{"id":"https://openalex.org/W4399682854","doi":"https://doi.org/10.1007/s10009-024-00755-0","title":"Non-numerical weakly relational domains","display_name":"Non-numerical weakly relational domains","publication_year":2024,"publication_date":"2024-06-14","ids":{"openalex":"https://openalex.org/W4399682854","doi":"https://doi.org/10.1007/s10009-024-00755-0"},"language":"en","primary_location":{"id":"doi:10.1007/s10009-024-00755-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10009-024-00755-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10009-024-00755-0.pdf","source":{"id":"https://openalex.org/S122567160","display_name":"International Journal on Software Tools for Technology Transfer","issn_l":"1433-2779","issn":["1433-2779","1433-2787"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal on Software Tools for Technology Transfer","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10009-024-00755-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080676686","display_name":"Helmut Seidl","orcid":"https://orcid.org/0000-0002-2135-1593"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Helmut Seidl","raw_affiliation_strings":["TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076807398","display_name":"Julian Erhard","orcid":"https://orcid.org/0000-0002-1729-3925"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Julian Erhard","raw_affiliation_strings":["TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065010261","display_name":"Sarah Tilscher","orcid":"https://orcid.org/0009-0009-9644-7475"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sarah Tilscher","raw_affiliation_strings":["TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033241617","display_name":"Michael Schwarz","orcid":"https://orcid.org/0000-0002-9828-0308"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Schwarz","raw_affiliation_strings":["TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TUM School of Computation, Information and Technology, Technical University of Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080676686"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.5764,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67862257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"26","issue":"4","first_page":"479","last_page":"494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9961000084877014,"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/T11549","display_name":"Synthetic Organic Chemistry Methods","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.7505965232849121},{"id":"https://openalex.org/keywords/substring","display_name":"Substring","score":0.6199774146080017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49525371193885803},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44980964064598083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4441729485988617},{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.44159939885139465},{"id":"https://openalex.org/keywords/relational-database","display_name":"Relational database","score":0.4404394030570984},{"id":"https://openalex.org/keywords/relational-calculus","display_name":"Relational calculus","score":0.43732360005378723},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42705249786376953},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37471944093704224},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32523441314697266},{"id":"https://openalex.org/keywords/relational-model","display_name":"Relational model","score":0.27382373809814453},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.24510779976844788},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0836133062839508}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7505965232849121},{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.6199774146080017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49525371193885803},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44980964064598083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4441729485988617},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.44159939885139465},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.4404394030570984},{"id":"https://openalex.org/C99436015","wikidata":"https://www.wikidata.org/wiki/Q1722436","display_name":"Relational calculus","level":4,"score":0.43732360005378723},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42705249786376953},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37471944093704224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32523441314697266},{"id":"https://openalex.org/C40207289","wikidata":"https://www.wikidata.org/wiki/Q755662","display_name":"Relational model","level":3,"score":0.27382373809814453},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.24510779976844788},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0836133062839508},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10009-024-00755-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10009-024-00755-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10009-024-00755-0.pdf","source":{"id":"https://openalex.org/S122567160","display_name":"International Journal on Software Tools for Technology Transfer","issn_l":"1433-2779","issn":["1433-2779","1433-2787"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal on Software Tools for Technology Transfer","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10009-024-00755-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10009-024-00755-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10009-024-00755-0.pdf","source":{"id":"https://openalex.org/S122567160","display_name":"International Journal on Software Tools for Technology Transfer","issn_l":"1433-2779","issn":["1433-2779","1433-2787"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal on Software Tools for Technology Transfer","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323383","display_name":"Technische Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/02kkvpp62"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399682854.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1507199453","https://openalex.org/W1551571370","https://openalex.org/W1957766372","https://openalex.org/W1987398236","https://openalex.org/W1991504773","https://openalex.org/W1994293250","https://openalex.org/W2031373197","https://openalex.org/W2043100293","https://openalex.org/W2084875723","https://openalex.org/W2097774457","https://openalex.org/W2104661281","https://openalex.org/W2132661148","https://openalex.org/W2137137684","https://openalex.org/W2142481893","https://openalex.org/W2143717499","https://openalex.org/W2171834078","https://openalex.org/W2963054422","https://openalex.org/W2963853010","https://openalex.org/W2981614836","https://openalex.org/W3158747708","https://openalex.org/W4205181847","https://openalex.org/W4296371626","https://openalex.org/W4315606097","https://openalex.org/W4366077049","https://openalex.org/W4387885577"],"related_works":["https://openalex.org/W1487241321","https://openalex.org/W2085988990","https://openalex.org/W2005835473","https://openalex.org/W60748262","https://openalex.org/W2056340443","https://openalex.org/W4362564457","https://openalex.org/W1494193231","https://openalex.org/W2042847482","https://openalex.org/W2117881132","https://openalex.org/W2767499799"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"weakly":[2,35,70,187],"relational":[3,27,36,71,94,188],"domain":[4,53,72,95],"of":[5,25,34,44,54,77,99,112,147,161,172],"Octagons":[6],"offers":[7],"a":[8,31,62,66,93,133],"decent":[9],"compromise":[10],"between":[11,101,104],"precision":[12],"and":[13,79,103,106,143,175,206],"efficiency":[14],"for":[15,50,65,108,140,153,204],"numerical":[16],"properties.":[17],"Here,":[18],"we":[19,39,60,91,135,155,199],"are":[20,115,184],"concerned":[21],"with":[22,41],"the":[23,51,74,88,129,144,151],"construction":[24,33,64],"non-numerical":[26],"domains.":[28],"We":[29,165],"provide":[30,61,136,168],"general":[32,63],"domains,":[37,198],"which":[38],"exemplify":[40],"an":[42],"extension":[43],"constant":[45],"propagation":[46],"by":[47],"disjunctions.":[48],"Since":[49],"resulting":[52],"2-disjunctive":[55],"formulas":[56],"satisfiability":[57,160],"is":[58,132,163],"NP-complete,":[59],"further,":[67],"more":[68],"abstract,":[69],"where":[73],"abstract":[75,170,202],"operations":[76],"restriction":[78],"least":[80],"upper":[81],"bound":[82],"can":[83,208],"be":[84,209],"efficiently":[85],"implemented.":[86],"In":[87],"second":[89],"step,":[90],"consider":[92],"that":[96,190],"tracks":[97],"conjunctions":[98,162],"inequalities":[100],"variables,":[102],"variables":[105],"constants":[107],"arbitrary":[109],"partial":[110,130],"orders":[111],"values.":[113],"Examples":[114],"sub(multi)sets,":[116],"as":[117,119],"well":[118],"prefix,":[120],"substring":[121,124],"or":[122],"scattered":[123],"orderings":[125],"on":[126],"strings.":[127],"When":[128],"order":[131],"lattice,":[134],"precise":[137],"polynomial":[138,169],"algorithms":[139],"satisfiability,":[141],"restriction,":[142,173],"best":[145],"abstraction":[146],"disjunction.":[148],"Complementary":[149],"to":[150,186],"constructions":[152],"lattices,":[154],"find":[156],"that,":[157],"in":[158],"general,":[159],"NP-complete.":[164],"therefore":[166],"again":[167],"versions":[171],"conjunction,":[174],"join.":[176],"By":[177],"using":[178],"our":[179,197],"generic":[180],"constructions,":[181],"these":[182],"domains":[183,189],"extended":[185],"additionally":[191],"track":[192],"disjunctions":[193],".":[194],"For":[195],"all":[196],"indicate":[200],"how":[201],"transformers":[203],"assignments":[205],"guards":[207],"constructed.":[210]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
