{"id":"https://openalex.org/W7167642558","doi":"https://doi.org/10.1007/s10703-026-00496-7","title":"Adjointness in property directed reachability analysis","display_name":"Adjointness in property directed reachability analysis","publication_year":2026,"publication_date":"2026-07-07","ids":{"openalex":"https://openalex.org/W7167642558","doi":"https://doi.org/10.1007/s10703-026-00496-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10703-026-00496-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10703-026-00496-7","pdf_url":null,"source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":"Formal Methods in System Design","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/A5003961991","display_name":"Mayuko Kori","orcid":"https://orcid.org/0000-0002-8495-5925"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Mayuko Kori","raw_affiliation_strings":["Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa Oiwakecho, Sakyo, Kyoto, 606-8502, Japan"],"raw_orcid":"https://orcid.org/0000-0002-8495-5925","affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa Oiwakecho, Sakyo, Kyoto, 606-8502, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018601753","display_name":"Flavio Ascari","orcid":"https://orcid.org/0000-0003-4624-9752"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Flavio Ascari","raw_affiliation_strings":["Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4624-9752","affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004609161","display_name":"Filippo Bonchi","orcid":"https://orcid.org/0000-0002-3433-723X"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Filippo Bonchi","raw_affiliation_strings":["Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3433-723X","affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101611155","display_name":"Roberto Bruni","orcid":"https://orcid.org/0000-0002-7771-4154"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Bruni","raw_affiliation_strings":["Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7771-4154","affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090195630","display_name":"Roberta Gori","orcid":"https://orcid.org/0000-0002-7424-9576"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberta Gori","raw_affiliation_strings":["Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7424-9576","affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013382452","display_name":"Ichiro Hasuo","orcid":"https://orcid.org/0000-0002-8300-4650"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]},{"id":"https://openalex.org/I200475212","display_name":"The Graduate University for Advanced Studies, SOKENDAI","ror":"https://ror.org/0516ah480","country_code":"JP","type":"education","lineage":["https://openalex.org/I200475212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ichiro Hasuo","raw_affiliation_strings":["Department of Informatics, SOKENDAI (The Graduate University for Advanced Studies), Shonan Village, Hayama, Kanagawa, 240-0193, Japan","National Institute of Informatics, Hitotsubashi 2-1-2, Chiyoda, Tokyo, 101-8430, Japan"],"raw_orcid":"https://orcid.org/0000-0002-8300-4650","affiliations":[{"raw_affiliation_string":"Department of Informatics, SOKENDAI (The Graduate University for Advanced Studies), Shonan Village, Hayama, Kanagawa, 240-0193, Japan","institution_ids":["https://openalex.org/I200475212"]},{"raw_affiliation_string":"National Institute of Informatics, Hitotsubashi 2-1-2, Chiyoda, Tokyo, 101-8430, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003961991"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":3490,"currency":"USD","value_usd":3490},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.85810435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"69","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.896399974822998,"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/T10142","display_name":"Formal Methods in Verification","score":0.896399974822998,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.038100000470876694,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.02280000038444996,"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/reachability","display_name":"Reachability","score":0.907800018787384},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7670000195503235},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.7049000263214111},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.45010000467300415},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.4113999903202057},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.37869998812675476},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.3109000027179718}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.907800018787384},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7670000195503235},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.7049000263214111},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5157999992370605},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4973999857902527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.489300012588501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4586000144481659},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.45010000467300415},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.4113999903202057},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3898000121116638},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.37869998812675476},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3061999976634979},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3028999865055084},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.2987000048160553},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.2524000108242035},{"id":"https://openalex.org/C17098449","wikidata":"https://www.wikidata.org/wiki/Q176814","display_name":"Partially observable Markov decision process","level":4,"score":0.250900000333786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10703-026-00496-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10703-026-00496-7","pdf_url":null,"source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":"Formal Methods in System Design","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7546958327293396,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W81626549","https://openalex.org/W1480909796","https://openalex.org/W1540013686","https://openalex.org/W1566132409","https://openalex.org/W1596431623","https://openalex.org/W1862398452","https://openalex.org/W2043100293","https://openalex.org/W2046160987","https://openalex.org/W2093397547","https://openalex.org/W2099684400","https://openalex.org/W2120713972","https://openalex.org/W2593267253","https://openalex.org/W2735021239","https://openalex.org/W2799098646","https://openalex.org/W2932972683","https://openalex.org/W2945072110","https://openalex.org/W2964256340","https://openalex.org/W2964318636","https://openalex.org/W2984738788","https://openalex.org/W3046454509","https://openalex.org/W3046677588","https://openalex.org/W3138459719","https://openalex.org/W3209011097","https://openalex.org/W4290087507","https://openalex.org/W4384573216"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-07-08T00:00:00"}