{"id":"https://openalex.org/W2768593493","doi":"https://doi.org/10.1007/978-3-319-72056-2_18","title":"A Natural Proof System for Herbrand\u2019s Theorem","display_name":"A Natural Proof System for Herbrand\u2019s Theorem","publication_year":2017,"publication_date":"2017-11-27","ids":{"openalex":"https://openalex.org/W2768593493","doi":"https://doi.org/10.1007/978-3-319-72056-2_18","mag":"2768593493"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-72056-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-72056-2_18","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/A5003505679","display_name":"Benjamin Ralph","orcid":"https://orcid.org/0000-0002-5075-9360"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Benjamin Ralph","raw_affiliation_strings":["University of Bath, Bath, UK"],"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, UK","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003505679"],"corresponding_institution_ids":["https://openalex.org/I51601045"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5652,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71646793,"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":"289","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9984999895095825,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973999857902527,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8562588095664978},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.6548882722854614},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.621277928352356},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.6008141040802002},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.5733277797698975},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.5601706504821777},{"id":"https://openalex.org/keywords/analytic-proof","display_name":"Analytic proof","score":0.5448945760726929},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5359855890274048},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5259808897972107},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.47789323329925537},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4632386565208435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45558035373687744},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.4525756239891052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4444385766983032},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.43638840317726135},{"id":"https://openalex.org/keywords/proofs-of-fermats-little-theorem","display_name":"Proofs of Fermat's little theorem","score":0.42032259702682495},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.41961216926574707},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3443034887313843},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2777610123157501},{"id":"https://openalex.org/keywords/fundamental-theorem","display_name":"Fundamental theorem","score":0.17425447702407837},{"id":"https://openalex.org/keywords/compactness-theorem","display_name":"Compactness theorem","score":0.08270245790481567}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8562588095664978},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.6548882722854614},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.621277928352356},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.6008141040802002},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.5733277797698975},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.5601706504821777},{"id":"https://openalex.org/C135754263","wikidata":"https://www.wikidata.org/wiki/Q4751136","display_name":"Analytic proof","level":3,"score":0.5448945760726929},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5359855890274048},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5259808897972107},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.47789323329925537},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4632386565208435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45558035373687744},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4525756239891052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4444385766983032},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.43638840317726135},{"id":"https://openalex.org/C17566778","wikidata":"https://www.wikidata.org/wiki/Q467602","display_name":"Proofs of Fermat's little theorem","level":5,"score":0.42032259702682495},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.41961216926574707},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3443034887313843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2777610123157501},{"id":"https://openalex.org/C194886279","wikidata":"https://www.wikidata.org/wiki/Q430271","display_name":"Fundamental theorem","level":3,"score":0.17425447702407837},{"id":"https://openalex.org/C171636804","wikidata":"https://www.wikidata.org/wiki/Q1149458","display_name":"Compactness theorem","level":4,"score":0.08270245790481567},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-72056-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-72056-2_18","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":[{"id":"https://openalex.org/G6304935148","display_name":null,"funder_award_id":"EP/K018868/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W4501298","https://openalex.org/W1521399121","https://openalex.org/W1534718845","https://openalex.org/W1970244405","https://openalex.org/W2008876986","https://openalex.org/W2032033497","https://openalex.org/W2084443499","https://openalex.org/W2113711982","https://openalex.org/W2134137673","https://openalex.org/W2143374829","https://openalex.org/W2168747849","https://openalex.org/W2724487754","https://openalex.org/W2743097697","https://openalex.org/W2889548529","https://openalex.org/W3098464411","https://openalex.org/W4247726461","https://openalex.org/W4298033134","https://openalex.org/W4300885336","https://openalex.org/W6678781369"],"related_works":["https://openalex.org/W1601404805","https://openalex.org/W171706349","https://openalex.org/W4234403895","https://openalex.org/W2626436722","https://openalex.org/W2922318846","https://openalex.org/W2463991046","https://openalex.org/W2722497084","https://openalex.org/W2461509449","https://openalex.org/W1586813864","https://openalex.org/W1503170941"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
