{"id":"https://openalex.org/W2178196758","doi":"https://doi.org/10.1017/s1471068401001338","title":"Soundness, idempotence and commutativity of set-sharing","display_name":"Soundness, idempotence and commutativity of set-sharing","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W2178196758","doi":"https://doi.org/10.1017/s1471068401001338","mag":"2178196758"},"language":"en","primary_location":{"id":"doi:10.1017/s1471068401001338","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1471068401001338","pdf_url":null,"source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","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/A5111600664","display_name":"Patricia M. Hill","orcid":null},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"PATRICIA M. HILL","raw_affiliation_strings":["School of Computing, University of Leeds, Leeds, UK (e-mail:"],"affiliations":[{"raw_affiliation_string":"School of Computing, University of Leeds, Leeds, UK (e-mail:","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057370941","display_name":"Roberto Bagnara","orcid":"https://orcid.org/0000-0002-6163-6278"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ROBERTO BAGNARA","raw_affiliation_strings":["Department of Mathematics, University of Parma, Parma, Italy (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Parma, Parma, Italy (e-mail:","institution_ids":["https://openalex.org/I124601658"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065794938","display_name":"Enea Zaffanella","orcid":"https://orcid.org/0000-0001-6388-2053"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ENEA ZAFFANELLA","raw_affiliation_strings":["Department of Mathematics, University of Parma, Parma, Italy (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Parma, Parma, Italy (e-mail:","institution_ids":["https://openalex.org/I124601658"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111600664"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":null,"apc_paid":null,"fwci":2.1315,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89426147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":"2","first_page":"155","last_page":"201"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/soundness","display_name":"Soundness","score":0.9206680059432983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7684192061424255},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.6334598660469055},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.6304398775100708},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5747362971305847},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.49380216002464294},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.49316614866256714},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.48881885409355164},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4780081510543823},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.46436095237731934},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4588066339492798},{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.44285109639167786},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4278801679611206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3228261470794678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1739305853843689},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.13057148456573486}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.9206680059432983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7684192061424255},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.6334598660469055},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.6304398775100708},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5747362971305847},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.49380216002464294},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.49316614866256714},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.48881885409355164},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4780081510543823},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.46436095237731934},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4588066339492798},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.44285109639167786},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4278801679611206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3228261470794678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1739305853843689},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13057148456573486},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1017/s1471068401001338","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1471068401001338","pdf_url":null,"source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:1199","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.382","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.382","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.scs.leeds.ac.uk/scs/doc/reports/1998/98_20.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.26.5151","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.5151","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.unipr.it/~bagnara/Papers/PostScript/600dpi/TPLP01R5-600DPI.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.26.5955","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.5955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.unipr.it/~bagnara/Papers/PDF/TPLP01R5.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.341.8032","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.8032","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/cs/0102030v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W60619409","https://openalex.org/W100418935","https://openalex.org/W147434432","https://openalex.org/W1585736418","https://openalex.org/W1592019736","https://openalex.org/W1602567617","https://openalex.org/W1700937817","https://openalex.org/W1766332311","https://openalex.org/W1856681682","https://openalex.org/W1943771961","https://openalex.org/W1965377774","https://openalex.org/W1970730703","https://openalex.org/W2001265243","https://openalex.org/W2035032795","https://openalex.org/W2044969589","https://openalex.org/W2081673010","https://openalex.org/W2083081801","https://openalex.org/W2096765148","https://openalex.org/W2100738443","https://openalex.org/W2103656714","https://openalex.org/W2113722134","https://openalex.org/W2120329038","https://openalex.org/W2219900485","https://openalex.org/W2914892239","https://openalex.org/W4255921169"],"related_works":["https://openalex.org/W2466303427","https://openalex.org/W1841582389","https://openalex.org/W2007718591","https://openalex.org/W4390616722","https://openalex.org/W2862035520","https://openalex.org/W4386468199","https://openalex.org/W2080575293","https://openalex.org/W2977431667","https://openalex.org/W2799247498","https://openalex.org/W2229304983"],"abstract_inverted_index":{"It":[0],"is":[1,47],"important":[2],"that":[3,68,82,91,113],"practical":[4,56],"data-flow":[5],"analyzers":[6],"are":[7,83,138],"backed":[8],"by":[9],"reliably":[10],"proven":[11],"theoretical":[12,60],"results.":[13],"Abstract":[14],"interpretation":[15],"provides":[16,104],"a":[17,48,105],"sound":[18,33],"mathematical":[19],"framework":[20],"and":[21,32,58,80,90,129],"necessary":[22],"generic":[23],"properties":[24,77],"for":[25,51,54,74,85,111,126,131],"an":[26],"abstract":[27,44,132],"domain":[28,45],"to":[29,36,87,117],"be":[30,88,115],"well-defined":[31,89],"with":[34,120],"respect":[35],"the":[37,43,75,95,100,108,123],"concrete":[38],"semantics.":[39],"In":[40,62],"logic":[41],"programming,":[42],"Sharing":[46,86,98,112],"standard":[49],"choice":[50],"sharing":[52],"analysis":[53],"both":[55],"work":[57],"further":[59],"study.":[61],"spite":[63],"of":[64,78,94,97,107],"this,":[65],"we":[66],"found":[67],"there":[69],"were":[70],"no":[71],"satisfactory":[72],"proofs":[73],"key":[76],"commutativity":[79,130],"idempotence":[81,128],"essential":[84],"published":[92],"statements":[93],"soundness":[96],"assume":[99],"occurs-check.":[101,124],"This":[102],"paper":[103],"generalization":[106],"abstraction":[109,136],"function":[110,137],"can":[114],"applied":[116],"any":[118],"language,":[119],"or":[121],"without":[122],"Results":[125],"soundness,":[127],"unification":[133],"using":[134],"this":[135],"proven.":[139]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
