{"id":"https://openalex.org/W4384573104","doi":"https://doi.org/10.1007/978-3-031-37703-7_15","title":"Second-Order Hyperproperties","display_name":"Second-Order Hyperproperties","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4384573104","doi":"https://doi.org/10.1007/978-3-031-37703-7_15"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-37703-7_15","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_15","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_15.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/10.1007/978-3-031-37703-7_15.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078182410","display_name":"Raven Beutner","orcid":"https://orcid.org/0000-0001-6234-5651"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Raven Beutner","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6234-5651","affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048189898","display_name":"Bernd Finkbeiner","orcid":"https://orcid.org/0000-0002-4280-8441"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Finkbeiner","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4280-8441","affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024549371","display_name":"Hadar Frenkel","orcid":"https://orcid.org/0000-0002-3566-0338"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hadar Frenkel","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3566-0338","affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055902347","display_name":"Niklas Metzger","orcid":"https://orcid.org/0000-0003-3184-6335"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Niklas Metzger","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3184-6335","affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210128801"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078182410"],"corresponding_institution_ids":["https://openalex.org/I4210128801"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":17.3078,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.99518519,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"309","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9972000122070312,"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":0.9941999912261963,"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":0.8500829935073853},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.829653263092041},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.8115166425704956},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.7252972722053528},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.6964762806892395},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.6568031311035156},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5447093844413757},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.5039312243461609},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5015370845794678},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4960857331752777},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.48425862193107605},{"id":"https://openalex.org/keywords/linear-temporal-logic","display_name":"Linear temporal logic","score":0.45370927453041077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.385534405708313},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.31613993644714355},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.11187246441841125}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8500829935073853},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.829653263092041},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.8115166425704956},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.7252972722053528},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6964762806892395},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.6568031311035156},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5447093844413757},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.5039312243461609},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5015370845794678},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4960857331752777},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.48425862193107605},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.45370927453041077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.385534405708313},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.31613993644714355},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.11187246441841125},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-37703-7_15","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_15","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_15.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:10.1007/978-3-031-37703-7_15","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_15","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_15.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":[{"id":"https://openalex.org/G3032849772","display_name":null,"funder_award_id":"TRR 248","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G890954746","display_name":null,"funder_award_id":"389792660","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4384573104.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1213177963","https://openalex.org/W1498256026","https://openalex.org/W1507793072","https://openalex.org/W1511042226","https://openalex.org/W1526786777","https://openalex.org/W1529497146","https://openalex.org/W1861590051","https://openalex.org/W1989445634","https://openalex.org/W2022205872","https://openalex.org/W2030263557","https://openalex.org/W2031522732","https://openalex.org/W2046213250","https://openalex.org/W2048963544","https://openalex.org/W2054351881","https://openalex.org/W2539229089","https://openalex.org/W2757813108","https://openalex.org/W2767816240","https://openalex.org/W2914517473","https://openalex.org/W2964335063","https://openalex.org/W3024763028","https://openalex.org/W3081601885","https://openalex.org/W3097615709","https://openalex.org/W3117377366","https://openalex.org/W3120552358","https://openalex.org/W3132613396","https://openalex.org/W3140030144","https://openalex.org/W3165398732","https://openalex.org/W3177160037","https://openalex.org/W3178278250","https://openalex.org/W3184417962","https://openalex.org/W4234924236","https://openalex.org/W4250728693","https://openalex.org/W4281769808","https://openalex.org/W4289921754","https://openalex.org/W4290087444","https://openalex.org/W4290087450","https://openalex.org/W4296448030","https://openalex.org/W4312618946","https://openalex.org/W4312673457","https://openalex.org/W4366725162","https://openalex.org/W4378770827","https://openalex.org/W4378901237","https://openalex.org/W4379165276","https://openalex.org/W4386215170"],"related_works":["https://openalex.org/W2583111156","https://openalex.org/W1494173831","https://openalex.org/W2108751562","https://openalex.org/W2110468917","https://openalex.org/W1513159096","https://openalex.org/W2338673411","https://openalex.org/W1604890813","https://openalex.org/W2359102888","https://openalex.org/W1967076997","https://openalex.org/W2283260145"],"abstract_inverted_index":{"Abstract":[0],"We":[1,99],"introduce":[2],"Hyper":[3,32,54],"2":[4,33,55],"LTL,":[5],"a":[6],"temporal":[7,25],"logic":[8],"for":[9,16,27],"the":[10,62,89,113],"specification":[11],"of":[12,21,53,88],"hyperproperties":[13],"that":[14,81],"allows":[15],"second-order":[17,66],"quantification":[18,67],"over":[19],"sets":[20],"traces.":[22],"Unlike":[23],"first-order":[24],"logics":[26],"hyperproperties,":[28],"such":[29],"as":[30],"HyperLTL,":[31],"LTL":[34,56],"can":[35],"express":[36],"complex":[37],"epistemic":[38],"properties":[39],"like":[40],"common":[41],"knowledge,":[42],"Mazurkiewicz":[43],"trace":[44],"theory,":[45],"and":[46,72,86,96],"asynchronous":[47],"hyperproperties.":[48],"The":[49],"model":[50],"checking":[51],"problem":[52],"is,":[57],"in":[58,112],"general,":[59],"undecidable.":[60],"For":[61],"expressive":[63],"fragment":[64],"where":[65],"is":[68],"restricted":[69],"to":[70],"smallest":[71],"largest":[73],"sets,":[74,91],"we":[75,110],"present":[76],"an":[77],"approximate":[78],"model-checking":[79,107],"algorithm":[80],"computes":[82],"increasingly":[83],"precise":[84],"under-":[85],"overapproximations":[87],"quantified":[90],"based":[92],"on":[93,101],"fixpoint":[94],"iteration":[95],"automata":[97],"learning.":[98],"report":[100],"encouraging":[102],"experimental":[103],"results":[104],"with":[105],"our":[106],"algorithm,":[108],"which":[109],"implemented":[111],"tool":[114],".":[115]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
