{"id":"https://openalex.org/W2956274457","doi":"https://doi.org/10.1007/978-3-030-25543-5_7","title":"Loop Summarization with Rational Vector Addition Systems","display_name":"Loop Summarization with Rational Vector Addition Systems","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2956274457","doi":"https://doi.org/10.1007/978-3-030-25543-5_7","mag":"2956274457"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-25543-5_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-25543-5_7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-25543-5_7.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%2F978-3-030-25543-5_7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049455035","display_name":"Jake Silverman","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jake Silverman","raw_affiliation_strings":["Princeton University, Princeton, USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041698482","display_name":"Zachary Kincaid","orcid":"https://orcid.org/0000-0002-7294-9165"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zachary Kincaid","raw_affiliation_strings":["Princeton University, Princeton, USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049455035"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":8.6744,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.98568873,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"97","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9969000220298767,"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/T11269","display_name":"Algorithms and Data Compression","score":0.989300012588501,"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/reachability","display_name":"Reachability","score":0.8806136846542358},{"id":"https://openalex.org/keywords/automatic-summarization","display_name":"Automatic summarization","score":0.843502402305603},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.8290786147117615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7751885652542114},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.7510988712310791},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6739597320556641},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.5565325617790222},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4852311611175537},{"id":"https://openalex.org/keywords/loop-fusion","display_name":"Loop fusion","score":0.44707363843917847},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.42866194248199463},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41386646032333374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3318069577217102},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18109077215194702},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15244346857070923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1341153383255005},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07944521307945251},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06101551651954651}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8806136846542358},{"id":"https://openalex.org/C170858558","wikidata":"https://www.wikidata.org/wiki/Q1394144","display_name":"Automatic summarization","level":2,"score":0.843502402305603},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.8290786147117615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7751885652542114},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.7510988712310791},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6739597320556641},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.5565325617790222},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4852311611175537},{"id":"https://openalex.org/C82653869","wikidata":"https://www.wikidata.org/wiki/Q6675821","display_name":"Loop fusion","level":3,"score":0.44707363843917847},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42866194248199463},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41386646032333374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3318069577217102},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18109077215194702},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15244346857070923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1341153383255005},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07944521307945251},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06101551651954651},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-25543-5_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-25543-5_7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-25543-5_7.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"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-25543-5_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-25543-5_7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-25543-5_7.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/W2956274457.pdf","grobid_xml":"https://content.openalex.org/works/W2956274457.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W205218531","https://openalex.org/W967948971","https://openalex.org/W1500085611","https://openalex.org/W1585981132","https://openalex.org/W1636902686","https://openalex.org/W1862725884","https://openalex.org/W1908449836","https://openalex.org/W1967845657","https://openalex.org/W1970168990","https://openalex.org/W2010194128","https://openalex.org/W2058033966","https://openalex.org/W2106001218","https://openalex.org/W2157056800","https://openalex.org/W2167776377","https://openalex.org/W2222821827","https://openalex.org/W2398327122","https://openalex.org/W2625924363","https://openalex.org/W2781303448","https://openalex.org/W2796681537","https://openalex.org/W2899269697","https://openalex.org/W2956274457","https://openalex.org/W2963164018","https://openalex.org/W3099870977","https://openalex.org/W3100550693","https://openalex.org/W3102404299"],"related_works":["https://openalex.org/W4253760428","https://openalex.org/W2047831585","https://openalex.org/W3208672221","https://openalex.org/W3017277461","https://openalex.org/W4287199681","https://openalex.org/W3172202899","https://openalex.org/W4224983736","https://openalex.org/W2060144422","https://openalex.org/W2011495892","https://openalex.org/W4389158950"],"abstract_inverted_index":{"This":[0],"paper":[1,57],"presents":[2],"a":[3,13,62,68,72,113,117],"technique":[4,133],"for":[5],"computing":[6,107],"numerical":[7],"loop":[8,74,83,101],"summaries.":[9],"The":[10,50],"method":[11],"synthesizes":[12],"rational":[14],"vector":[15],"addition":[16],"system":[17],"with":[18],"resets":[19],"(":[20],"$$\\mathbb":[21,40,63,92],"{Q}$$":[22,41,64,93],"-VASR)":[23],"that":[24,39,66,78,95,131],"simulates":[25,81,96],"the":[26,35,45,48,76,82,97,108,132],"action":[27],"of":[28,38,47,71,112,116],"an":[29],"input":[30],"loop,":[31,118],"and":[32,84,136],"then":[33],"uses":[34],"reachability":[36,110],"relation":[37,111],"-VASR":[42,65,94],"to":[43,59],"over-approximate":[44],"behavior":[46],"loop.":[49,98],"key":[51],"technical":[52],"problem":[53],"solved":[54],"in":[55,75,138],"this":[56],"is":[58,67,87,104,134],"automatically":[60],"synthesize":[61],"best":[69,114],"abstraction":[70,115],"given":[73],"sense":[77],"(1)":[79],"it":[80,86],"(2)":[85],"simulated":[88],"by":[89],"any":[90],"other":[91],"Since":[99],"our":[100],"summarization":[102],"scheme":[103],"based":[105],"on":[106],"exact":[109],"we":[119,128],"can":[120],"make":[121],"theoretical":[122],"guarantees":[123],"about":[124],"its":[125],"behavior.":[126],"Moreover,":[127],"show":[129],"experimentally":[130],"precise":[135],"performant":[137],"practice.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
