{"id":"https://openalex.org/W1878738503","doi":"https://doi.org/10.3233/fi-2010-300","title":"SAT as a Programming Environment for Linear Algebra","display_name":"SAT as a Programming Environment for Linear Algebra","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1878738503","doi":"https://doi.org/10.3233/fi-2010-300","mag":"1878738503"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2010-300","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2010-300","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5089836599","display_name":"Marian Srebrny","orcid":null},"institutions":[{"id":"https://openalex.org/I169109204","display_name":"Kielce University of Technology","ror":"https://ror.org/01zywja13","country_code":"PL","type":"education","lineage":["https://openalex.org/I169109204"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marian Srebrny","raw_affiliation_strings":["Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland","Section of Applied Informatics, University of Commerce, Kielce, Poland. marians@ipipan.waw.pl","(Correspd.) Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland and Section of Applied Informatics, University of Commerce, Kielce, Poland. marians@ipipan.waw.pl#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"Section of Applied Informatics, University of Commerce, Kielce, Poland. marians@ipipan.waw.pl","institution_ids":["https://openalex.org/I169109204"]},{"raw_affiliation_string":"(Correspd.) Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland and Section of Applied Informatics, University of Commerce, Kielce, Poland. marians@ipipan.waw.pl#TAB#","institution_ids":["https://openalex.org/I99542240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088403177","display_name":"Lidia St\u0119pie\u0144","orcid":null},"institutions":[{"id":"https://openalex.org/I126406834","display_name":"Jan D\u0142ugosz University","ror":"https://ror.org/0566yhn94","country_code":"PL","type":"education","lineage":["https://openalex.org/I126406834"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Lidia Stepie\u0144","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Jan D\u0142ugosz University, Czestochowa, Poland. l.stepien@ajd.czest.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Jan D\u0142ugosz University, Czestochowa, Poland. l.stepien@ajd.czest.pl","institution_ids":["https://openalex.org/I126406834","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089836599"],"corresponding_institution_ids":["https://openalex.org/I169109204","https://openalex.org/I4210087266","https://openalex.org/I99542240"],"apc_list":null,"apc_paid":null,"fwci":0.7454,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71626871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"102","issue":"1","first_page":"115","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973000288009644,"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/T10142","display_name":"Formal Methods in Verification","score":0.9952999949455261,"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/algebra-over-a-field","display_name":"Algebra over a field","score":0.6276367902755737},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.4961481988430023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.488359659910202},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.43562859296798706},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.430970162153244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3926629424095154},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.343569278717041},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2554568350315094},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1436915099620819}],"concepts":[{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6276367902755737},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.4961481988430023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.488359659910202},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.43562859296798706},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.430970162153244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3926629424095154},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.343569278717041},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2554568350315094},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1436915099620819},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2010-300","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2010-300","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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":9,"referenced_works":["https://openalex.org/W205871865","https://openalex.org/W349835188","https://openalex.org/W1499231756","https://openalex.org/W1536974406","https://openalex.org/W1563590311","https://openalex.org/W1578044518","https://openalex.org/W1784765900","https://openalex.org/W2057361103","https://openalex.org/W2062897452"],"related_works":["https://openalex.org/W4285303061","https://openalex.org/W2525488343","https://openalex.org/W622366405","https://openalex.org/W2349672635","https://openalex.org/W2477677129","https://openalex.org/W2378563121","https://openalex.org/W2383666998","https://openalex.org/W2358786979","https://openalex.org/W4285299162","https://openalex.org/W2388645548"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"pursue":[4],"the":[5,9,26,47,58,74],"propositional":[6,27,48,76],"calculus":[7],"and":[8,24,57],"SATisfiability":[10,49],"solvers":[11],"as":[12],"a":[13],"powerful":[14],"declarative":[15,28],"programming":[16],"environment":[17,50],"that":[18],"makes":[19],"it":[20],"possible":[21],"to":[22,51],"create":[23],"run":[25],"programs":[29],"for":[30,73],"computational":[31],"tasks":[32],"in":[33],"various":[34],"areas":[35],"of":[36,46,60],"mathematics.":[37],"We":[38],"report":[39],"some":[40,53,61],"experimental":[41],"results":[42],"on":[43],"our":[44],"application":[45],"computing":[52],"simple":[54],"orthogonal":[55,62],"matrices":[56],"orders":[59],"groups.":[63],"Some":[64],"encouraging":[65],"(and":[66],"not":[67],"very":[68],"encouraging)":[69],"experiments":[70],"are":[71],"reported":[72],"proposed":[75],"search":[77],"procedures":[78],"using":[79],"off-the-shelf":[80],"general-purpose":[81],"SAT":[82],"solvers.":[83],"Our":[84],"new":[85],"software":[86],"toolkit":[87],"SAT4Alg":[88],"is":[89],"announced.":[90]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}
