{"id":"https://openalex.org/W1591239571","doi":"https://doi.org/10.1007/978-3-540-87531-4_26","title":"The Descriptive Complexity of Parity Games","display_name":"The Descriptive Complexity of Parity Games","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1591239571","doi":"https://doi.org/10.1007/978-3-540-87531-4_26","mag":"1591239571"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87531-4_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87531-4_26","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/A5080843415","display_name":"Anuj Dawar","orcid":"https://orcid.org/0000-0003-4014-8248"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Anuj Dawar","raw_affiliation_strings":["University of Cambridge Computer Laboratory, Cambridge, UK","University of Cambridge, Computer Laboratory, Cambridge, UK, CB3 0FD"],"affiliations":[{"raw_affiliation_string":"University of Cambridge Computer Laboratory, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"University of Cambridge, Computer Laboratory, Cambridge, UK, CB3 0FD","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010064604","display_name":"Erich Gr\u00e4del","orcid":"https://orcid.org/0000-0002-8950-9991"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Erich Gr\u00e4del","raw_affiliation_strings":["Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080843415"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1119,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.78482781,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"354","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9972000122070312,"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":0.9972000122070312,"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/T10142","display_name":"Formal Methods in Verification","score":0.9955000281333923,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9940000176429749,"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/parity","display_name":"Parity (physics)","score":0.5739379525184631},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5605599284172058},{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.5054657459259033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4896391034126282},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.47104883193969727},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.4589979648590088},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45243126153945923},{"id":"https://openalex.org/keywords/descriptive-complexity-theory","display_name":"Descriptive complexity theory","score":0.45107123255729675},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4391584098339081},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.41888749599456787},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.41013598442077637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39732715487480164},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.3790232241153717},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.33750373125076294},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.33037835359573364},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23467683792114258},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.17545321583747864}],"concepts":[{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.5739379525184631},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5605599284172058},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.5054657459259033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4896391034126282},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.47104883193969727},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.4589979648590088},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45243126153945923},{"id":"https://openalex.org/C133142742","wikidata":"https://www.wikidata.org/wiki/Q1200755","display_name":"Descriptive complexity theory","level":3,"score":0.45107123255729675},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4391584098339081},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.41888749599456787},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.41013598442077637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39732715487480164},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3790232241153717},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.33750373125076294},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.33037835359573364},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23467683792114258},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.17545321583747864},{"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-87531-4_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87531-4_26","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.146.1875","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.146.1875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cl.cam.ac.uk/users/ad260/papers/csl08.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.160.7750","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.7750","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.logic.rwth-aachen.de/pub/graedel/csl08.pdf","raw_type":"text"},{"id":"pmh:oai:publications.rwth-aachen.de:119924","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/119924","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer science logic : 22nd international workshop, CSL 2008, 17th Annual Conference of the EACSL, Bertinoro, Italy, September 16-19, 2008 ; proceedings / Michael Kaminski; Simone Martini (eds.)<br/>Computer science logic : 22. international workshop, CSL 2008, Bertinoro, Italy, 2008-09-16 - 2008-09-19<br/>17. Annual Conference of the EACSL, Bertinoro, Italy, 2008-09-16 - 2008-09-19","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W59373101","https://openalex.org/W1482193060","https://openalex.org/W1487444734","https://openalex.org/W1505081061","https://openalex.org/W1567990440","https://openalex.org/W1606555018","https://openalex.org/W1963823779","https://openalex.org/W1981996395","https://openalex.org/W1984930242","https://openalex.org/W2008770438","https://openalex.org/W2060375000","https://openalex.org/W2069058599","https://openalex.org/W2069462712","https://openalex.org/W2072816256","https://openalex.org/W2124324342","https://openalex.org/W2126399192","https://openalex.org/W2132638915","https://openalex.org/W2133853963","https://openalex.org/W2142133061","https://openalex.org/W2145019049","https://openalex.org/W2163940503","https://openalex.org/W2168498451","https://openalex.org/W2170933628","https://openalex.org/W2171491461","https://openalex.org/W2179506702","https://openalex.org/W2494787995","https://openalex.org/W3101910935","https://openalex.org/W4240256729","https://openalex.org/W4244848635","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2393457982","https://openalex.org/W2810752651","https://openalex.org/W2086275630","https://openalex.org/W1561726863","https://openalex.org/W2950451044","https://openalex.org/W149473297","https://openalex.org/W2121590963","https://openalex.org/W1687545754","https://openalex.org/W4294810627","https://openalex.org/W2977638645"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}