{"id":"https://openalex.org/W2119109113","doi":"https://doi.org/10.1007/3-540-45650-3_21","title":"A General Theory of Deduction,Induction,and Learning","display_name":"A General Theory of Deduction,Induction,and Learning","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2119109113","doi":"https://doi.org/10.1007/3-540-45650-3_21","mag":"2119109113"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45650-3_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45650-3_21","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/A5027881741","display_name":"\u00c9ric Martin","orcid":"https://orcid.org/0000-0001-8832-7478"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Eric Martin","raw_affiliation_strings":["School of Computer Science and Engineering, The University of New South Wales, 2052, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, The University of New South Wales, 2052, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008299613","display_name":"Arun Sharma","orcid":"https://orcid.org/0000-0002-5794-733X"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Arun Sharma","raw_affiliation_strings":["School of Computer Science and Engineering, The University of New South Wales, 2052, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, The University of New South Wales, 2052, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085103227","display_name":"Frank Stephan","orcid":"https://orcid.org/0000-0001-9152-1706"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Stephan","raw_affiliation_strings":["Universit\u00e4t Heidelberg, 69121, Heidelberg, Germany"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Heidelberg, 69121, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027881741"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.4614,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.83786274,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"228","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9997000098228455,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9997000098228455,"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":0.9977999925613403,"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/T11567","display_name":"semigroups and automata theory","score":0.9947999715805054,"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/hierarchy","display_name":"Hierarchy","score":0.7887089252471924},{"id":"https://openalex.org/keywords/inductive-reasoning","display_name":"Inductive reasoning","score":0.6078450679779053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4895676076412201},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.4890621602535248},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.47926661372184753},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.47788798809051514},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.4714292883872986},{"id":"https://openalex.org/keywords/logical-consequence","display_name":"Logical consequence","score":0.4486553370952606},{"id":"https://openalex.org/keywords/mathematical-induction","display_name":"Mathematical induction","score":0.44304826855659485},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.42229151725769043},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.41442224383354187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40085679292678833},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3539634346961975},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.347810298204422},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3468761444091797},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23881292343139648},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12988251447677612}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7887089252471924},{"id":"https://openalex.org/C21563000","wikidata":"https://www.wikidata.org/wiki/Q484511","display_name":"Inductive reasoning","level":2,"score":0.6078450679779053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4895676076412201},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.4890621602535248},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.47926661372184753},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.47788798809051514},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.4714292883872986},{"id":"https://openalex.org/C134752490","wikidata":"https://www.wikidata.org/wiki/Q374182","display_name":"Logical consequence","level":2,"score":0.4486553370952606},{"id":"https://openalex.org/C206743973","wikidata":"https://www.wikidata.org/wiki/Q178377","display_name":"Mathematical induction","level":2,"score":0.44304826855659485},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.42229151725769043},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.41442224383354187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40085679292678833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3539634346961975},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.347810298204422},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3468761444091797},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23881292343139648},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12988251447677612},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-45650-3_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45650-3_21","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:10.1.1.8.3013","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.3013","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.uni-heidelberg.de/logic/fstephan/deductioninductionlearning.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W26772505","https://openalex.org/W31561947","https://openalex.org/W40029885","https://openalex.org/W166170480","https://openalex.org/W1424096249","https://openalex.org/W1545549932","https://openalex.org/W1550278928","https://openalex.org/W1565693361","https://openalex.org/W1602067282","https://openalex.org/W1730099161","https://openalex.org/W1995163355","https://openalex.org/W2019001600","https://openalex.org/W2019293114","https://openalex.org/W2102048877","https://openalex.org/W2105486835","https://openalex.org/W2116114265","https://openalex.org/W2121235993","https://openalex.org/W2160331299","https://openalex.org/W2161649341","https://openalex.org/W2169042011","https://openalex.org/W2977904728","https://openalex.org/W3152053308","https://openalex.org/W3203931103","https://openalex.org/W4206370914","https://openalex.org/W4206519198","https://openalex.org/W4230725619","https://openalex.org/W4293117209"],"related_works":["https://openalex.org/W2760927084","https://openalex.org/W4231516329","https://openalex.org/W4236197624","https://openalex.org/W27959772","https://openalex.org/W2170954486","https://openalex.org/W2028868475","https://openalex.org/W1499822848","https://openalex.org/W4312593791","https://openalex.org/W648555766","https://openalex.org/W1196275239"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
