{"id":"https://openalex.org/W2963219170","doi":"https://doi.org/10.1002/malq.201020020","title":"Isomorphic formulae in classical propositional logic","display_name":"Isomorphic formulae in classical propositional logic","publication_year":2011,"publication_date":"2011-11-02","ids":{"openalex":"https://openalex.org/W2963219170","doi":"https://doi.org/10.1002/malq.201020020","mag":"2963219170"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201020020","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201020020","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/A5018558191","display_name":"Kosta Do\u0161en","orcid":null},"institutions":[{"id":"https://openalex.org/I1338511612","display_name":"Serbian Academy of Sciences and Arts","ror":"https://ror.org/05m1y4204","country_code":"RS","type":"government","lineage":["https://openalex.org/I1338511612"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Kosta Do\u0161en","raw_affiliation_strings":["Mathematical Institute, Srpska Akademija Nauka i Umetnosti, Knez Mihailova 36, p.f. 367, 11001 Belgrade, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Srpska Akademija Nauka i Umetnosti, Knez Mihailova 36, p.f. 367, 11001 Belgrade, Serbia","institution_ids":["https://openalex.org/I1338511612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030384983","display_name":"Zoran Petri\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I1338511612","display_name":"Serbian Academy of Sciences and Arts","ror":"https://ror.org/05m1y4204","country_code":"RS","type":"government","lineage":["https://openalex.org/I1338511612"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Zoran Petri\u0107","raw_affiliation_strings":["Mathematical Institute, Srpska Akademija Nauka i Umetnosti, Knez Mihailova 36, p.f. 367, 11001 Belgrade, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Srpska Akademija Nauka i Umetnosti, Knez Mihailova 36, p.f. 367, 11001 Belgrade, Serbia","institution_ids":["https://openalex.org/I1338511612"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1338511612"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.39773407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"58","issue":"1-2","first_page":"5","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11727","display_name":"Advanced Algebra and Logic","score":0.9990000128746033,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9983000159263611,"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/mathematics","display_name":"Mathematics","score":0.8265327215194702},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.6454872488975525},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5906209945678711},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5803643465042114},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5502788424491882},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.49812912940979004},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44155189394950867},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.4274851679801941},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.42662951350212097},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.38654792308807373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10029745101928711},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.0818588137626648}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8265327215194702},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.6454872488975525},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5906209945678711},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5803643465042114},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5502788424491882},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.49812912940979004},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44155189394950867},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.4274851679801941},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.42662951350212097},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.38654792308807373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10029745101928711},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.0818588137626648},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.201020020","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201020020","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.745.4980","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.745.4980","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0912.1271.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W91801856","https://openalex.org/W136934826","https://openalex.org/W1976673631","https://openalex.org/W1985063546","https://openalex.org/W2000838844","https://openalex.org/W2010611147","https://openalex.org/W2049362364","https://openalex.org/W2050701211","https://openalex.org/W2062719791","https://openalex.org/W2068169489","https://openalex.org/W2076812578","https://openalex.org/W2102447479","https://openalex.org/W2145018595","https://openalex.org/W2151657107","https://openalex.org/W2155094707","https://openalex.org/W2312958069","https://openalex.org/W2333164983","https://openalex.org/W3157301371","https://openalex.org/W4249365326","https://openalex.org/W4256453086"],"related_works":["https://openalex.org/W1986625420","https://openalex.org/W3200682096","https://openalex.org/W2297035263","https://openalex.org/W1983271240","https://openalex.org/W4230210714","https://openalex.org/W2383907964","https://openalex.org/W2494688069","https://openalex.org/W2335620825","https://openalex.org/W2156897951","https://openalex.org/W155159238"],"abstract_inverted_index":{"Abstract":[0],"Isomorphism":[1],"between":[2],"formulae":[3],"is":[4,34],"defined":[5],"with":[6],"respect":[7],"to":[8,50],"categories":[9],"formalizing":[10],"equality":[11,33],"of":[12,23,38,45],"deductions":[13],"in":[14,19],"classical":[15,24],"propositional":[16,26],"logic":[17,27],"and":[18],"the":[20],"multiplicative":[21],"fragment":[22],"linear":[25],"caught":[28],"by":[29,36],"proof":[30],"nets.":[31],"This":[32],"motivated":[35],"generality":[37],"deductions.":[39],"Characterizations":[40],"are":[41],"given":[42],"for":[43,53],"pairs":[44],"isomorphic":[46],"formulae,":[47],"which":[48],"lead":[49],"decision":[51],"procedures":[52],"this":[54],"isomorphism.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}
