{"id":"https://openalex.org/W1971626643","doi":"https://doi.org/10.1145/1243996.1244000","title":"Semantical characterizations and complexity of equivalences in answer set programming","display_name":"Semantical characterizations and complexity of equivalences in answer set programming","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W1971626643","doi":"https://doi.org/10.1145/1243996.1244000","mag":"1971626643"},"language":"en","primary_location":{"id":"doi:10.1145/1243996.1244000","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1243996.1244000","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","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/A5082178480","display_name":"Thomas Eiter","orcid":"https://orcid.org/0000-0001-6003-6345"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Thomas Eiter","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101971147","display_name":"Michael Fink","orcid":"https://orcid.org/0000-0003-1166-9343"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Michael Fink","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006053030","display_name":"Stefan Woltran","orcid":"https://orcid.org/0000-0003-1594-8972"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Woltran","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082178480"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":15.9599,"has_fulltext":false,"cited_by_count":87,"citation_normalized_percentile":{"value":0.99017094,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"8","issue":"3","first_page":"17","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":0.9998000264167786,"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":0.9998000264167786,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9972000122070312,"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":0.9886999726295471,"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/answer-set-programming","display_name":"Answer set programming","score":0.8115323781967163},{"id":"https://openalex.org/keywords/stable-model-semantics","display_name":"Stable model semantics","score":0.7229440212249756},{"id":"https://openalex.org/keywords/logic-programming","display_name":"Logic programming","score":0.6172702312469482},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.5892970561981201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.571458101272583},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5705605745315552},{"id":"https://openalex.org/keywords/logical-equivalence","display_name":"Logical equivalence","score":0.5551193952560425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4287962317466736},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42268431186676025},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42228710651397705},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.4128447473049164},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.38367289304733276},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38172295689582825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3501349091529846},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.327447772026062},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.2941514253616333},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15533295273780823}],"concepts":[{"id":"https://openalex.org/C182620335","wikidata":"https://www.wikidata.org/wiki/Q2852531","display_name":"Answer set programming","level":3,"score":0.8115323781967163},{"id":"https://openalex.org/C127001435","wikidata":"https://www.wikidata.org/wiki/Q7595770","display_name":"Stable model semantics","level":4,"score":0.7229440212249756},{"id":"https://openalex.org/C128838566","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic programming","level":2,"score":0.6172702312469482},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.5892970561981201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.571458101272583},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5705605745315552},{"id":"https://openalex.org/C70846408","wikidata":"https://www.wikidata.org/wiki/Q220433","display_name":"Logical equivalence","level":3,"score":0.5551193952560425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4287962317466736},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42268431186676025},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42228710651397705},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.4128447473049164},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.38367289304733276},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38172295689582825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3501349091529846},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.327447772026062},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.2941514253616333},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15533295273780823},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1243996.1244000","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1243996.1244000","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.115.8917","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.115.8917","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kr.tuwien.ac.at/staff/michael/research/tocl07.