{"id":"https://openalex.org/W3017057770","doi":"https://doi.org/10.1007/978-3-030-44914-8_21","title":"Solving Program Sketches with Large Integer Values","display_name":"Solving Program Sketches with Large Integer Values","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3017057770","doi":"https://doi.org/10.1007/978-3-030-44914-8_21","mag":"3017057770"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-44914-8_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-44914-8_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-44914-8_21.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-44914-8_21.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112115520","display_name":"Rong Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rong Pan","raw_affiliation_strings":["The University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057871380","display_name":"Qinheping Hu","orcid":"https://orcid.org/0000-0002-4249-3726"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qinheping Hu","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, USA"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045091456","display_name":"Rishabh Singh","orcid":"https://orcid.org/0000-0003-1714-9656"},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rishabh Singh","raw_affiliation_strings":["Google, Mountain View, USA"],"affiliations":[{"raw_affiliation_string":"Google, Mountain View, USA","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089920000","display_name":"Loris D\u2019Antoni","orcid":"https://orcid.org/0000-0001-9625-4037"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Loris D\u2019Antoni","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, USA"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5112115520"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.2055,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.78006042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"572","last_page":"598"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.9983999729156494,"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/sketch","display_name":"Sketch","score":0.9334861636161804},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.8121446967124939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.79295414686203},{"id":"https://openalex.org/keywords/programmer","display_name":"Programmer","score":0.5925445556640625},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.5609583258628845},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.5122813582420349},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.508267343044281},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4690050780773163},{"id":"https://openalex.org/keywords/program-transformation","display_name":"Program transformation","score":0.42137789726257324},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.40397942066192627},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3559122085571289},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12640133500099182}],"concepts":[{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.9334861636161804},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.8121446967124939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.79295414686203},{"id":"https://openalex.org/C2778514511","wikidata":"https://www.wikidata.org/wiki/Q1374194","display_name":"Programmer","level":2,"score":0.5925445556640625},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.5609583258628845},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.5122813582420349},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.508267343044281},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4690050780773163},{"id":"https://openalex.org/C2778361913","wikidata":"https://www.wikidata.org/wiki/Q7248437","display_name":"Program transformation","level":2,"score":0.42137789726257324},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.40397942066192627},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3559122085571289},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12640133500099182},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-44914-8_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-44914-8_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-44914-8_21.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pubmedcentral.nih.gov:7702261","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7702261","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Programming Languages and Systems","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-44914-8_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-44914-8_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-44914-8_21.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3017057770.pdf","grobid_xml":"https://content.openalex.org/works/W3017057770.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1515958042","https://openalex.org/W1526922602","https://openalex.org/W1614061774","https://openalex.org/W1858945639","https://openalex.org/W1970165929","https://openalex.org/W1974514467","https://openalex.org/W2043100293","https://openalex.org/W2057156093","https://openalex.org/W2080593426","https://openalex.org/W2094878426","https://openalex.org/W2117317147","https://openalex.org/W2132525863","https://openalex.org/W2141666166","https://openalex.org/W2146105230","https://openalex.org/W2149236697","https://openalex.org/W2161159055","https://openalex.org/W2214854223","https://openalex.org/W2293101314","https://openalex.org/W2486590439","https://openalex.org/W2522017073","https://openalex.org/W2550471858","https://openalex.org/W2765742677","https://openalex.org/W2884958048","https://openalex.org/W2899212285","https://openalex.org/W2952903128","https://openalex.org/W2976890614","https://openalex.org/W3003163926","https://openalex.org/W3008793775","https://openalex.org/W3192343331","https://openalex.org/W4229675450","https://openalex.org/W4230093315","https://openalex.org/W4234622013"],"related_works":["https://openalex.org/W2378994405","https://openalex.org/W2385974820","https://openalex.org/W2373478030","https://openalex.org/W2378679551","https://openalex.org/W3149739944","https://openalex.org/W2379153735","https://openalex.org/W2392363776","https://openalex.org/W2063051341","https://openalex.org/W2591066345","https://openalex.org/W1494563618"],"abstract_inverted_index":{"Abstract":[0],"Program":[1],"sketching":[2,45],"is":[3,25,130],"a":[4,13,77,97,152],"program":[5,15,38,53,67,108],"synthesis":[6],"paradigm":[7],"in":[8],"which":[9],"the":[10,23,32,36,40,65,102,113,133,136],"programmer":[11],"provides":[12,162],"partial":[14],"with":[16,119],"holes":[17,33],"and":[18,132,169],"assertions.":[19,41],"The":[20,42],"goal":[21],"of":[22,115,135,154],"synthesizer":[24],"to":[26,84,106,110,121],"automatically":[27],"find":[28],"integer":[29,58,70,87,92,158],"values":[30,88,118],"for":[31],"so":[34],"that":[35,60,81,127,173],"resulting":[37,137],"satisfies":[39],"most":[43],"popular":[44],"tool,":[46],"Sketch":[47,83,145,167,175],",":[48],"can":[49,170],"efficiently":[50],"solve":[51,171],"complex":[52],"sketches,":[54],"but":[55],"uses":[56,96],"an":[57],"encoding":[59,134],"often":[61],"performs":[62],"poorly":[63],"if":[64],"sketched":[66],"manipulates":[68],"large":[69,86,157],"values.":[71,159],"In":[72],"this":[73],"paper,":[74],"we":[75],"propose":[76],"new":[78],"solving":[79],"technique":[80,95,150,161],"allows":[82],"handle":[85],"while":[89],"retaining":[90],"its":[91],"encoding.":[93],"Our":[94,160],"result":[98],"from":[99],"number":[100],"theory,":[101],"Chinese":[103],"Remainder":[104],"Theorem,":[105],"rewrite":[107],"sketches":[109],"only":[111],"track":[112],"remainders":[114],"certain":[116],"variable":[117],"respect":[120],"several":[122],"prime":[123],"numbers.":[124],"We":[125,147],"prove":[126],"our":[128,149],"transformation":[129],"sound":[131],"programs":[138],"are":[139],"exponentially":[140],"more":[141],"succinct":[142],"than":[143],"existing":[144,166,174],"encodings.":[146],"evaluate":[148],"on":[151],"variety":[153],"benchmarks":[155,172],"manipulating":[156],"speedups":[163],"against":[164],"both":[165],"solvers":[168,176],"cannot":[177],"handle.":[178]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
