{"id":"https://openalex.org/W1979333080","doi":"https://doi.org/10.1093/logcom/exl044","title":"Complexity and Definability Issues in LFormula","display_name":"Complexity and Definability Issues in LFormula","publication_year":2007,"publication_date":"2007-01-25","ids":{"openalex":"https://openalex.org/W1979333080","doi":"https://doi.org/10.1093/logcom/exl044","mag":"1979333080"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exl044","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exl044","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","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/A5025216560","display_name":"Enrico Marchioni","orcid":"https://orcid.org/0000-0002-1238-9186"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E. Marchioni","raw_affiliation_strings":["Departamento de L\u00f3gica, Universidad de Salamanca, Campus Unamuno - Edificio FES 37007 Salamanca, Spain E-mail:","Departamento de L\u00f3gica, Universidad de Salamanca, Campus Unamuno - Edificio FES 37007 Salamanca, Spain E-mail: marchioni@usal.es"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de L\u00f3gica, Universidad de Salamanca, Campus Unamuno - Edificio FES 37007 Salamanca, Spain E-mail:","institution_ids":["https://openalex.org/I184999862"]},{"raw_affiliation_string":"Departamento de L\u00f3gica, Universidad de Salamanca, Campus Unamuno - Edificio FES 37007 Salamanca, Spain E-mail: marchioni@usal.es","institution_ids":["https://openalex.org/I184999862"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036404155","display_name":"F. Montagna","orcid":"https://orcid.org/0009-0000-7092-7053"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Montagna","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Siena, Pian dei Mantellini 44, 53100 Siena, Italy E-mail:","Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Siena, Pian dei Mantellini 44, 53100 Siena, Italy E-mail: montagna@unisi.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Siena, Pian dei Mantellini 44, 53100 Siena, Italy E-mail:","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Siena, Pian dei Mantellini 44, 53100 Siena, Italy E-mail: montagna@unisi.it","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":4.1155,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.93567158,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"2","first_page":"311","last_page":"331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9968000054359436,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9889000058174133,"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/fragment","display_name":"Fragment (logic)","score":0.6244322061538696},{"id":"https://openalex.org/keywords/pspace","display_name":"PSPACE","score":0.6135273575782776},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.5428036451339722},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5247319340705872},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49881649017333984},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.463060587644577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4546007812023163},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41183072328567505},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38940367102622986},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.34752845764160156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2738889455795288},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2393757700920105},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14598709344863892},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.13820099830627441},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.07607787847518921}],"concepts":[{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.6244322061538696},{"id":"https://openalex.org/C197685441","wikidata":"https://www.wikidata.org/wiki/Q500716","display_name":"PSPACE","level":3,"score":0.6135273575782776},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.5428036451339722},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5247319340705872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49881649017333984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.463060587644577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4546007812023163},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41183072328567505},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38940367102622986},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.34752845764160156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2738889455795288},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2393757700920105},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14598709344863892},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.13820099830627441},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.07607787847518921}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/logcom/exl044","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exl044","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:417390","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/417390/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/7166","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/7166","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1495197746","https://openalex.org/W1511669762","https://openalex.org/W1514758454","https://openalex.org/W1602192439","https://openalex.org/W1975853435","https://openalex.org/W1983382657","https://openalex.org/W2000260716","https://openalex.org/W2067754486","https://openalex.org/W2073991658","https://openalex.org/W2082093772","https://openalex.org/W2112664318"],"related_works":["https://openalex.org/W1973480752","https://openalex.org/W2805502594","https://openalex.org/W4253208712","https://openalex.org/W31439402","https://openalex.org/W3132641048","https://openalex.org/W2217679042","https://openalex.org/W3034722188","https://openalex.org/W4300411006","https://openalex.org/W2327776271","https://openalex.org/W1528558057"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3,36,46,55],"investigate":[4,37],"several":[5],"complexity":[6],"and":[7,45],"definability":[8],"problems":[9],"for":[10],"the":[11,17,21,38,58],"logic":[12],"\u0141\u03a012\u2060.":[13,75],"We":[14],"show":[15,56],"that":[16,48,57],"universal":[18],"fragment":[19],"of":[20,23,40,69],"theory":[22],"real":[24],"closed":[25],"fields":[26],"can":[27],"be":[28],"faithfully":[29],"interpreted":[30],"in":[31,43,52,74],"such":[32],"a":[33],"logic.":[34],"Then":[35],"logics":[39,62],"t-norms":[41,70],"definable":[42,73],"\u0141\u03a012\u2060,":[44],"prove":[47],"they":[49],"are":[50,63,72],"all":[51],"PSPACE.":[53],"Finally":[54],"most":[59],"important":[60],"fuzzy":[61],"complete":[64],"with":[65],"respect":[66],"to":[67],"classes":[68],"which":[71]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
