{"id":"https://openalex.org/W2089100021","doi":"https://doi.org/10.1002/malq.19920380131","title":"FINITE REPLACEMENT AND FINITE HILBERT\u2010STYLE AXIOMATIZABILITY","display_name":"FINITE REPLACEMENT AND FINITE HILBERT\u2010STYLE AXIOMATIZABILITY","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W2089100021","doi":"https://doi.org/10.1002/malq.19920380131","mag":"2089100021"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19920380131","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380131","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5002898146","display_name":"Burghard Herrmann","orcid":"https://orcid.org/0000-0003-4979-4668"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"B. Herrmann","raw_affiliation_strings":["II. Math. Inst. Freie Universita\u0308t Arnimallee 3, 1000 Berlin 33","II. Math. Inst. Freie Universit\u00e4t Arnimallee 3, 1000 Berlin 33"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"II. Math. Inst. Freie Universita\u0308t Arnimallee 3, 1000 Berlin 33","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"II. Math. Inst. Freie Universit\u00e4t Arnimallee 3, 1000 Berlin 33","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043004961","display_name":"Wolfgang Rautenberg","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"W. Rautenberg","raw_affiliation_strings":["II. Math. Inst. Freie Universita\u0308t Arnimallee 3, 1000 Berlin 33","II. Math. Inst. Freie Universit\u00e4t Arnimallee 3, 1000 Berlin 33"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"II. Math. Inst. Freie Universita\u0308t Arnimallee 3, 1000 Berlin 33","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"II. Math. Inst. Freie Universit\u00e4t Arnimallee 3, 1000 Berlin 33","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002898146","https://openalex.org/A5043004961"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.4782,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.65783771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"38","issue":"1","first_page":"327","last_page":"344"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9966999888420105,"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/T11567","display_name":"semigroups and automata theory","score":0.9865000247955322,"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/equational-logic","display_name":"Equational logic","score":0.7126359939575195},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5794768333435059},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5297091007232666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5236489772796631},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.4459991157054901},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43402552604675293},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40456143021583557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.260794460773468},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07024970650672913},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.06165516376495361}],"concepts":[{"id":"https://openalex.org/C154564781","wikidata":"https://www.wikidata.org/wiki/Q5384236","display_name":"Equational logic","level":3,"score":0.7126359939575195},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5794768333435059},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5297091007232666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5236489772796631},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.4459991157054901},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43402552604675293},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40456143021583557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.260794460773468},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07024970650672913},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.06165516376495361},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19920380131","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380131","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1589711670","https://openalex.org/W1965301224","https://openalex.org/W1966502016","https://openalex.org/W1984339989","https://openalex.org/W1991062829","https://openalex.org/W1992239677","https://openalex.org/W2036285489","https://openalex.org/W2038932611","https://openalex.org/W2050796743","https://openalex.org/W2095704391","https://openalex.org/W2481854280","https://openalex.org/W3047122219","https://openalex.org/W4236163974","https://openalex.org/W4252113473","https://openalex.org/W4400535622","https://openalex.org/W6618232089"],"related_works":["https://openalex.org/W2045049461","https://openalex.org/W4381094582","https://openalex.org/W1978893398","https://openalex.org/W1977906818","https://openalex.org/W2369625323","https://openalex.org/W2364579609","https://openalex.org/W1522139108","https://openalex.org/W2353528968","https://openalex.org/W2032776242","https://openalex.org/W4386015022"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"define":[2],"a":[3,19,70,82],"property":[4,13],"for":[5,43],"varieties":[6],"V,":[7,49],"the":[8,30,74],"f.r.p.":[9,75],"(":[10],"finite":[11,40,56,79,87],"replacement":[12],").":[14],"If":[15],"it":[16],"applies":[17],"to":[18,54],"finitely":[20,27],"based":[21,28],"V":[22,24],"then":[23],"is":[25],"strongly":[26],"in":[29,50,85],"sense":[31],"of":[32,81],"[14],":[33],"see":[34],"Theorem":[35,62],"2.":[36],"Moreover,":[37],"we":[38],"obtain":[39],"axiomatizability":[41,80],"results":[42,58],"certain":[44],"propositional":[45],"logics":[46],"associated":[47],"with":[48],"its":[51],"generality":[52],"comparable":[53],"well\u2010known":[55],"base":[57],"from":[59],"equational":[60],"logic.":[61],"3":[63],"states":[64],"that":[65],"each":[66],"variety":[67],"generated":[68],"by":[69],"2\u2010element":[71],"algebra":[72],"has":[73],"Essentially":[76],"this":[77],"implies":[78],"2\u2010valued":[83],"logic":[84],"any":[86],"language.":[88]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
