{"id":"https://openalex.org/W4290087507","doi":"https://doi.org/10.1007/978-3-031-13185-1_12","title":"The Lattice-Theoretic Essence of\u00a0Property Directed Reachability Analysis","display_name":"The Lattice-Theoretic Essence of\u00a0Property Directed Reachability Analysis","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4290087507","doi":"https://doi.org/10.1007/978-3-031-13185-1_12"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-13185-1_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-13185-1_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-13185-1_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-13185-1_12.pdf","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/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":true,"raw_author_name":"Mayuko Kori","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan","The Graduate University for Advanced Studies (SOKENDAI), Hayama, Japan"],"raw_orcid":"https://orcid.org/0000-0002-8495-5925","affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"The Graduate University for Advanced Studies (SOKENDAI), Hayama, Japan","institution_ids":["https://openalex.org/I200475212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057371246","display_name":"Natsuki Urabe","orcid":"https://orcid.org/0000-0002-1554-6618"},"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"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Natsuki Urabe","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0002-1554-6618","affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041431787","display_name":"Shin-ya Katsumata","orcid":"https://orcid.org/0000-0001-7529-5489"},"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"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shin-ya Katsumata","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0001-7529-5489","affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064121410","display_name":"Kohei Suenaga","orcid":"https://orcid.org/0000-0002-7466-8789"},"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":false,"raw_author_name":"Kohei Suenaga","raw_affiliation_strings":["Kyoto University, Kyoto, Japan"],"raw_orcid":"https://orcid.org/0000-0002-7466-8789","affiliations":[{"raw_affiliation_string":"Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"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":["National Institute of Informatics, Tokyo, Japan","The Graduate University for Advanced Studies (SOKENDAI), Hayama, Japan"],"raw_orcid":"https://orcid.org/0000-0002-8300-4650","affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"The Graduate University for Advanced Studies (SOKENDAI), Hayama, Japan","institution_ids":["https://openalex.org/I200475212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5003961991"],"corresponding_institution_ids":["https://openalex.org/I184597095","https://openalex.org/I200475212"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.3694,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83536615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"235","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9987000226974487,"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":0.9944000244140625,"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":0.8957735896110535},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6921345591545105},{"id":"https://openalex.org/keywords/haskell","display_name":"Haskell","score":0.6681059002876282},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6428797245025635},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6356397867202759},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.573124349117279},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.48409712314605713},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39541229605674744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35187220573425293},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3206745982170105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3037329912185669},{"id":"https://openalex.org/keywords/functional-programming","display_name":"Functional programming","score":0.20484799146652222}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8957735896110535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6921345591545105},{"id":"https://openalex.org/C2780624054","wikidata":"https://www.wikidata.org/wiki/Q34010","display_name":"Haskell","level":3,"score":0.6681059002876282},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6428797245025635},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6356397867202759},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.573124349117279},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.48409712314605713},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39541229605674744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35187220573425293},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3206745982170105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3037329912185669},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.20484799146652222},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-13185-1_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-13185-1_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-13185-1_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-13185-1_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-13185-1_12","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-13185-1_12.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5827056335","display_name":null,"funder_award_id":"22J21742","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5913768863","display_name":null,"funder_award_id":"JPMJER1603","funder_id":"https://openalex.org/F4320338112","funder_display_name":"Exploratory Research for Advanced Technology"},{"id":"https://openalex.org/G6322697463","display_name":"Enhancement of Formal Verification for IoT Systems","funder_award_id":"19H04084","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6718509927","display_name":null,"funder_award_id":"CREST","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8008078829","display_name":null,"funder_award_id":"JPMJCR2012","funder_id":"https://openalex.org/F4320338075","funder_display_name":"Core Research for Evolutional Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338112","display_name":"Exploratory Research for Advanced Technology","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4290087507.pdf","grobid_xml":"https://content.openalex.org/works/W4290087507.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W81626549","https://openalex.org/W1498432697","https://openalex.org/W1971383138","https://openalex.org/W2014764321","https://openalex.org/W2043100293","https://openalex.org/W2046213250","https://openalex.org/W2080526726","https://openalex.org/W2086788473","https://openalex.org/W2087403174","https://openalex.org/W2120713972","https://openalex.org/W2164096878","https://openalex.org/W2295934074","https://openalex.org/W2799098646","https://openalex.org/W2890208395","https://openalex.org/W2945072110","https://openalex.org/W2964191283","https://openalex.org/W2964568064","https://openalex.org/W3002244537","https://openalex.org/W3046454509","https://openalex.org/W3094043897","https://openalex.org/W3138459719","https://openalex.org/W3160560668","https://openalex.org/W4211144022","https://openalex.org/W4232277105","https://openalex.org/W4251799386","https://openalex.org/W4290087507","https://openalex.org/W6682867861"],"related_works":["https://openalex.org/W1757338326","https://openalex.org/W1607469218","https://openalex.org/W2595770312","https://openalex.org/W1511122221","https://openalex.org/W1601811574","https://openalex.org/W2127617483","https://openalex.org/W198090625","https://openalex.org/W1507894569","https://openalex.org/W1492541569","https://openalex.org/W4234755189"],"abstract_inverted_index":{"Abstract":[0],"We":[1,39,60],"present":[2,62],"LT-PDR":[3,16],",":[4],"a":[5,50,63],"lattice-theoretic":[6],"generalization":[7],"of":[8,20,27,44,54],"Bradley\u2019s":[9],"property":[10],"directed":[11],"reachability":[12],"analysis":[13],"(PDR)":[14],"algorithm.":[15],"identifies":[17],"the":[18,34],"essence":[19],"PDR":[21],"to":[22],"be":[23],"an":[24],"ingenious":[25],"combination":[26],"verification":[28],"and":[29,36,56],"refutation":[30],"attempts":[31],"based":[32],"on":[33],"Knaster\u2013Tarski":[35],"Kleene":[37],"theorems.":[38],"introduce":[40],"four":[41],"concrete":[42],"instances":[43],"LT-PDR,":[45,55],"derive":[46],"their":[47],"implementation":[48,53],"from":[49],"generic":[51],"Haskell":[52],"experimentally":[57],"evaluate":[58],"them.":[59],"also":[61],"categorical":[64],"structural":[65],"theory":[66],"that":[67],"derives":[68],"these":[69],"instances.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
