{"id":"https://openalex.org/W2023390377","doi":"https://doi.org/10.1016/s0168-0072(01)00054-9","title":"Finite methods in 1-order formalisms","display_name":"Finite methods in 1-order formalisms","publication_year":2001,"publication_date":"2001-12-01","ids":{"openalex":"https://openalex.org/W2023390377","doi":"https://doi.org/10.1016/s0168-0072(01)00054-9","mag":"2023390377"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(01)00054-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00054-9","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"type":"article","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/A5110937376","display_name":"L. Gordeev","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L. Gordeev","raw_affiliation_strings":["T\u00fcbingen University, WSI f\u00fcr Informatik, Logik und Sprachtheorie. K\u00f6stlinstrasse 6, D-72074 T\u00fcbingen, Germany"],"affiliations":[{"raw_affiliation_string":"T\u00fcbingen University, WSI f\u00fcr Informatik, Logik und Sprachtheorie. K\u00f6stlinstrasse 6, D-72074 T\u00fcbingen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110937376"],"corresponding_institution_ids":[],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10846895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"113","issue":"1-3","first_page":"121","last_page":"151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9908999800682068,"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":0.9908999800682068,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9661999940872192,"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":0.9236000180244446,"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/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.9544764757156372},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.7765399217605591},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.7142388820648193},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.7024490833282471},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.6412327885627747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5458380579948425},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.5177973508834839},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5098530650138855},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.498579740524292},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.4963379502296448},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4953833818435669},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36405131220817566},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.3594014644622803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2913288474082947},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2619765102863312},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24350714683532715},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.14248359203338623},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08331722021102905},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07683750987052917},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05705922842025757}],"concepts":[{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.9544764757156372},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.7765399217605591},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.7142388820648193},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7024490833282471},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.6412327885627747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5458380579948425},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.5177973508834839},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5098530650138855},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.498579740524292},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.4963379502296448},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4953833818435669},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36405131220817566},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.3594014644622803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2913288474082947},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2619765102863312},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24350714683532715},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.14248359203338623},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08331722021102905},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07683750987052917},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05705922842025757},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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:10.1016/s0168-0072(01)00054-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00054-9","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W190595227","https://openalex.org/W1488400684","https://openalex.org/W1525064220","https://openalex.org/W1553626899","https://openalex.org/W1570812424","https://openalex.org/W1588649080","https://openalex.org/W1608607427","https://openalex.org/W1971323190","https://openalex.org/W1975692240","https://openalex.org/W1983214992","https://openalex.org/W2018944629","https://openalex.org/W2083081997","https://openalex.org/W2109696340","https://openalex.org/W2131525765","https://openalex.org/W4251890863","https://openalex.org/W6601719994"],"related_works":["https://openalex.org/W2280276996","https://openalex.org/W4253113110","https://openalex.org/W182117412","https://openalex.org/W2096191306","https://openalex.org/W1488351281","https://openalex.org/W4210342219","https://openalex.org/W4295728898","https://openalex.org/W93561518","https://openalex.org/W3134694630","https://openalex.org/W203501043"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}