{"id":"https://openalex.org/W7225784591","doi":"https://doi.org/10.5281/zenodo.24128301","title":"Homological Calculations for Finite Toy Models of Rewriting Systems","display_name":"Homological Calculations for Finite Toy Models of Rewriting Systems","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225784591","doi":"https://doi.org/10.5281/zenodo.24128301"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24128301","doi":"https://doi.org/10.5281/zenodo.24128301","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128301","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24128301","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161389627","display_name":"Myo Sett Naing","orcid":"https://orcid.org/0009-0002-9133-0058","observed_orcids":["https://orcid.org/0009-0002-9133-0058"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Naing, Myo Sett","raw_affiliation_strings":["Independent Researcher","Author","Lawyer","Advisor"],"raw_orcid":"https://orcid.org/0009-0002-9133-0058","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]},{"raw_affiliation_string":"Author","institution_ids":[]},{"raw_affiliation_string":"Lawyer","institution_ids":[]},{"raw_affiliation_string":"Advisor","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5161389627"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.6646000146865845,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.6646000146865845,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.07429999858140945,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.0649000033736229,"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":[],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.82669997215271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7419000267982483},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.6053000092506409},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5516999959945679},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5478000044822693},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C139962677","wikidata":"https://www.wikidata.org/wiki/Q1095056","display_name":"Singular homology","level":3,"score":0.4458000063896179},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.44029998779296875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4309000074863434},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4052000045776367},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4002000093460083},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.39320001006126404},{"id":"https://openalex.org/C18364862","wikidata":"https://www.wikidata.org/wiki/Q579978","display_name":"Homological algebra","level":3,"score":0.3873000144958496},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.3675000071525574},{"id":"https://openalex.org/C76572486","wikidata":"https://www.wikidata.org/wiki/Q2602722","display_name":"Group ring","level":3,"score":0.3619000017642975},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3407999873161316},{"id":"https://openalex.org/C159876591","wikidata":"https://www.wikidata.org/wiki/Q662830","display_name":"Fundamental group","level":2,"score":0.33809998631477356},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.28369998931884766},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.2777000069618225},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C2776648750","wikidata":"https://www.wikidata.org/wiki/Q1622047","display_name":"Hochschild homology","level":3,"score":0.2542000114917755}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24128301","doi":"https://doi.org/10.5281/zenodo.24128301","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128301","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},{"id":"doi:10.5281/zenodo.24128302","doi":"https://doi.org/10.5281/zenodo.24128302","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128302","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24128301","doi":"https://doi.org/10.5281/zenodo.24128301","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128301","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2,67],"studies":[3],"two":[4],"explicitly":[5],"defined":[6],"finite":[7],"chain":[8],"complexes":[9],"intended":[10],"as":[11],"toy":[12],"models":[13],"for":[14],"rewriting":[15],"systems.":[16],"For":[17,32],"a":[18,33,38,88,92,96],"four-cycle":[19,59],"complex,":[20],"we":[21,41],"prove":[22,42],"that":[23,43],"its":[24,44],"first":[25,45,53,108],"homology":[26,46,109],"group":[27,47,56],"is":[28,114],"isomorphic":[29],"to":[30,86],"Z.":[31],"three-cycle":[34,112],"complex":[35,60],"equipped":[36],"with":[37],"specified":[39],"two-cell,":[40],"vanishes.":[48],"We":[49],"also":[50],"compute":[51],"the":[52,58,62,111],"integral":[54],"cohomology":[55],"of":[57,107],"using":[61],"universal":[63],"coefficient":[64],"theorem.":[65],"The":[66,105],"distinguishes":[68],"these":[69],"proven":[70],"algebraic":[71,116],"results":[72],"from":[73],"possible":[74],"categorical,":[75],"sheaftheoretic,":[76],"and":[77,120],"operational":[78,102],"extensions.":[79],"In":[80],"particular,":[81],"it":[82,122],"does":[83,123],"not":[84,124],"claim":[85],"construct":[87],"general":[89],"epistemic":[90],"category,":[91],"complete":[93],"Squier":[94],"resolution,":[95],"Verdier":[97],"duality":[98],"theorem,":[99],"or":[100,130],"an":[101,115],"self-healing":[103],"mechanism.":[104],"vanishing":[106],"in":[110],"model":[113],"statement":[117],"about":[118],"cycles":[119],"boundaries;":[121],"by":[125],"itself":[126],"imply":[127],"termination,":[128],"confluence,":[129],"algorithmic":[131],"recovery":[132]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}