{"id":"https://openalex.org/W2128514044","doi":"https://doi.org/10.1093/jigpal/jzr035","title":"Syntactic characterizations of completeness using duals and operators","display_name":"Syntactic characterizations of completeness using duals and operators","publication_year":2011,"publication_date":"2011-10-03","ids":{"openalex":"https://openalex.org/W2128514044","doi":"https://doi.org/10.1093/jigpal/jzr035","mag":"2128514044"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzr035","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzr035","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"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":"Logic Journal of IGPL","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/A5010562834","display_name":"Blai Bonet","orcid":null},"institutions":[{"id":"https://openalex.org/I629287","display_name":"Sim\u00f3n Bol\u00edvar University","ror":"https://ror.org/01ak5cj98","country_code":"VE","type":"education","lineage":["https://openalex.org/I629287"]}],"countries":["VE"],"is_corresponding":true,"raw_author_name":"B. Bonet","raw_affiliation_strings":["Departamento de Computaci\u00f3n, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela and 2Departamento de Matem\u00e1ticas, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela"],"affiliations":[{"raw_affiliation_string":"Departamento de Computaci\u00f3n, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela and 2Departamento de Matem\u00e1ticas, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela","institution_ids":["https://openalex.org/I629287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012094685","display_name":"Nerio Borges","orcid":null},"institutions":[{"id":"https://openalex.org/I629287","display_name":"Sim\u00f3n Bol\u00edvar University","ror":"https://ror.org/01ak5cj98","country_code":"VE","type":"education","lineage":["https://openalex.org/I629287"]}],"countries":["VE"],"is_corresponding":false,"raw_author_name":"N. Borges","raw_affiliation_strings":["Departamento de Computaci\u00f3n, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela and 2Departamento de Matem\u00e1ticas, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela"],"affiliations":[{"raw_affiliation_string":"Departamento de Computaci\u00f3n, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela and 2Departamento de Matem\u00e1ticas, Universidad Sim\u00f3n Bol\u00edvar, Caracas, Venezuela","institution_ids":["https://openalex.org/I629287"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010562834"],"corresponding_institution_ids":["https://openalex.org/I629287"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.9641,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76991377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"20","issue":"1","first_page":"266","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10374","display_name":"Advanced Graph Theory Research","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/completeness","display_name":"Completeness (order theory)","score":0.7720421552658081},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.6619940996170044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5160667300224304},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4992687702178955},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4725486934185028},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4693000912666321},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4240206480026245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4099332094192505},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4094645380973816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3941991627216339},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2700916528701782},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14351817965507507}],"concepts":[{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7720421552658081},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.6619940996170044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5160667300224304},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4992687702178955},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4725486934185028},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4693000912666321},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4240206480026245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4099332094192505},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4094645380973816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3941991627216339},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2700916528701782},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14351817965507507},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzr035","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzr035","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"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":"Logic Journal of IGPL","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":5,"referenced_works":["https://openalex.org/W1812706522","https://openalex.org/W2043438634","https://openalex.org/W2125015388","https://openalex.org/W2131095357","https://openalex.org/W3127113455"],"related_works":["https://openalex.org/W2536013957","https://openalex.org/W4322492640","https://openalex.org/W2012754903","https://openalex.org/W2949039133","https://openalex.org/W3049013366","https://openalex.org/W2090263210","https://openalex.org/W2058152104","https://openalex.org/W2260525017","https://openalex.org/W2505110660","https://openalex.org/W2481726913"],"abstract_inverted_index":{"This":[0,36],"article":[1],"extends":[2],"the":[3,12,30,65,69,83,98,112,115,134,150,157,161,190],"work":[4],"laid":[5],"down":[6],"by":[7,75,103],"Medina":[8,76],"and":[9,52,67,77,148],"Immerman":[10],"for":[11,29,40,72],"syntactic":[13,90,105,187],"characterization":[14],"of":[15,44,60,85,89,100,111,133,141,152,160,168],"complete":[16,34,62,119,126],"problems":[17,155],"via":[18],"first-order":[19,169],"projections.":[20],"Our":[21,79],"first":[22],"contribution":[23,81],"is":[24,82,136],"a":[25,41,86,101,139,172],"general":[26],"canonical":[27,37,70],"form":[28,38,71],"sentences":[31],"that":[32,92,117,179],"characterize":[33],"problems.":[35],"works":[39],"wide":[42],"collection":[43],"complexity":[45],"classes,":[46],"including":[47,114],"L,":[48],"NL,":[49],"P,":[50],"NP":[51,73],"PSPACE,":[53],"which":[54,143],"can":[55,93,121],"be":[56,94,122,125],"given":[57,74],"in":[58,64,138,183,189],"terms":[59],"any":[61,118],"problem":[63,102,120],"class":[66,88],"generalizes":[68],"Immerman.":[78],"second":[80,158],"definition":[84],"new":[87,145],"operators":[91,113,135,153],"used":[95],"to":[96,124],"show":[97,178],"completeness":[99,146],"purely":[104],"means.":[106],"We":[107],"prove":[108],"basic":[109],"properties":[110],"fact":[116,184],"shown":[123],"using":[127],"such":[128,180],"operators.":[129],"The":[130],"practical":[131],"relevance":[132],"illustrated":[137],"number":[140],"applications":[142],"includes":[144],"results,":[147],"also":[149],"application":[151],"at":[154,156],"level":[159],"polynomial-time":[162],"hierarchy.":[163],"In":[164],"both":[165],"contributions,":[166],"duals":[167,181],"projections":[170],"play":[171],"major":[173],"role.":[174],"Thus,":[175],"our":[176],"results":[177],"are":[182],"very":[185],"powerful":[186],"tools":[188],"field.":[191]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}