{"id":"https://openalex.org/W1510102921","doi":"https://doi.org/10.1007/978-3-642-31485-8_1","title":"Proof Complexity of Non-classical Logics","display_name":"Proof Complexity of Non-classical Logics","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1510102921","doi":"https://doi.org/10.1007/978-3-642-31485-8_1","mag":"1510102921"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-31485-8_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31485-8_1","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/A5042128349","display_name":"Olaf Beyersdorff","orcid":"https://orcid.org/0000-0002-2870-1648"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Olaf Beyersdorff","raw_affiliation_strings":["Institut f\u00fcr Theoretische Informatik, Leibniz-Universit\u00e4t Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Informatik, Leibniz-Universit\u00e4t Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032241029","display_name":"Oliver Kutz","orcid":"https://orcid.org/0000-0003-1517-7354"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Oliver Kutz","raw_affiliation_strings":["Research Center on Spatial Cognition (SFB/TR 8), Universit\u00e4t Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Research Center on Spatial Cognition (SFB/TR 8), Universit\u00e4t Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042128349"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6336,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69266114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":1.0,"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":1.0,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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/proof-complexity","display_name":"Proof complexity","score":0.8695526123046875},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6636552810668945},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.6108942627906799},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.6091924905776978},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.5722580552101135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47194117307662964},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4273633360862732},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.42008885741233826},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4081592559814453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40472131967544556},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4040021598339081},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34194979071617126}],"concepts":[{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.8695526123046875},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6636552810668945},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.6108942627906799},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.6091924905776978},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.5722580552101135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47194117307662964},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4273633360862732},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.42008885741233826},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4081592559814453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40472131967544556},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4040021598339081},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34194979071617126},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-31485-8_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31485-8_1","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:eprints.whiterose.ac.uk:74771","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.724.1757","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.724.1757","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inf.unibz.it/%7Eokutz/resources/proofcomplexity.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":123,"referenced_works":["https://openalex.org/W14085832","https://openalex.org/W41330591","https://openalex.org/W41908546","https://openalex.org/W61355775","https://openalex.org/W76743840","https://openalex.org/W97223672","https://openalex.org/W187551483","https://openalex.org/W390829290","https://openalex.org/W392790838","https://openalex.org/W578063101","https://openalex.org/W586036434","https://openalex.org/W1485990531","https://openalex.org/W1489270299","https://openalex.org/W1490189322","https://openalex.org/W1504738844","https://openalex.org/W1516468647","https://openalex.org/W1537230380","https://openalex.org/W1543891730","https://openalex.org/W1553145376","https://openalex.org/W1556894108","https://openalex.org/W1566892080","https://openalex.org/W1603162778","https://openalex.org/W1606163819","https://openalex.org/W1607926272","https://openalex.org/W1678959094","https://openalex.org/W1699512023","https://openalex.org/W1761876784","https://openalex.org/W1940223960","https://openalex.org/W1942012432","https://openalex.org/W1963907636","https://openalex.org/W1964394232","https://openalex.org/W1965803162","https://openalex.org/W1972606747","https://openalex.org/W1974909295","https://openalex.org/W1988083342","https://openalex.org/W1996660205","https://openalex.org/W1997714358","https://openalex.org/W1999069928","https://openalex.org/W2000716540","https://openalex.org/W2001897405","https://openalex.org/W2008138636","https://openalex.org/W2012102524","https://openalex.org/W2012476164","https://openalex.org/W2016171120","https://openalex.org/W2017209655","https://openalex.org/W2019449346","https://openalex.org/W2019738341","https://openalex.org/W2023712626","https://openalex.org/W2026916148","https://openalex.org/W2029390834","https://openalex.org/W2038216920","https://openalex.org/W2039975294","https://openalex.org/W2039977878","https://openalex.org/W2042899834","https://openalex.org/W2044095368","https://openalex.org/W2044169892","https://openalex.org/W2044632231","https://openalex.org/W2048656820","https://openalex.org/W2062897452","https://openalex.org/W2068363706","https://openalex.org/W2069767473","https://openalex.org/W2073491323","https://openalex.org/W2074374872","https://openalex.org/W2075380453","https://openalex.org/W2075419333","https://openalex.org/W2080142817","https://openalex.org/W2081160992","https://openalex.org/W2084384424","https://openalex.org/W2084684966","https://openalex.org/W2085184180","https://openalex.org/W2089534194","https://openalex.org/W2090553806","https://openalex.org/W2093396771","https://openalex.org/W2100738443","https://openalex.org/W2101249878","https://openalex.org/W2102729667","https://openalex.org/W2107171883","https://openalex.org/W2108756969","https://openalex.org/W2109174551","https://openalex.org/W2111570288","https://openalex.org/W2114633883","https://openalex.org/W2114817374","https://openalex.org/W2116871986","https://openalex.org/W2126852230","https://openalex.org/W2132489129","https://openalex.org/W2146427628","https://openalex.org/W2154199572","https://openalex.org/W2155322595","https://openalex.org/W2155797483","https://openalex.org/W2156666265","https://openalex.org/W2158029166","https://openalex.org/W2159310931","https://openalex.org/W2165390183","https://openalex.org/W2166026605","https://openalex.org/W2169713712","https://openalex.org/W2171353564","https://openalex.org/W2249439733","https://openalex.org/W2286396437","https://openalex.org/W2294048490","https://openalex.org/W2323554188","https://openalex.org/W2406716656","https://openalex.org/W2571189784","https://openalex.org/W2584768186","https://openalex.org/W2610670723","https://openalex.org/W2747971893","https://openalex.org/W2908059907","https://openalex.org/W2908250557","https://openalex.org/W2913356905","https://openalex.org/W2970205057","https://openalex.org/W4211144022","https://openalex.org/W4214949915","https://openalex.org/W4230548537","https://openalex.org/W4234594696","https://openalex.org/W4238979413","https://openalex.org/W4245630182","https://openalex.org/W4246004534","https://openalex.org/W4248733413","https://openalex.org/W4251033482","https://openalex.org/W4251401320","https://openalex.org/W4388311772","https://openalex.org/W4388967858","https://openalex.org/W6630264728","https://openalex.org/W7058228130"],"related_works":["https://openalex.org/W2918427073","https://openalex.org/W1489270299","https://openalex.org/W2650704808","https://openalex.org/W2911183586","https://openalex.org/W4288046583","https://openalex.org/W2063200450","https://openalex.org/W4229027792","https://openalex.org/W3206179873","https://openalex.org/W2793983771","https://openalex.org/W2806893870"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}