{"id":"https://openalex.org/W2726060486","doi":"https://doi.org/10.1007/978-3-662-55386-2_4","title":"On the Reflection Calculus with Partial Conservativity Operators","display_name":"On the Reflection Calculus with Partial Conservativity Operators","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2726060486","doi":"https://doi.org/10.1007/978-3-662-55386-2_4","mag":"2726060486"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-55386-2_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-55386-2_4","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000566596","display_name":"Lev D. Beklemishev","orcid":"https://orcid.org/0000-0002-2949-0600"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Lev D. Beklemishev","raw_affiliation_strings":["Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000566596"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801160905"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.2606,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90525298,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"48","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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":0.9965999722480774,"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/fragment","display_name":"Fragment (logic)","score":0.8123902678489685},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.7567905187606812},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.6341143846511841},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.620624303817749},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.585306704044342},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5682768225669861},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.5529388785362244},{"id":"https://openalex.org/keywords/reflection-principle","display_name":"Reflection principle (Wiener process)","score":0.5476977229118347},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5101680755615234},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.47520098090171814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4514086842536926},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43534350395202637},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.43388494849205017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40710920095443726},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37090808153152466},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2555168867111206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21454644203186035},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.20737862586975098},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.1780456304550171},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17786526679992676},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.14523440599441528}],"concepts":[{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.8123902678489685},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.7567905187606812},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6341143846511841},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.620624303817749},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.585306704044342},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5682768225669861},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.5529388785362244},{"id":"https://openalex.org/C118368358","wikidata":"https://www.wikidata.org/wiki/Q7307248","display_name":"Reflection principle (Wiener process)","level":5,"score":0.5476977229118347},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5101680755615234},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.47520098090171814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4514086842536926},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43534350395202637},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.43388494849205017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40710920095443726},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37090808153152466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2555168867111206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21454644203186035},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.20737862586975098},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.1780456304550171},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17786526679992676},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.14523440599441528},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-662-55386-2_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-55386-2_4","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1517710889","https://openalex.org/W1571003765","https://openalex.org/W1628975265","https://openalex.org/W1970654545","https://openalex.org/W1983227357","https://openalex.org/W1989844562","https://openalex.org/W1994332324","https://openalex.org/W2041395883","https://openalex.org/W2065285281","https://openalex.org/W2083623540","https://openalex.org/W2089432821","https://openalex.org/W2109732494","https://openalex.org/W2155188310","https://openalex.org/W2158570697","https://openalex.org/W2206760849","https://openalex.org/W2291376408","https://openalex.org/W2323349918","https://openalex.org/W2345253443","https://openalex.org/W2401653702","https://openalex.org/W2560908651","https://openalex.org/W2607208118","https://openalex.org/W2743117888","https://openalex.org/W2951954830","https://openalex.org/W2964204347","https://openalex.org/W3124538511","https://openalex.org/W3136553163","https://openalex.org/W4251222677","https://openalex.org/W4254004595","https://openalex.org/W4291166496"],"related_works":["https://openalex.org/W2063064015","https://openalex.org/W2171255643","https://openalex.org/W1616114834","https://openalex.org/W4280536433","https://openalex.org/W2034594774","https://openalex.org/W2006207208","https://openalex.org/W2171568542","https://openalex.org/W4300430427","https://openalex.org/W2284934992","https://openalex.org/W2071786581"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}