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W12006093","https://openalex.org/W13737784","https://openalex.org/W59923821","https://openalex.org/W114126544","https://openalex.org/W1488478372","https://openalex.org/W1516418648","https://openalex.org/W1520300883","https://openalex.org/W1534140321","https://openalex.org/W1536163973","https://openalex.org/W1540492824","https://openalex.org/W1549628945","https://openalex.org/W1551453953","https://openalex.org/W1552914076","https://openalex.org/W1560971821","https://openalex.org/W1564815759","https://openalex.org/W1567252621","https://openalex.org/W1579369115","https://openalex.org/W1582978375","https://openalex.org/W1586133382","https://openalex.org/W1586434992","https://openalex.org/W1602726442","https://openalex.org/W1642845450","https://openalex.org/W1663140555","https://openalex.org/W1667362966","https://openalex.org/W1672891595","https://openalex.org/W1694306392","https://openalex.org/W1857345107","https://openalex.org/W1976055110","https://openalex.org/W1985274317","https://openalex.org/W1987080413","https://openalex.org/W2000863671","https://openalex.org/W2002476082","https://openalex.org/W2004414305","https://openalex.org/W2011124182","https://openalex.org/W2023141722","https://openalex.org/W2025868887","https://openalex.org/W2038247515","https://openalex.org/W2045583484","https://openalex.org/W2056678287","https://openalex.org/W2062550757","https://openalex.org/W2065555531","https://openalex.org/W2066287719","https://openalex.org/W2076698873","https://openalex.org/W2077261730","https://openalex.org/W2077422877","https://openalex.org/W2081973669","https://openalex.org/W2085084839","https://openalex.org/W2087432892","https://openalex.org/W2090184124","https://openalex.org/W2105197521","https://openalex.org/W2105631606","https://openalex.org/W2123740011","https://openalex.org/W2127271155","https://openalex.org/W2141740710","https://openalex.org/W2174018523","https://openalex.org/W2295882966","https://openalex.org/W2561675875","https://openalex.org/W2899766884","https://openalex.org/W4236835455","https://openalex.org/W6601483248","https://openalex.org/W6631072894","https://openalex.org/W6631997866","https://openalex.org/W6633630740","https://openalex.org/W6683832619","https://openalex.org/W6806805050","https://openalex.org/W6816739460"],"related_works":["https://openalex.org/W1575307414","https://openalex.org/W2728676088","https://openalex.org/W1627528933","https://openalex.org/W1756530980","https://openalex.org/W597942588","https://openalex.org/W4231236017","https://openalex.org/W2611359631","https://openalex.org/W2076569795","https://openalex.org/W3088092049","https://openalex.org/W1556363336"],"abstract_inverted_index":{"In":[0,76],"recent":[1],"research":[2],"on":[3,229],"nonmonotonic":[4],"logic":[5,11,74,146,191,233],"programming,":[6],"repeatedly":[7],"strong":[8,85,180,224,230],"equivalence":[9,46,105,161,231],"of":[10,47,84,92,111,117,127,144,160,179,232],"programs":[12,23,136,192,222,234],"P":[13,24,48,137],"and":[14,27,49,64,72,138,171,181,207,235],"Q":[15,28,50,139],"has":[16,65],"been":[17],"considered,":[18],"which":[19,88,121,148,214],"holds":[20],"if":[21],"the":[22,32,45,58,89,99,125,153,194,209,227,237],"\u222a":[25,29],"R":[26,30,40,62,93,107,163],"have":[31],"same":[33],"answer":[34,54,218,242],"sets":[35,55],"for":[36,61,133,221,239,248],"any":[37],"other":[38,154],"program":[39,69,147],".":[41],"This":[42,119],"property":[43],"strengthens":[44],"with":[51,223],"respect":[52],"to":[53,176,217],"(which":[56],"is":[57,108,122,130,149],"particular":[59],"case":[60,197],"=\u2205),":[63],"its":[66],"applications":[67],"in":[68,87,124,193,241],"optimization,":[70],"verification,":[71],"modular":[73],"programming.":[75],"this":[77],"article,":[78],"we":[79,102,156,188],"consider":[80,103,157,189],"more":[81],"liberal":[82],"notions":[83,159,178],"equivalence,":[86],"actual":[90],"form":[91],"may":[94],"be":[95],"syntactically":[96],"restricted.":[97],"On":[98,152],"one":[100],"hand,":[101,155],"uniform":[104,182],"where":[106,162],"a":[109,115,145,168,246],"set":[110,116,219,243],"facts,":[112],"rather":[113],"than":[114],"rules.":[118],"notion,":[120],"well-known":[123],"area":[126],"deductive":[128],"databases,":[129],"particularly":[131],"useful":[132],"assessing":[134],"whether":[135],"are":[140],"equivalent":[141],"as":[142,198,200,245],"components":[143],"modularly":[150],"structured.":[151],"relativized":[158,177],"ranges":[164],"over":[165,167],"rules":[166],"fixed":[169],"alphabet,":[170],"thus":[172],"generalize":[173],"our":[174],"results":[175,228],"equivalence.":[183],"For":[184],"all":[185],"these":[186],"notions,":[187],"disjunctive":[190],"propositional":[195],"(ground)":[196],"well":[199],"some":[201],"restricted":[202],"classes,":[203],"providing":[204],"semantical":[205],"characterizations":[206],"analyzing":[208],"computational":[210],"complexity.":[211],"Our":[212],"results,":[213],"naturally":[215],"extend":[216],"semantics":[220],"negation,":[225],"complement":[226],"pave":[236],"way":[238],"optimizations":[240],"solvers":[244],"tool":[247],"input-based":[249],"problem":[250],"solving.":[251]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
