{"id":"https://openalex.org/W2213862071","doi":"https://doi.org/10.1007/978-3-319-06686-8_3","title":"The Lattice of Definability. Origins, Recent Developments, and Further Directions","display_name":"The Lattice of Definability. Origins, Recent Developments, and Further Directions","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2213862071","doi":"https://doi.org/10.1007/978-3-319-06686-8_3","mag":"2213862071"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-06686-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06686-8_3","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/A5016522016","display_name":"A. L. Semenov","orcid":"https://orcid.org/0000-0002-1785-2387"},"institutions":[{"id":"https://openalex.org/I157338126","display_name":"Moscow State Pedagogical University","ror":"https://ror.org/03a9mf398","country_code":"RU","type":"education","lineage":["https://openalex.org/I157338126"]},{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexei Semenov","raw_affiliation_strings":["Dorodnicyn Computing Center, The Russian Academy of Sciences, Russia","Moscow Pedagogical State University, Russia","Moscow State University, Russia"],"affiliations":[{"raw_affiliation_string":"Dorodnicyn Computing Center, The Russian Academy of Sciences, Russia","institution_ids":["https://openalex.org/I2801535751","https://openalex.org/I4210143490"]},{"raw_affiliation_string":"Moscow Pedagogical State University, Russia","institution_ids":["https://openalex.org/I157338126"]},{"raw_affiliation_string":"Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103970346","display_name":"Sergey Fedorovich Soprunov","orcid":null},"institutions":[{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergey Soprunov","raw_affiliation_strings":["Dorodnicyn Computing Center, The Russian Academy of Sciences, Russia"],"affiliations":[{"raw_affiliation_string":"Dorodnicyn Computing Center, The Russian Academy of Sciences, Russia","institution_ids":["https://openalex.org/I2801535751","https://openalex.org/I4210143490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108549061","display_name":"Vladimir Uspensky","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir Uspensky","raw_affiliation_strings":["Moscow State University, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016522016"],"corresponding_institution_ids":["https://openalex.org/I157338126","https://openalex.org/I19880235","https://openalex.org/I2801535751","https://openalex.org/I4210143490"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8075,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87808128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"23","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.991100013256073,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9901999831199646,"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/successor-cardinal","display_name":"Successor cardinal","score":0.789813756942749},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6238751411437988},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5205075144767761},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.4982616901397705},{"id":"https://openalex.org/keywords/alternation","display_name":"Alternation (linguistics)","score":0.4856366217136383},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4571199119091034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42583349347114563},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.42001429200172424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39569365978240967},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3937118947505951},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3501737415790558},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34824395179748535},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05887135863304138}],"concepts":[{"id":"https://openalex.org/C75306776","wikidata":"https://www.wikidata.org/wiki/Q7632662","display_name":"Successor cardinal","level":2,"score":0.789813756942749},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6238751411437988},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5205075144767761},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.4982616901397705},{"id":"https://openalex.org/C26826806","wikidata":"https://www.wikidata.org/wiki/Q438358","display_name":"Alternation (linguistics)","level":2,"score":0.4856366217136383},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4571199119091034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42583349347114563},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.42001429200172424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39569365978240967},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3937118947505951},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3501737415790558},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34824395179748535},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05887135863304138},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-06686-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06686-8_3","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W79683317","https://openalex.org/W114225339","https://openalex.org/W144553962","https://openalex.org/W368092084","https://openalex.org/W643374858","https://openalex.org/W918790274","https://openalex.org/W1605337124","https://openalex.org/W1638226618","https://openalex.org/W1638452667","https://openalex.org/W1808457747","https://openalex.org/W1836864851","https://openalex.org/W1932818938","https://openalex.org/W1975036041","https://openalex.org/W1976495333","https://openalex.org/W1978653019","https://openalex.org/W1980775575","https://openalex.org/W1984063677","https://openalex.org/W1991527550","https://openalex.org/W1998927893","https://openalex.org/W2008644136","https://openalex.org/W2017782368","https://openalex.org/W2028815567","https://openalex.org/W2033524652","https://openalex.org/W2042215812","https://openalex.org/W2055173775","https://openalex.org/W2058971493","https://openalex.org/W2063769319","https://openalex.org/W2063770561","https://openalex.org/W2067813395","https://openalex.org/W2068523159","https://openalex.org/W2072057555","https://openalex.org/W2077704773","https://openalex.org/W2078267322","https://openalex.org/W2086025231","https://openalex.org/W2088323444","https://openalex.org/W2088959087","https://openalex.org/W2100984870","https://openalex.org/W2112210594","https://openalex.org/W2113989154","https://openalex.org/W2129340633","https://openalex.org/W2130136812","https://openalex.org/W2131663704","https://openalex.org/W2157624263","https://openalex.org/W2162583406","https://openalex.org/W2264894310","https://openalex.org/W2275166338","https://openalex.org/W2296075167","https://openalex.org/W2312324547","https://openalex.org/W2317286377","https://openalex.org/W2317970288","https://openalex.org/W2324483890","https://openalex.org/W2325835442","https://openalex.org/W2326953769","https://openalex.org/W2327456688","https://openalex.org/W2329251824","https://openalex.org/W2329589535","https://openalex.org/W2403653109","https://openalex.org/W2801752629","https://openalex.org/W2953151538","https://openalex.org/W2971268466","https://openalex.org/W2997694853","https://openalex.org/W3103323169","https://openalex.org/W3136418522","https://openalex.org/W4239879138","https://openalex.org/W4242289817","https://openalex.org/W4285719527","https://openalex.org/W4298290503","https://openalex.org/W6605766832","https://openalex.org/W6629806786","https://openalex.org/W6633089701"],"related_works":["https://openalex.org/W2473542051","https://openalex.org/W3123320268","https://openalex.org/W2994519609","https://openalex.org/W2726593096","https://openalex.org/W2054269721","https://openalex.org/W4235459050","https://openalex.org/W2767501615","https://openalex.org/W2390822611","https://openalex.org/W2908217413","https://openalex.org/W2965779302"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}