{"id":"https://openalex.org/W1494571427","doi":"https://doi.org/10.3233/fi-1996-2616","title":"ON NATURAL DEDUCTION IN FIRST-ORDER FIXPOINT LOGICS","display_name":"ON NATURAL DEDUCTION IN FIRST-ORDER FIXPOINT LOGICS","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1494571427","doi":"https://doi.org/10.3233/fi-1996-2616","mag":"1494571427"},"language":"en","primary_location":{"id":"doi:10.3233/fi-1996-2616","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1996-2616","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5007619026","display_name":"Andrzej Sza\u0142as","orcid":"https://orcid.org/0000-0002-6000-6581"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Szalas","raw_affiliation_strings":["Institute of Informatics, University of Warsaw, 02-097 Warsaw, ul. Banacha 2, Poland, e-mail: szalas@mimuw.edu.pl","(This research was supported in part by the KBN grant 3 P406 019 06) Institute of Informatics, University of Warsaw, 02-097 Warsaw, ul. Banacha 2, Poland, e-mail: szalas@mimuw.edu.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics, University of Warsaw, 02-097 Warsaw, ul. Banacha 2, Poland, e-mail: szalas@mimuw.edu.pl","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"(This research was supported in part by the KBN grant 3 P406 019 06) Institute of Informatics, University of Warsaw, 02-097 Warsaw, ul. Banacha 2, Poland, e-mail: szalas@mimuw.edu.pl","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007619026"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.06578502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"81","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9991000294685364,"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":0.998199999332428,"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/natural-deduction","display_name":"Natural deduction","score":0.8169757723808289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.563970685005188},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5343261361122131},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.43117833137512207},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.39856648445129395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38017943501472473},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3475250005722046},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.328463613986969},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3159744143486023},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2090529203414917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1211557686328888}],"concepts":[{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.8169757723808289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.563970685005188},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5343261361122131},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.43117833137512207},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.39856648445129395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38017943501472473},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3475250005722046},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.328463613986969},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3159744143486023},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2090529203414917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1211557686328888},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/fi-1996-2616","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1996-2616","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.42.2391","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.2391","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://zls.mimuw.edu.pl/~szalas/xpapers/nat.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W83139932","https://openalex.org/W786158582","https://openalex.org/W2015640848","https://openalex.org/W2075350371","https://openalex.org/W2081593276","https://openalex.org/W2107725559","https://openalex.org/W2156760071"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2023557900","https://openalex.org/W2891688494","https://openalex.org/W1488351281","https://openalex.org/W2165614850","https://openalex.org/W2096191306","https://openalex.org/W1603543958","https://openalex.org/W1574493518","https://openalex.org/W2950279424","https://openalex.org/W4298683332"],"abstract_inverted_index":{"In":[0,68],"the":[1,64,91],"current":[2],"paper":[3,70],"we":[4,71],"present":[5,72],"a":[6,26,73],"powerful":[7],"technique":[8,74],"of":[9,28,31,55],"obtaining":[10],"natural":[11,81],"deduction":[12,82],"proof":[13],"systems":[14,83],"for":[15,84],"first-order":[16],"fixpoint":[17,21,40,88],"logics.":[18],"The":[19,44],"term":[20],"logics":[22,29,33,54,86],"refers":[23],"collectively":[24],"to":[25,78],"class":[27,45],"consisting":[30],"modal":[32,85],"with":[34,57],"modalities":[35],"definable":[36],"at":[37],"meta-level":[38],"by":[39],"equations":[41,89],"on":[42],"formulas.":[43],"was":[46],"found":[47],"very":[48],"interesting":[49],"as":[50],"it":[51],"contains":[52],"most":[53],"programs":[56],"e.g.":[58],"dynamic":[59],"logic,":[60],"temporal":[61],"logic":[62],"and":[63],"\u03bc-calculus":[65],"among":[66],"them.":[67],"this":[69],"that":[75],"allows":[76],"us":[77],"derive":[79],"automatically":[80],"from":[87],"defining":[90],"modalities.":[92]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
