{"id":"https://openalex.org/W1976987597","doi":"https://doi.org/10.1016/s1571-0661(04)80765-5","title":"Topological Investigations of the Operators of the Well-Founded, and Alternating Fixed-Point Semantics of Normal Logic Programs","display_name":"Topological Investigations of the Operators of the Well-Founded, and Alternating Fixed-Point Semantics of Normal Logic Programs","publication_year":2003,"publication_date":"2003-10-01","ids":{"openalex":"https://openalex.org/W1976987597","doi":"https://doi.org/10.1016/s1571-0661(04)80765-5","mag":"1976987597"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80765-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80765-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80765-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004320516","display_name":"Roland Heinze","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Roland Heinze","raw_affiliation_strings":["Institut f\u00fcr Informatik III, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik III, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004320516"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0954619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"74","issue":null,"first_page":"51","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9976999759674072,"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":0.9962999820709229,"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/relation","display_name":"Relation (database)","score":0.6321672797203064},{"id":"https://openalex.org/keywords/parallels","display_name":"Parallels","score":0.5895133018493652},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5854943990707397},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5614418983459473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5452675223350525},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5374797582626343},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5270966291427612},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.423669695854187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3703661561012268},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3639804422855377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34565210342407227},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33845841884613037},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26376771926879883},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18830400705337524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09440737962722778},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07588550448417664}],"concepts":[{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6321672797203064},{"id":"https://openalex.org/C2775922551","wikidata":"https://www.wikidata.org/wiki/Q7135033","display_name":"Parallels","level":2,"score":0.5895133018493652},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5854943990707397},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5614418983459473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5452675223350525},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5374797582626343},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5270966291427612},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.423669695854187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3703661561012268},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3639804422855377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34565210342407227},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33845841884613037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26376771926879883},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18830400705337524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09440737962722778},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07588550448417664},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(04)80765-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80765-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80765-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80765-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W87983126","https://openalex.org/W194413726","https://openalex.org/W1541434994","https://openalex.org/W1560596621","https://openalex.org/W1569949931","https://openalex.org/W1824588851","https://openalex.org/W1968513265","https://openalex.org/W2001805670","https://openalex.org/W2003531456","https://openalex.org/W2022476135","https://openalex.org/W2102045458","https://openalex.org/W2132745831","https://openalex.org/W3160120230","https://openalex.org/W4206370914","https://openalex.org/W4212881215","https://openalex.org/W4285719527","https://openalex.org/W6603612271","https://openalex.org/W6636721079","https://openalex.org/W6675462374"],"related_works":["https://openalex.org/W2277794996","https://openalex.org/W1964879957","https://openalex.org/W2504593154","https://openalex.org/W4200142943","https://openalex.org/W2808752767","https://openalex.org/W2483115497","https://openalex.org/W4210798000","https://openalex.org/W2807973480","https://openalex.org/W1534056076","https://openalex.org/W1600167666"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,33,79,118],"progress":[3],"report":[4],"on":[5,11,47],"ongoing":[6],"work":[7,38,65],"to":[8,53,62],"investigate":[9],"topologies":[10,104],"spaces":[12],"of":[13,21,32,41,66,74,78,87,108,122,131],"interpretations":[14],"in":[15,51,70,95,113],"which":[16,126],"one":[17],"obtains":[18],"the":[19,22,26,48,64,72,75,88,100,129,132],"continuity":[20],"operators":[23],"associated":[24],"with":[25],"well-founded,":[27],"and":[28,45,68,102,105,110],"alternating":[29],"fixed-point":[30],"semantics":[31],"normal":[34],"logic":[35],"program.":[36],"This":[37],"parallels":[39],"that":[40,96,114,117],"Batarekh,":[42],"Subrahmanian,":[43],"Hitzler":[44,67],"Seda":[46,69],"corresponding":[49],"question":[50],"relation":[52],"supported":[54],"models.":[55],"In":[56],"particular,":[57],"its":[58],"ultimate":[59],"objective":[60],"is":[61,124],"parallel":[63],"simplifying":[71],"construction":[73],"perfect":[76],"model":[77],"locally":[80],"stratified":[81],"program":[82],"by":[83],"giving":[84],"better":[85],"understanding":[86],"well-founded":[89,133],"model.":[90,134],"Our":[91],"results":[92],"are":[93,111],"preliminary":[94],"we":[97],"consider":[98],"only":[99],"Scott":[101],"Cantor":[103],"close":[106],"relatives":[107],"these,":[109],"partial":[112],"they":[115],"suggest":[116],"more":[119],"subtle":[120],"analysis":[121],"convergence":[123],"needed":[125],"closely":[127],"reflects":[128],"properties":[130]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
