{"id":"https://openalex.org/W1512868770","doi":"https://doi.org/10.1007/978-3-540-73208-2_2","title":"Quantitative Generalizations of Languages","display_name":"Quantitative Generalizations of Languages","publication_year":2007,"publication_date":"2007-09-12","ids":{"openalex":"https://openalex.org/W1512868770","doi":"https://doi.org/10.1007/978-3-540-73208-2_2","mag":"1512868770"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-73208-2_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73208-2_2","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/A5080555605","display_name":"Thomas A. Henzinger","orcid":"https://orcid.org/0000-0002-2985-7724"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH","US"],"is_corresponding":true,"raw_author_name":"Thomas A. Henzinger","raw_affiliation_strings":["EPFL, Switzerland, and University of California, Berkeley,","EPFL (Switzerland) and Univ. of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"EPFL, Switzerland, and University of California, Berkeley,","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I95457486"]},{"raw_affiliation_string":"EPFL (Switzerland) and Univ. of California, Berkeley","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080555605"],"corresponding_institution_ids":["https://openalex.org/I5124864","https://openalex.org/I95457486"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3411,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5837049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"20","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9991999864578247,"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":0.9987999796867371,"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/alphabet","display_name":"Alphabet","score":0.6615817546844482},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6387557983398438},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.5607910752296448},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5062143206596375},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.505429744720459},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.5013856887817383},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5000495910644531},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.47078651189804077},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3541160821914673},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2686741352081299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25429752469062805},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.19979730248451233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19212722778320312}],"concepts":[{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6615817546844482},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6387557983398438},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.5607910752296448},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5062143206596375},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.505429744720459},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.5013856887817383},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5000495910644531},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.47078651189804077},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3541160821914673},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2686741352081299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25429752469062805},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.19979730248451233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19212722778320312},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-73208-2_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73208-2_2","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":"Peace, Justice and strong institutions","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1495299640","https://openalex.org/W1551707370","https://openalex.org/W1589421353","https://openalex.org/W1601155136","https://openalex.org/W1757114815","https://openalex.org/W2142119680","https://openalex.org/W2476089118","https://openalex.org/W2506987745","https://openalex.org/W2561675875","https://openalex.org/W2914135999","https://openalex.org/W4236251966"],"related_works":["https://openalex.org/W3088566498","https://openalex.org/W4242459863","https://openalex.org/W127357700","https://openalex.org/W2724597727","https://openalex.org/W1480528870","https://openalex.org/W1600611831","https://openalex.org/W2508541108","https://openalex.org/W4243191745","https://openalex.org/W2315419748","https://openalex.org/W106154156"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}