{"id":"https://openalex.org/W1853542672","doi":"https://doi.org/10.1007/3-540-10856-4_73","title":"A survey of some recent results on computational complexity in weak theories of arithmetic","display_name":"A survey of some recent results on computational complexity in weak theories of arithmetic","publication_year":1981,"publication_date":"1981-01-01","ids":{"openalex":"https://openalex.org/W1853542672","doi":"https://doi.org/10.1007/3-540-10856-4_73","mag":"1853542672"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-10856-4_73","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-10856-4_73","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/A5113061663","display_name":"Deborah Joseph","orcid":null},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Deborah Joseph","raw_affiliation_strings":["Computer Science Department, Cornell University, Ithaca, USA","Cornell University"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032573238","display_name":"Paul R. Young","orcid":"https://orcid.org/0000-0002-3707-2441"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Young","raw_affiliation_strings":["Computer Sciences and Mathematics Departments, Purdue University, Lafayette, USA","Purdue University"],"affiliations":[{"raw_affiliation_string":"Computer Sciences and Mathematics Departments, Purdue University, Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Purdue University","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113061663"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.1558,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.94552058,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"46","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987999796867371,"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/T11130","display_name":"Coding theory and cryptography","score":0.9984999895095825,"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/computer-science","display_name":"Computer science","score":0.790635347366333},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6137403845787048},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.45120394229888916},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43840524554252625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2993816137313843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16663804650306702}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.790635347366333},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6137403845787048},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.45120394229888916},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43840524554252625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2993816137313843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16663804650306702}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-10856-4_73","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-10856-4_73","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:ecommons.cornell.edu:1813/6341","is_oa":false,"landing_page_url":"https://hdl.handle.net/1813/6341","pdf_url":null,"source":{"id":"https://openalex.org/S4306400757","display_name":"eCommons (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"technical report"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W71368917","https://openalex.org/W83512845","https://openalex.org/W99744800","https://openalex.org/W143693242","https://openalex.org/W168951100","https://openalex.org/W202234040","https://openalex.org/W254902769","https://openalex.org/W311063083","https://openalex.org/W1484200610","https://openalex.org/W1575814589","https://openalex.org/W1597834884","https://openalex.org/W1608492025","https://openalex.org/W1969397726","https://openalex.org/W1972845724","https://openalex.org/W1982932990","https://openalex.org/W1987939949","https://openalex.org/W1989073291","https://openalex.org/W1996469205","https://openalex.org/W1997100055","https://openalex.org/W2005638249","https://openalex.org/W2006220572","https://openalex.org/W2009597086","https://openalex.org/W2009621880","https://openalex.org/W2011569379","https://openalex.org/W2013455832","https://openalex.org/W2018323941","https://openalex.org/W2022873073","https://openalex.org/W2023856277","https://openalex.org/W2035004935","https://openalex.org/W2060012383","https://openalex.org/W2065251436","https://openalex.org/W2078123020","https://openalex.org/W2084685234","https://openalex.org/W2085732312","https://openalex.org/W2086060278","https://openalex.org/W2089442854","https://openalex.org/W2090186532","https://openalex.org/W2103196242","https://openalex.org/W2137946954","https://openalex.org/W2147516277","https://openalex.org/W2152058358","https://openalex.org/W2401610261","https://openalex.org/W2562830775","https://openalex.org/W2795581717","https://openalex.org/W2905135108","https://openalex.org/W2969873114","https://openalex.org/W3017630071","https://openalex.org/W4250441822","https://openalex.org/W4285719527","https://openalex.org/W6608215556","https://openalex.org/W6635897266","https://openalex.org/W6655058782","https://openalex.org/W7061368475"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880","https://openalex.org/W1596801655","https://openalex.org/W2359140296"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}