{"id":"https://openalex.org/W7164206424","doi":"https://doi.org/10.48550/arxiv.2606.10937","title":"Provenance Tracking in AI Compilers through the Lens of Coalgebra","display_name":"Provenance Tracking in AI Compilers through the Lens of Coalgebra","publication_year":2026,"publication_date":"2026-06-09","ids":{"openalex":"https://openalex.org/W7164206424","doi":"https://doi.org/10.48550/arxiv.2606.10937"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.10937","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.10937","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.10937","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138376736","display_name":"Zilu Tian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tian, Zilu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100716597","display_name":"Liying Liu","orcid":"https://orcid.org/0000-0001-6377-5696"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Liying","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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/T11986","display_name":"Scientific Computing and Data Management","score":0.9520000219345093,"subfield":{"id":"https://openalex.org/subfields/1802","display_name":"Information Systems and Management"},"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/T11986","display_name":"Scientific Computing and Data Management","score":0.9520000219345093,"subfield":{"id":"https://openalex.org/subfields/1802","display_name":"Information Systems and Management"},"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/T11948","display_name":"Machine Learning in Materials Science","score":0.006899999920278788,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10260","display_name":"Software Engineering Research","score":0.005200000014156103,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/compiler","display_name":"Compiler","score":0.817799985408783},{"id":"https://openalex.org/keywords/debugging","display_name":"Debugging","score":0.7479000091552734},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49230000376701355},{"id":"https://openalex.org/keywords/provenance","display_name":"Provenance","score":0.4239000082015991},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.3869999945163727},{"id":"https://openalex.org/keywords/identifier","display_name":"Identifier","score":0.3650999963283539},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.3564999997615814},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.35010001063346863}],"concepts":[{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.817799985408783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.767799973487854},{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.7479000091552734},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6208000183105469},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49230000376701355},{"id":"https://openalex.org/C2780049196","wikidata":"https://www.wikidata.org/wiki/Q23582628","display_name":"Provenance","level":2,"score":0.4239000082015991},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39320001006126404},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3869999945163727},{"id":"https://openalex.org/C154504017","wikidata":"https://www.wikidata.org/wiki/Q853614","display_name":"Identifier","level":2,"score":0.3650999963283539},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.3564999997615814},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.35010001063346863},{"id":"https://openalex.org/C68366613","wikidata":"https://www.wikidata.org/wiki/Q5156378","display_name":"Compiler correctness","level":3,"score":0.3402999937534332},{"id":"https://openalex.org/C558772884","wikidata":"https://www.wikidata.org/wiki/Q1508564","display_name":"Graph rewriting","level":3,"score":0.3377000093460083},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.32670000195503235},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C119839945","wikidata":"https://www.wikidata.org/wiki/Q6545185","display_name":"Unique identifier","level":3,"score":0.2799000144004822},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C9957790","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler construction","level":3,"score":0.2720000147819519},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.10937","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.10937","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.10937","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.10937","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"AI":[0,112],"compilers":[1],"aggressively":[2],"rewrite":[3],"computation":[4],"graphs":[5],"through":[6,68],"normalization,":[7],"lowering,":[8],"and":[9,20,35,75,93],"optimization,":[10],"making":[11],"it":[12],"difficult":[13],"to":[14,57],"track":[15],"the":[16],"provenance":[17,25,58,78,97,117],"of":[18,65,81],"tensors":[19],"operators":[21],"across":[22,118],"compilation.":[23],"Reliable":[24],"is":[26],"essential":[27],"for":[28],"attaching":[29],"platform-specific":[30],"postprocessing,":[31],"debugging":[32],"compiler":[33,69,113],"behavior,":[34],"validating":[36],"transformations,":[37],"yet":[38],"existing":[39],"solutions":[40],"are":[41,102],"either":[42],"invasive":[43],"or":[44],"ad":[45],"hoc":[46],"under":[47],"non-injective":[48],"graph":[49,73],"rewrites.":[50],"We":[51,85],"present":[52],"a":[53,90,110],"lightweight,":[54],"generative":[55],"approach":[56,88,108],"tracking":[59],"based":[60],"on":[61],"observational":[62],"semantics.":[63],"Instead":[64],"propagating":[66],"identifiers":[67],"passes,":[70],"we":[71,105],"observe":[72],"transformations":[74],"reason":[76],"about":[77],"in":[79,109],"terms":[80],"observable":[82],"computational":[83],"actions.":[84],"formalize":[86],"this":[87,107],"using":[89],"coalgebraic":[91],"model":[92],"bisimulation,":[94],"which":[95],"preserves":[96],"even":[98],"when":[99],"intermediate":[100],"nodes":[101],"eliminated.":[103],"Furthermore,":[104],"implement":[106],"prototype":[111],"COVAN,":[114],"demonstrating":[115],"stable":[116],"compilation":[119],"pipelines":[120],"with":[121],"minimal":[122],"engineering":[123],"overhead.":[124]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-11T00:00:00"}