{"id":"https://openalex.org/W7168400263","doi":"https://doi.org/10.4230/lipics.fscd.2026.15","title":"Undecidability for Semirings with Fixed Points","display_name":"Undecidability for Semirings with Fixed Points","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7168400263","doi":"https://doi.org/10.4230/lipics.fscd.2026.15"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:26365","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.15","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.15/LIPIcs.FSCD.2026.15.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.15/LIPIcs.FSCD.2026.15.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140819595","display_name":"Anupam Das","orcid":"https://orcid.org/0000-0002-0142-3676"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Das, Anupam","raw_affiliation_strings":["University of Birmingham, UK"],"raw_orcid":"https://orcid.org/0000-0002-0142-3676","affiliations":[{"raw_affiliation_string":"University of Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140781975","display_name":"Abhishek De","orcid":"https://orcid.org/0009-0003-0402-0391"},"institutions":[{"id":"https://openalex.org/I4396570654","display_name":"Krea University","ror":"https://ror.org/02nmd8z76","country_code":null,"type":"education","lineage":["https://openalex.org/I3130082100","https://openalex.org/I4396570654"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"De, Abhishek","raw_affiliation_strings":["Krea University, India"],"raw_orcid":"https://orcid.org/0009-0003-0402-0391","affiliations":[{"raw_affiliation_string":"Krea University, India","institution_ids":["https://openalex.org/I4396570654"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5140928339","display_name":"Stepan L. Kuznetsov","orcid":"https://orcid.org/0000-0003-0025-0133"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Kuznetsov, Stepan L.","raw_affiliation_strings":["Steklov Mathematical Institute of RAS, Russia"],"raw_orcid":"https://orcid.org/0000-0003-0025-0133","affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute of RAS, Russia","institution_ids":["https://openalex.org/I2801160905"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.88196353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.2720000147819519,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.2720000147819519,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.22059999406337738,"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":0.11469999700784683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6679999828338623},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5903000235557556},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.5462999939918518},{"id":"https://openalex.org/keywords/semiring","display_name":"Semiring","score":0.5078999996185303},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36469998955726624},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.3434999883174896}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7232999801635742},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6679999828338623},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5903000235557556},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.5462999939918518},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4404999911785126},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.3434999883174896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3353999853134155},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3138999938964844},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C27333817","wikidata":"https://www.wikidata.org/wiki/Q6134913","display_name":"Least fixed point","level":5,"score":0.2538999915122986}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:26365","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.15","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.15/LIPIcs.FSCD.2026.15.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},{"id":"doi:10.4230/lipics.fscd.2026.15","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fscd.2026.15","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:26365","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.15","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.15/LIPIcs.FSCD.2026.15.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6444257319","display_name":null,"funder_award_id":"075-15-","funder_id":"https://openalex.org/F4320327494","funder_display_name":"Ministry of Science and Higher Education of the Russian Federation"},{"id":"https://openalex.org/G7301595098","display_name":null,"funder_award_id":"075-15-2025-303","funder_id":"https://openalex.org/F4320327494","funder_display_name":"Ministry of Science and Higher Education of the Russian Federation"},{"id":"https://openalex.org/G8996976171","display_name":null,"funder_award_id":"MR/S035540/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320327494","display_name":"Ministry of Science and Higher Education of the Russian Federation","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7168400263.pdf","grobid_xml":"https://content.openalex.org/works/W7168400263.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"prove":[4],"the":[5,28,41],"undecidability":[6],"(and":[7],"\u03a3\u2070\u2081-completeness)":[8],"of":[9,12,19,30],"several":[10],"theories":[11,38],"semirings":[13],"with":[14],"fixed":[15],"points.":[16],"The":[17],"generality":[18],"our":[20],"results":[21],"stems":[22],"from":[23],"recursion":[24],"theoretic":[25],"methods,":[26],"namely":[27],"technique":[29],"effective":[31],"inseparability.":[32],"Our":[33],"result":[34],"applies":[35],"to":[36],"many":[37],"proposed":[39],"in":[40],"literature,":[42],"including":[43],"Conway":[44],"\u03bc-semirings,":[45,47],"Park":[46],"and":[48],"Chomsky":[49],"algebras.":[50]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-07-16T00:00:00"}
