{"id":"https://openalex.org/W7225036602","doi":"https://doi.org/10.5281/zenodo.23855386","title":"Turing Completeness via Kernelization: The Computational Universality of Discrete Topological Search and Corrigible Structural Intelligence","display_name":"Turing Completeness via Kernelization: The Computational Universality of Discrete Topological Search and Corrigible Structural Intelligence","publication_year":2026,"publication_date":"2026-11-01","ids":{"openalex":"https://openalex.org/W7225036602","doi":"https://doi.org/10.5281/zenodo.23855386"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23855386","doi":"https://doi.org/10.5281/zenodo.23855386","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23855386","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":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23855386","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160321434","display_name":"Baoyuan Zhang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhang, Baoyuan","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160321434"],"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9320999979972839,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9320999979972839,"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":0.05429999902844429,"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/T12029","display_name":"DNA and Biological Computing","score":0.003100000089034438,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/turing-completeness","display_name":"Turing completeness","score":0.9800000190734863},{"id":"https://openalex.org/keywords/church-turing-thesis","display_name":"Church-Turing thesis","score":0.9580000042915344},{"id":"https://openalex.org/keywords/kernelization","display_name":"kernelization","score":0.7200000286102295},{"id":"https://openalex.org/keywords/turing-machine-simulation","display_name":"Turing machine simulation","score":0.8199999928474426},{"id":"https://openalex.org/keywords/directed-graphs","display_name":"directed graphs","score":0.7390000224113464},{"id":"https://openalex.org/keywords/local-optimization","display_name":"local optimization","score":0.4880000054836273}],"concepts":[{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.6359000205993652},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.529699981212616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49889999628067017},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.492000013589859},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.4528999924659729},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4408000111579895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3889000117778778},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.3855000138282776},{"id":"https://openalex.org/C31402856","wikidata":"https://www.wikidata.org/wiki/Q5295939","display_name":"Super-recursive algorithm","level":5,"score":0.3610000014305115},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35260000824928284},{"id":"https://openalex.org/C179061269","wikidata":"https://www.wikidata.org/wiki/Q5263786","display_name":"Description number","level":5,"score":0.32989999651908875},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.31610000133514404},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C207225210","wikidata":"https://www.wikidata.org/wiki/Q1759539","display_name":"Kernelization","level":3,"score":0.2921999990940094},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.2847999930381775},{"id":"https://openalex.org/C15190523","wikidata":"https://www.wikidata.org/wiki/Q1190223","display_name":"Non-deterministic Turing machine","level":5,"score":0.28290000557899475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2757999897003174},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C184596265","wikidata":"https://www.wikidata.org/wiki/Q2651576","display_name":"Model of computation","level":3,"score":0.26899999380111694}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23855386","doi":"https://doi.org/10.5281/zenodo.23855386","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23855386","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":"Preprint"},{"id":"doi:10.5281/zenodo.23855387","doi":"https://doi.org/10.5281/zenodo.23855387","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23855387","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":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23855386","doi":"https://doi.org/10.5281/zenodo.23855386","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23855386","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":"Preprint"},"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":["https://openalex.org/W7225052293","https://openalex.org/W4247043528","https://openalex.org/W7204731750","https://openalex.org/W7160305507","https://openalex.org/W7166587811","https://openalex.org/W7222889284","https://openalex.org/W7206216515","https://openalex.org/W4323697711","https://openalex.org/W4391927720","https://openalex.org/W4415096761"],"abstract_inverted_index":{"The":[0],"Church-Turing":[1],"thesis":[2],"posits":[3],"that":[4,34,105],"any":[5,61,111],"effective":[6],"computation":[7,139],"can":[8,108],"be":[9],"performed":[10],"by":[11,95],"a":[12,65,78,149,159],"Turing":[13,51,73,112],"machine.":[14,113],"However,":[15],"modern":[16],"computational":[17],"paradigms":[18],"often":[19],"struggle":[20],"to":[21,77,87,124],"bridge":[22],"continuous":[23,132,145],"mathematical":[24],"constraints":[25],"with":[26],"discrete":[27,38,66],"logical":[28],"operations.":[29],"This":[30,134],"paper":[31],"formally":[32],"proves":[33],"the":[35,57,72,106,141],"Daopology":[36],"Engine\u2014a":[37],"topological":[39,67,89],"framework":[40],"based":[41],"on":[42,131],"structural":[43,164],"kernels":[44],"K":[45],"=":[46],"(G,":[47],"\u03a3,":[48],"B,":[49],"\u0398)\u2014is":[50],"complete.":[52],"We":[53],"define":[54],"\"Kernelization\"":[55],"as":[56],"process":[58],"of":[59,144,162],"mapping":[60,71],"computable":[62],"problem":[63],"into":[64],"state":[68],"space.":[69],"By":[70],"machine's":[74],"infinite":[75],"tape":[76],"dynamically":[79],"expandable":[80],"directed":[81],"graph,":[82],"and":[83,156],"its":[84],"transition":[85],"function":[86],"stochastic":[88],"operators":[90],"(Swap,":[91],"Reverse,":[92],"Mutation)":[93],"governed":[94],"deterministic":[96],"CSI":[97],"(Corrigible":[98],"Structural":[99,154],"Intelligence)":[100],"control":[101],"flow,":[102],"we":[103,115],"demonstrate":[104],"engine":[107],"exactly":[109],"simulate":[110],"Furthermore,":[114],"discuss":[116],"how":[117],"multi-stage":[118],"spatial":[119],"kernelization":[120],"allows":[121],"this":[122],"paradigm":[123],"achieve":[125],"high-precision":[126],"local":[127],"optimization":[128],"without":[129],"relying":[130],"calculus.":[133],"proof":[135],"mathematically":[136],"liberates":[137],"AI":[138],"from":[140],"energy":[142],"barrier":[143],"tensor":[146],"calculus,":[147],"establishing":[148],"rigorous":[150],"foundation":[151],"for":[152],"Corrigible":[153],"Intelligence":[155],"pointing":[157],"toward":[158],"new":[160],"era":[161],"ultra-low-power":[163],"intelligence.":[165]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2026-11-02T00:00:00"}
