{"id":"https://openalex.org/W2045305767","doi":"https://doi.org/10.1016/s0168-0072(01)00050-1","title":"The set of the true regular protothetics formulas with partially ordered quantifiers is NEXPTIME-complete","display_name":"The set of the true regular protothetics formulas with partially ordered quantifiers is NEXPTIME-complete","publication_year":2001,"publication_date":"2001-12-01","ids":{"openalex":"https://openalex.org/W2045305767","doi":"https://doi.org/10.1016/s0168-0072(01)00050-1","mag":"2045305767"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(01)00050-1","doi":"https://doi.org/10.1016/s0168-0072(01)00050-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00050-1","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007201000501/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0168007201000501/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113873735","display_name":"Anatoly  Petrovich Beltiukov","orcid":"https://orcid.org/0000-0002-3433-9067","observed_orcids":["https://orcid.org/0000-0002-3433-9067"]},"institutions":[{"id":"https://openalex.org/I57570584","display_name":"Udmurt State University","ror":"https://ror.org/00yp6m473","country_code":"RU","type":"education","lineage":["https://openalex.org/I57570584"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Anatoly P. Beltiukov","raw_affiliation_strings":["Mathematics Department, Udmurt State University, Izhevsk, 426034, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Udmurt State University, Izhevsk, 426034, Russia","institution_ids":["https://openalex.org/I57570584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113873735"],"corresponding_institution_ids":["https://openalex.org/I57570584"],"apc_list":{"value":3520,"currency":"USD","value_usd":3520},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"113","issue":"1-3","first_page":"53","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.43950000405311584,"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":0.43950000405311584,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.2538999915122986,"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":0.11219999939203262,"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/nexptime-completeness","display_name":"NEXPTIME-completeness","score":0.8389999866485596},{"id":"https://openalex.org/keywords/boolean-formulas","display_name":"Boolean formulas","score":0.6880000233650208},{"id":"https://openalex.org/keywords/computational-complexity","display_name":"computational complexity","score":0.5180000066757202},{"id":"https://openalex.org/keywords/recognition-problem","display_name":"recognition problem","score":0.37299999594688416}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.799731969833374},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.6610766053199768},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.6227654218673706},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4930987060070038},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4636842608451843},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.4316525161266327},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.4192993640899658},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.41179215908050537},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.4106219708919525},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4047456979751587},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.18976542353630066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12110614776611328},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.101472407579422},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0168-0072(01)00050-1","doi":"https://doi.org/10.1016/s0168-0072(01)00050-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00050-1","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007201000501/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0168-0072(01)00050-1","doi":"https://doi.org/10.1016/s0168-0072(01)00050-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00050-1","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007201000501/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2045305767.pdf","grobid_xml":"https://content.openalex.org/works/W2045305767.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7095306503","https://openalex.org/W33659760","https://openalex.org/W4249436157","https://openalex.org/W4410787852","https://openalex.org/W7100870736","https://openalex.org/W2520196027","https://openalex.org/W7096734449","https://openalex.org/W2127083316","https://openalex.org/W2615046143","https://openalex.org/W2099081288"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2016-06-24T00:00:00"}