{"id":"https://openalex.org/W2766935653","doi":"https://doi.org/10.1137/18m1220194","title":"Satisfiability in MultiValued Circuits","display_name":"Satisfiability in MultiValued Circuits","publication_year":2022,"publication_date":"2022-05-05","ids":{"openalex":"https://openalex.org/W2766935653","doi":"https://doi.org/10.1137/18m1220194","mag":"2766935653"},"language":"en","primary_location":{"id":"doi:10.1137/18m1220194","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1220194","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ruj.uj.edu.pl/xmlui/handle/item/292449","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111695060","display_name":"Pawe\u0142 M. Idziak","orcid":null},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Pawe\u0142 M. Idziak","raw_affiliation_strings":["Jagiellonian University, Faculty of Mathematics and Computer Science,","Department of Theoretical Computer Science, ul. Prof. S. Lojasiewicza 6, 30-348, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Jagiellonian University, Faculty of Mathematics and Computer Science,","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Department of Theoretical Computer Science, ul. Prof. S. Lojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074272313","display_name":"Jacek Krzaczkowski","orcid":"https://orcid.org/0000-0003-2861-1156"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jacek Krzaczkowski","raw_affiliation_strings":["Department of Theoretical Computer Science, ul. Prof. S. Lojasiewicza 6, 30-348, Krak\u00f3w, Poland","Jagiellonian University, Faculty of Mathematics and Computer Science,"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical Computer Science, ul. Prof. S. Lojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":[]},{"raw_affiliation_string":"Jagiellonian University, Faculty of Mathematics and Computer Science,","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111695060"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":null,"apc_paid":null,"fwci":0.4382,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.61359692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"51","issue":"3","first_page":"337","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.9987000226974487,"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/T10142","display_name":"Formal Methods in Verification","score":0.9975000023841858,"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/mathematics","display_name":"Mathematics","score":0.6786408424377441},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.6485348343849182},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5676950812339783},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5035201907157898},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.49229514598846436},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4869612157344818},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.4363487660884857},{"id":"https://openalex.org/keywords/boolean-domain","display_name":"Boolean domain","score":0.41907230019569397},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.36510181427001953},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.31939956545829773},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3072890043258667},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2159424126148224},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.10828089714050293}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6786408424377441},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.6485348343849182},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5676950812339783},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5035201907157898},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.49229514598846436},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4869612157344818},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.4363487660884857},{"id":"https://openalex.org/C4926405","wikidata":"https://www.wikidata.org/wiki/Q3269980","display_name":"Boolean domain","level":5,"score":0.41907230019569397},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.36510181427001953},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.31939956545829773},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3072890043258667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2159424126148224},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.10828089714050293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1220194","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1220194","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/292449","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/292449","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"}],"best_oa_location":{"id":"pmh:oai:ruj.uj.edu.pl:item/292449","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/292449","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8931955009","display_name":null,"funder_award_id":"2014/14/A/ST6/00138","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1500453128","https://openalex.org/W1524176804","https://openalex.org/W1556262405","https://openalex.org/W1813513278","https://openalex.org/W1968606578","https://openalex.org/W1971234560","https://openalex.org/W1971935730","https://openalex.org/W1976799362","https://openalex.org/W1993202907","https://openalex.org/W1999377233","https://openalex.org/W1999543322","https://openalex.org/W2001346827","https://openalex.org/W2002247104","https://openalex.org/W2006336761","https://openalex.org/W2020154454","https://openalex.org/W2023679149","https://openalex.org/W2052726983","https://openalex.org/W2054437917","https://openalex.org/W2064411534","https://openalex.org/W2084284300","https://openalex.org/W2090407098","https://openalex.org/W2092435018","https://openalex.org/W2096478770","https://openalex.org/W2109957355","https://openalex.org/W2127525529","https://openalex.org/W2143684958","https://openalex.org/W2150339067","https://openalex.org/W2298489343","https://openalex.org/W2309062621","https://openalex.org/W2962785950","https://openalex.org/W2963768895","https://openalex.org/W2975809829","https://openalex.org/W2989000051"],"related_works":["https://openalex.org/W2234833091","https://openalex.org/W2495817859","https://openalex.org/W98542587","https://openalex.org/W2150272262","https://openalex.org/W4238177654","https://openalex.org/W4205628838","https://openalex.org/W2490296121","https://openalex.org/W4206073549","https://openalex.org/W2106622045","https://openalex.org/W2056094722"],"abstract_inverted_index":{"The":[0],"satisfiability":[1],"of":[2,32,36,48,123,133],"Boolean":[3,26],"circuits":[4,30,92],"is":[5,51],"NP-complete":[6],"in":[7,110],"general":[8,113],"but":[9],"becomes":[10],"polynomial":[11,68,86],"time":[12,69,87],"when":[13],"restricted":[14],"either":[15],"to":[16,61,106],"monotone":[17],"gates":[18,37],"or":[19],"linear":[20],"gates.":[21],"We":[22,59,80],"go":[23],"outside":[24],"the":[25,45,98,111],"realm":[27],"and":[28,142,144],"consider":[29],"built":[31],"any":[33],"fixed":[34],"set":[35],"on":[38],"an":[39,73],"arbitrarily":[40],"large":[41],"finite":[42,57,63,95],"domain.":[43],"From":[44],"complexity":[46],"point":[47],"view":[49],"this":[50],"connected":[52],"with":[53,66],"solving":[54],"equations":[55],"over":[56,75,93],"algebras.":[58],"want":[60],"characterize":[62],"algebras":[64,134],"A":[65,76],"a":[67,78,85,94,119,129],"algorithm":[70,88],"deciding":[71,89],"if":[72,90],"equation":[74],"has":[77],"solution.":[79],"are":[81],"also":[82],"looking":[83],"for":[84,128],"two":[91],"algebra":[96],"compute":[97],"same":[99],"function.":[100],"Although":[101],"we":[102,115],"have":[103,116],"not":[104],"managed":[105],"solve":[107],"these":[108],"problems":[109],"most":[112],"setting":[114],"obtained":[117],"such":[118],"characterization":[120],"(in":[121],"terms":[122],"nice":[124],"structural":[125],"algebraic":[126],"properties)":[127],"very":[130],"broad":[131],"class":[132],"from":[135],"congruence":[136],"modular":[137],"varieties,":[138],"including":[139],"groups,":[140],"rings,":[141],"lattices":[143],"their":[145],"extensions.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
