.":[31,95],"a":[32,44,59],"suitable":[33],"notion":[34],"of":[35,46,50,62,78,103],"behavioural":[36,96],"distance.":[37],"In":[38],"the":[39,47,63,75],"present":[40],"paper,":[41],"we":[42,82],"provide":[43],"characterization":[45],"expressive":[48],"power":[49],"this":[51,55],"based":[53],"on":[54],"observation:":[56],"We":[57],"prove":[58],"analogue":[61],"classical":[64],"van":[65],"Benthem":[66],"theorem,":[67],"which":[68],"states":[69],"that":[70,84,92],"modal":[71],"precisely":[74],"bisimulation-invariant":[76],"fragment":[77],"first-order":[79,90],"logic.":[80,110],"Specifically,":[81],"show":[83],"every":[85],"formula":[86],"in":[87,106],"distance":[97],"can":[98],"be":[99],"approximated":[100],"concepts":[102],"bounded":[104],"rank":[105]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
