{"id":"https://openalex.org/W2154757955","doi":"https://doi.org/10.1007/s10817-014-9316-y","title":"Labelings for Decreasing Diagrams","display_name":"Labelings for Decreasing Diagrams","publication_year":2014,"publication_date":"2014-12-16","ids":{"openalex":"https://openalex.org/W2154757955","doi":"https://doi.org/10.1007/s10817-014-9316-y","mag":"2154757955"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-014-9316-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-014-9316-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-014-9316-y.pdf","source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"Journal of Automated Reasoning","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10817-014-9316-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Harald Zankl","orcid":null},"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":"Harald Zankl","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bertram Felgenhauer","orcid":null},"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":"Bertram Felgenhauer","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"last","author":{"id":null,"display_name":"Aart Middeldorp","orcid":null},"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":"Aart Middeldorp","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I190249584"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.9693,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85256533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"54","issue":"2","first_page":"101","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.21789999306201935,"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":0.21789999306201935,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.14020000398159027,"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/T10142","display_name":"Formal Methods in Verification","score":0.13809999823570251,"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":0.9235000014305115},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.894599974155426},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.576200008392334},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.31940001249313354},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.3075999915599823}],"concepts":[{"id":"https://openalex.org/C77906462","wikidata":"https://www.wikidata.org/wiki/Q1140902","display_name":"Confluence","level":2,"score":0.9235000014305115},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.894599974155426},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.576200008392334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48500001430511475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44350001215934753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3912999927997589},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3693000078201294},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.35359999537467957},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32089999318122864},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C203264685","wikidata":"https://www.wikidata.org/wiki/Q2328174","display_name":"Atomic formula","level":2,"score":0.28999999165534973},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.27880001068115234}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10817-014-9316-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-014-9316-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-014-9316-y.pdf","source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"Journal of Automated Reasoning","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1406.3139","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.3139","pdf_url":"https://arxiv.org/pdf/1406.3139","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s10817-014-9316-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-014-9316-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-014-9316-y.pdf","source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"Journal of Automated Reasoning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2349075202","display_name":"Confluence: Automation, Certification, Extensions","funder_award_id":"P 22467","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2154757955.pdf","grobid_xml":"https://content.openalex.org/works/W2154757955.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W67491438","https://openalex.org/W1492463791","https://openalex.org/W1586619816","https://openalex.org/W1586794044","https://openalex.org/W1591581638","https://openalex.org/W1618529925","https://openalex.org/W1907069005","https://openalex.org/W1979101142","https://openalex.org/W1997678912","https://openalex.org/W1997816727","https://openalex.org/W1998413900","https://openalex.org/W2040263743","https://openalex.org/W2056239109","https://openalex.org/W2507006525","https://openalex.org/W2911994532","https://openalex.org/W2912720389","https://openalex.org/W4230919050","https://openalex.org/W4292003697"],"related_works":[],"abstract_inverted_index":{"This":[0,35],"article":[1,83],"is":[2],"concerned":[3],"with":[4],"automating":[5,75],"the":[6,82,93],"decreasing":[7,76],"diagrams":[8,33],"technique":[9],"of":[10,16],"van":[11],"Oostrom":[12],"for":[13,47,52,67],"establishing":[14],"confluence":[15,69],"term":[17],"rewrite":[18,49],"systems.":[19],"We":[20],"study":[21],"abstract":[22],"criteria":[23],"that":[24],"allow":[25],"to":[26,30,44],"lexicographically":[27],"combine":[28],"labelings":[29,46],"show":[31],"local":[32],"decreasing.":[34],"approach":[36],"has":[37],"two":[38],"immediate":[39],"benefits.":[40],"First,":[41],"it":[42,62],"allows":[43],"use":[45],"linear":[48],"systems":[50],"also":[51],"left-linear":[53],"ones,":[54],"provided":[55],"some":[56],"mild":[57],"conditions":[58],"are":[59],"satisfied.":[60],"Second,":[61],"admits":[63],"an":[64],"incremental":[65],"method":[66],"proving":[68],"which":[70],"subsumes":[71],"recent":[72],"developments":[73],"in":[74,81],"diagrams.":[77],"The":[78],"techniques":[79],"proposed":[80],"have":[84],"been":[85],"implemented":[86],"and":[87],"experimental":[88],"results":[89],"demonstrate":[90],"how,":[91],"e.g.,":[92],"rule":[94],"labeling":[95],"benefits":[96],"from":[97],"our":[98],"contributions.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}