{"id":"https://openalex.org/W45488564","doi":"https://doi.org/10.1007/978-3-642-29709-0_20","title":"Symbolic Loop Bound Computation for WCET Analysis","display_name":"Symbolic Loop Bound Computation for WCET Analysis","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W45488564","doi":"https://doi.org/10.1007/978-3-642-29709-0_20","mag":"45488564"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-29709-0_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-29709-0_20","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048747000","display_name":"Jens Knoop","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Jens Knoop","raw_affiliation_strings":["Vienna University of Technology, Austria"],"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071158512","display_name":"Laura Kov\u00e1cs","orcid":"https://orcid.org/0000-0002-8299-2714"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Laura Kov\u00e1cs","raw_affiliation_strings":["Vienna University of Technology, Austria"],"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073179974","display_name":"Jakob Zwirchmayr","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Jakob Zwirchmayr","raw_affiliation_strings":["Vienna University of Technology, Austria"],"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048747000"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.3396,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.97976879,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"227","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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/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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8124399781227112},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.6831821203231812},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.637222170829773},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.6030308604240417},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5731082558631897},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5621941089630127},{"id":"https://openalex.org/keywords/program-analysis","display_name":"Program analysis","score":0.5076266527175903},{"id":"https://openalex.org/keywords/critical-path-method","display_name":"Critical path method","score":0.45040732622146606},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4433697760105133},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.43869292736053467},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4380108416080475},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37697452306747437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15916341543197632},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14463508129119873},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10886156558990479},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07308840751647949}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8124399781227112},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6831821203231812},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.637222170829773},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.6030308604240417},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5731082558631897},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5621941089630127},{"id":"https://openalex.org/C98183937","wikidata":"https://www.wikidata.org/wiki/Q2112188","display_name":"Program analysis","level":2,"score":0.5076266527175903},{"id":"https://openalex.org/C115874739","wikidata":"https://www.wikidata.org/wiki/Q825377","display_name":"Critical path method","level":2,"score":0.45040732622146606},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4433697760105133},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.43869292736053467},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4380108416080475},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37697452306747437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15916341543197632},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14463508129119873},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10886156558990479},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07308840751647949},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-29709-0_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-29709-0_20","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W59298299","https://openalex.org/W97771631","https://openalex.org/W150564212","https://openalex.org/W1480909796","https://openalex.org/W1528693048","https://openalex.org/W1556566737","https://openalex.org/W1579437898","https://openalex.org/W1604476105","https://openalex.org/W1606555018","https://openalex.org/W1807555267","https://openalex.org/W1848153821","https://openalex.org/W1987142766","https://openalex.org/W2004886290","https://openalex.org/W2016946768","https://openalex.org/W2044738061","https://openalex.org/W2104773116","https://openalex.org/W2109687233","https://openalex.org/W2109863363","https://openalex.org/W2111366004","https://openalex.org/W2122917953","https://openalex.org/W2142820623","https://openalex.org/W2501281238","https://openalex.org/W3010782316","https://openalex.org/W3136358674","https://openalex.org/W3206299328","https://openalex.org/W4240835555","https://openalex.org/W4247052524","https://openalex.org/W4256585318","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3011443213","https://openalex.org/W298517545","https://openalex.org/W24774503","https://openalex.org/W4312291060","https://openalex.org/W127342102","https://openalex.org/W4238808391","https://openalex.org/W3157359390","https://openalex.org/W2351616294","https://openalex.org/W2014821076","https://openalex.org/W2157323434"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}