{"id":"https://openalex.org/W2340067148","doi":"https://doi.org/10.1007/s00165-015-0353-z","title":"Contract-based verification of MATLAB-style matrix programs","display_name":"Contract-based verification of MATLAB-style matrix programs","publication_year":2016,"publication_date":"2016-02-03","ids":{"openalex":"https://openalex.org/W2340067148","doi":"https://doi.org/10.1007/s00165-015-0353-z","mag":"2340067148"},"language":"en","primary_location":{"id":"doi:10.1007/s00165-015-0353-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00165-015-0353-z","pdf_url":null,"source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","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/A5057098143","display_name":"Jonatan Wiik","orcid":"https://orcid.org/0000-0003-2859-6478"},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jonatan Wiik","raw_affiliation_strings":["Faculty of Science and Engineering, \u00c5bo Akademi University, Domkyrkotorget 3, 20500, \u00c5bo, Finland"],"raw_orcid":"https://orcid.org/0000-0003-2859-6478","affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, \u00c5bo Akademi University, Domkyrkotorget 3, 20500, \u00c5bo, Finland","institution_ids":["https://openalex.org/I130217899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060991532","display_name":"Pontus Bostr\u00f6m","orcid":"https://orcid.org/0000-0003-2537-3164"},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Pontus Bostr\u00f6m","raw_affiliation_strings":["Faculty of Science and Engineering, \u00c5bo Akademi University, Domkyrkotorget 3, 20500, \u00c5bo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, \u00c5bo Akademi University, Domkyrkotorget 3, 20500, \u00c5bo, Finland","institution_ids":["https://openalex.org/I130217899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130217899"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.548,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82981516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"28","issue":"1","first_page":"79","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","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/T10126","display_name":"Logic, programming, and type systems","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/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/computer-science","display_name":"Computer science","score":0.8294063806533813},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.8116880059242249},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.6664183139801025},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5563294291496277},{"id":"https://openalex.org/keywords/programming-style","display_name":"Programming style","score":0.5398603677749634},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5315470695495605},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4920796751976013},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.40006959438323975}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8294063806533813},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.8116880059242249},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6664183139801025},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5563294291496277},{"id":"https://openalex.org/C2776245389","wikidata":"https://www.wikidata.org/wiki/Q962139","display_name":"Programming style","level":2,"score":0.5398603677749634},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5315470695495605},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4920796751976013},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.40006959438323975}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00165-015-0353-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00165-015-0353-z","pdf_url":null,"source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/0f9aae59-c2b0-4377-aae4-469a664c0825","is_oa":false,"landing_page_url":"https://research.abo.fi/en/publications/0f9aae59-c2b0-4377-aae4-469a664c0825","pdf_url":null,"source":{"id":"https://openalex.org/S4406923060","display_name":"\u00c5bo Akademi University Research Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wiik , J & Bostr\u00f6m , P 2016 , ' Contract-Based Verification of MATLAB-Style Matrix Programs ' , Formal Aspects of Computing , vol. 28 , no. 1 , pp. 79\u2013107 . https://doi.org/10.1007/s00165-015-0353-z","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W98108028","https://openalex.org/W100631053","https://openalex.org/W103680623","https://openalex.org/W147593471","https://openalex.org/W165943180","https://openalex.org/W197730338","https://openalex.org/W290761884","https://openalex.org/W646792496","https://openalex.org/W1480909796","https://openalex.org/W1522615192","https://openalex.org/W1536511644","https://openalex.org/W1564453741","https://openalex.org/W1606177908","https://openalex.org/W1657354101","https://openalex.org/W1703087989","https://openalex.org/W1820726602","https://openalex.org/W1856554806","https://openalex.org/W1889756448","https://openalex.org/W1964830323","https://openalex.org/W1968428133","https://openalex.org/W1968628974","https://openalex.org/W1998838326","https://openalex.org/W2005192022","https://openalex.org/W2014954069","https://openalex.org/W2081109124","https://openalex.org/W2100738443","https://openalex.org/W2115134174","https://openalex.org/W2117293074","https://openalex.org/W2122878128","https://openalex.org/W2130427425","https://openalex.org/W2139555094","https://openalex.org/W2166822586","https://openalex.org/W2294722445","https://openalex.org/W4241237880"],"related_works":["https://openalex.org/W4285739865","https://openalex.org/W4367553810","https://openalex.org/W2104142636","https://openalex.org/W1549048322","https://openalex.org/W2804126825","https://openalex.org/W2011940952","https://openalex.org/W2731831065","https://openalex.org/W4283162424","https://openalex.org/W2001992518","https://openalex.org/W2981935664"],"abstract_inverted_index":{"Abstract":[0],"MATLAB/Simulink":[1],"is":[2,16,101,114],"a":[3,24,44,149],"popular":[4],"toolset":[5,15],"for":[6,27,75,98,164,174],"developing":[7],"embedded":[8,185],"software.":[9],"The":[10,109],"main":[11],"target":[12],"of":[13,40,46,56,72,151,158],"the":[14,21,47,57,70,118,121,156,162],"numerical":[17],"computing":[18],"applications":[19],"and":[20,82,95,111,123,145],"tools":[22],"offer":[23],"rich":[25],"language":[26],"manipulating":[28],"matrices.":[29],"This":[30],"paper":[31],"presents":[32],"an":[33,90,133],"approach":[34,91,170],"to":[35,69,92,141,160,171],"automatic,":[36],"modular,":[37],"contract-based":[38],"verification":[39,127],"programs":[41,122,175],"written":[42],"in":[43,64,117,184],"subset":[45,71],"MATLAB":[48,73],"programming":[49],"language.":[50],"We":[51,66,88,137,153,167],"focus":[52],"on":[53,148],"efficient":[54,173],"handling":[55],"built-in":[58],"matrix":[59,80,143],"manipulation":[60],"functions":[61,144],"commonly":[62],"used":[63,116],"MATLAB.":[65],"restrict":[67],"ourselves":[68],"suitable":[74],"code":[76],"generation,":[77],"which":[78,181],"means":[79],"types":[81],"shapes":[83],"can":[84],"be":[85,172],"determined":[86],"statically.":[87],"present":[89],"static":[93],"type":[94,110],"shape":[96,112],"inference":[97],"matrices":[99],"that":[100,129,176],"more":[102],"strict":[103],"than":[104],"MATLAB,":[105],"but":[106],"aids":[107],"verification.":[108,119],"information":[113],"then":[115],"From":[120],"contracts":[124],"we":[125],"generate":[126],"conditions":[128],"are":[130,182],"discharged":[131],"with":[132],"off-the-shelf":[134],"SMT":[135],"solver.":[136],"discuss":[138],"two":[139],"approaches":[140],"encode":[142],"evaluate":[146],"them":[147],"number":[150],"examples.":[152],"also":[154],"investigate":[155],"use":[157],"k-induction":[159],"decrease":[161],"need":[163],"user":[165],"annotations.":[166],"found":[168],"our":[169],"manipulate":[177],"relatively":[178],"small":[179],"matrices,":[180],"common":[183],"applications.":[186]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}