{"id":"https://openalex.org/W2735895925","doi":"https://doi.org/10.1007/978-3-319-63046-5_26","title":"Certifying Confluence of Quasi-Decreasing Strongly Deterministic Conditional Term Rewrite Systems","display_name":"Certifying Confluence of Quasi-Decreasing Strongly Deterministic Conditional Term Rewrite Systems","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2735895925","doi":"https://doi.org/10.1007/978-3-319-63046-5_26","mag":"2735895925"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-63046-5_26","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-63046-5_26","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-63046-5_26.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%2F978-3-319-63046-5_26.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000575454","display_name":"Christian Sternagel","orcid":"https://orcid.org/0000-0001-9864-1014"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Christian Sternagel","raw_affiliation_strings":["University of Innsbruck, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"University of Innsbruck, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064023901","display_name":"Thomas Sternagel","orcid":"https://orcid.org/0000-0001-9389-9614"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Thomas Sternagel","raw_affiliation_strings":["University of Innsbruck, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"University of Innsbruck, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000575454"],"corresponding_institution_ids":["https://openalex.org/I190249584"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.5651,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68641832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"413","last_page":"431"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/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/T11567","display_name":"semigroups and automata theory","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/confluence","display_name":"Confluence","score":0.990039587020874},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.9438943862915039},{"id":"https://openalex.org/keywords/hol","display_name":"HOL","score":0.7653858661651611},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.7615689635276794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6992417573928833},{"id":"https://openalex.org/keywords/determinism","display_name":"Determinism","score":0.6400336027145386},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5681439638137817},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4165247678756714},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4013559818267822},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3800697922706604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33403825759887695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27666670083999634},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.263431191444397},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11626392602920532}],"concepts":[{"id":"https://openalex.org/C77906462","wikidata":"https://www.wikidata.org/wiki/Q1140902","display_name":"Confluence","level":2,"score":0.990039587020874},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.9438943862915039},{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.7653858661651611},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.7615689635276794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6992417573928833},{"id":"https://openalex.org/C192183473","wikidata":"https://www.wikidata.org/wiki/Q131133","display_name":"Determinism","level":2,"score":0.6400336027145386},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5681439638137817},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4165247678756714},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4013559818267822},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3800697922706604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33403825759887695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27666670083999634},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.263431191444397},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11626392602920532},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-63046-5_26","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-63046-5_26","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-63046-5_26.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:10.1007/978-3-319-63046-5_26","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-63046-5_26","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-319-63046-5_26.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/G4579028218","display_name":null,"funder_award_id":"P27502","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2735895925.pdf","grobid_xml":"https://content.openalex.org/works/W2735895925.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W91193428","https://openalex.org/W134328369","https://openalex.org/W215183311","https://openalex.org/W333834217","https://openalex.org/W1419314641","https://openalex.org/W1464848965","https://openalex.org/W1482572800","https://openalex.org/W1494959176","https://openalex.org/W1500422303","https://openalex.org/W1508261706","https://openalex.org/W1537398137","https://openalex.org/W1552961498","https://openalex.org/W1583295953","https://openalex.org/W1588278029","https://openalex.org/W1677884663","https://openalex.org/W1968386045","https://openalex.org/W1979101142","https://openalex.org/W1980290268","https://openalex.org/W2091448415","https://openalex.org/W2117247884","https://openalex.org/W2127844749","https://openalex.org/W2156645025","https://openalex.org/W2160221808","https://openalex.org/W2183669711","https://openalex.org/W2262606152","https://openalex.org/W2280791284","https://openalex.org/W2293412579","https://openalex.org/W2323378191","https://openalex.org/W2333572417","https://openalex.org/W2507006525","https://openalex.org/W2538384822","https://openalex.org/W2557049050","https://openalex.org/W2735895925","https://openalex.org/W3104269339","https://openalex.org/W4206829564","https://openalex.org/W4230919050"],"related_works":["https://openalex.org/W2585743557","https://openalex.org/W1990705256","https://openalex.org/W2585808365","https://openalex.org/W1933757178","https://openalex.org/W2142543897","https://openalex.org/W1499960275","https://openalex.org/W2735895925","https://openalex.org/W1512579902","https://openalex.org/W1618529925","https://openalex.org/W4229444181"],"abstract_inverted_index":{"We":[0],"formalize":[1,45],"a":[2],"confluence":[3,18,64],"criterion":[4],"for":[5,48,67],"the":[6,55,63],"class":[7],"of":[8,33],"quasi-decreasing":[9],"strongly":[10],"deterministic":[11],"conditional":[12,22,34,68],"term":[13,69],"rewrite":[14,70],"systems":[15],"in":[16,40],"Isabelle/HOL:":[17],"follows":[19],"if":[20],"all":[21,38],"critical":[23,35],"pairs":[24,36],"are":[25,37],"joinable.":[26],"However,":[27],"quasi-decreasingness,":[28],"strong":[29],"determinism,":[30],"and":[31],"joinability":[32],"undecidable":[39],"general.":[41],"Therefore,":[42],"we":[43,52],"also":[44],"sufficient":[46],"criteria":[47],"those":[49],"properties,":[50],"which":[51],"incorporate":[53],"into":[54],"general":[56],"purpose":[57],"certifier":[58],"CeTA":[59],"as":[60,62],"well":[61],"checker":[65],"ConCon":[66],"systems.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
