{"id":"https://openalex.org/W1708936760","doi":"https://doi.org/10.1007/978-3-642-25070-5_11","title":"An Investigation of Hilbert\u2019s Implicit Reasoning through Proof Discovery in Idle-Time","display_name":"An Investigation of Hilbert\u2019s Implicit Reasoning through Proof Discovery in Idle-Time","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1708936760","doi":"https://doi.org/10.1007/978-3-642-25070-5_11","mag":"1708936760"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-25070-5_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-25070-5_11","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":"conference-paper","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/A5030897896","display_name":"Phil Scott","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Phil Scott","raw_affiliation_strings":["Centre for Intelligent Systems and their Applications, Informatics Forum, University of Edinburgh, 10 Crichton Street, Edinburgh, UK, EH8 9AB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Intelligent Systems and their Applications, Informatics Forum, University of Edinburgh, 10 Crichton Street, Edinburgh, UK, EH8 9AB","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026577518","display_name":"Jacques Fleuriot","orcid":"https://orcid.org/0000-0002-6867-9836"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jacques Fleuriot","raw_affiliation_strings":["Centre for Intelligent Systems and their Applications, Informatics Forum, University of Edinburgh, 10 Crichton Street, Edinburgh, UK, EH8 9AB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Intelligent Systems and their Applications, Informatics Forum, University of Edinburgh, 10 Crichton Street, Edinburgh, UK, EH8 9AB","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5392,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.60071288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"182","last_page":"200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9921000003814697,"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/T10142","display_name":"Formal Methods in Verification","score":0.9908999800682068,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8799809217453003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7713336944580078},{"id":"https://openalex.org/keywords/concurrency","display_name":"Concurrency","score":0.6720328330993652},{"id":"https://openalex.org/keywords/scripting-language","display_name":"Scripting language","score":0.5964545011520386},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.587070643901825},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5603734254837036},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.5222204923629761},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3986581563949585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3563324809074402},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3368438482284546},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3368089199066162},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3328542411327362},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21098467707633972},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14392048120498657},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07668691873550415}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8799809217453003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7713336944580078},{"id":"https://openalex.org/C193702766","wikidata":"https://www.wikidata.org/wiki/Q1414548","display_name":"Concurrency","level":2,"score":0.6720328330993652},{"id":"https://openalex.org/C61423126","wikidata":"https://www.wikidata.org/wiki/Q187432","display_name":"Scripting language","level":2,"score":0.5964545011520386},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.587070643901825},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5603734254837036},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.5222204923629761},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3986581563949585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3563324809074402},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3368438482284546},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3368089199066162},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3328542411327362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21098467707633972},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14392048120498657},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07668691873550415},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-25070-5_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-25070-5_11","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W14022547","https://openalex.org/W146121977","https://openalex.org/W1039203514","https://openalex.org/W1497011154","https://openalex.org/W1527970981","https://openalex.org/W1578750710","https://openalex.org/W1594381772","https://openalex.org/W1606604604","https://openalex.org/W1984214597","https://openalex.org/W1989919625","https://openalex.org/W2079201115","https://openalex.org/W2106099245","https://openalex.org/W2111697230","https://openalex.org/W2139827631","https://openalex.org/W2176475346","https://openalex.org/W2333159909","https://openalex.org/W2480995471","https://openalex.org/W2764433274","https://openalex.org/W4255626469","https://openalex.org/W4256124958"],"related_works":["https://openalex.org/W3106543884","https://openalex.org/W1524804222","https://openalex.org/W787793384","https://openalex.org/W1598473030","https://openalex.org/W1268136390","https://openalex.org/W2115401928","https://openalex.org/W2797874506","https://openalex.org/W1503487801","https://openalex.org/W2896474834","https://openalex.org/W1708936760"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}