{"id":"https://openalex.org/W4304699893","doi":"https://doi.org/10.48550/arxiv.2210.03934","title":"Automata Equipped with Auxiliary Data Structures and Regular Realizability Problems","display_name":"Automata Equipped with Auxiliary Data Structures and Regular Realizability Problems","publication_year":2022,"publication_date":"2022-10-08","ids":{"openalex":"https://openalex.org/W4304699893","doi":"https://doi.org/10.48550/arxiv.2210.03934"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2210.03934","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.03934","pdf_url":"https://arxiv.org/pdf/2210.03934","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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2210.03934","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109865266","display_name":"Alexander Rubtsov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rubtsov, Alexander","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054888158","display_name":"M. Vyalyi","orcid":"https://orcid.org/0000-0001-9822-1060"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vyalyi, Mikhail","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":true,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9968000054359436,"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/turing-machine","display_name":"Turing machine","score":0.6754709482192993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6432574987411499},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5989847183227539},{"id":"https://openalex.org/keywords/realizability","display_name":"Realizability","score":0.5800793170928955},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5586691498756409},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5464443564414978},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5263398885726929},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.4836376905441284},{"id":"https://openalex.org/keywords/pushdown-automaton","display_name":"Pushdown automaton","score":0.4745790958404541},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.4357645809650421},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42663347721099854},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.4250252842903137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32333797216415405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.300852507352829}],"concepts":[{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.6754709482192993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6432574987411499},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5989847183227539},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.5800793170928955},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5586691498756409},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5464443564414978},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5263398885726929},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.4836376905441284},{"id":"https://openalex.org/C77944639","wikidata":"https://www.wikidata.org/wiki/Q751443","display_name":"Pushdown automaton","level":3,"score":0.4745790958404541},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.4357645809650421},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42663347721099854},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.4250252842903137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32333797216415405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.300852507352829},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2210.03934","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.03934","pdf_url":"https://arxiv.org/pdf/2210.03934","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"},{"id":"doi:10.48550/arxiv.2210.03934","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2210.03934","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2210.03934","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2210.03934","pdf_url":"https://arxiv.org/pdf/2210.03934","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3559659542","display_name":null,"funder_award_id":"20\u201311\u201320203","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G4184417200","display_name":null,"funder_award_id":"20203","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4304699893.pdf","grobid_xml":"https://content.openalex.org/works/W4304699893.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2541005439","https://openalex.org/W2539931802","https://openalex.org/W2073530240","https://openalex.org/W2914561188","https://openalex.org/W56377157","https://openalex.org/W4253567341","https://openalex.org/W4256292645","https://openalex.org/W4372046892","https://openalex.org/W4237311720","https://openalex.org/W4235845320"],"abstract_inverted_index":{"We":[0,40],"consider":[1],"general":[2,53],"computational":[3,129],"models:":[4],"one-way":[5,78],"and":[6,10,64,94],"two-way":[7],"finite":[8],"automata,":[9],"logarithmic":[11],"space":[12],"Turing":[13,87],"machines,":[14],"all":[15],"equipped":[16,57,89],"with":[17,37,47,58,80,90,123],"an":[18,26,59],"auxiliary":[19],"data":[20],"structure":[21],"(ADS).":[22],"The":[23,106,128],"definition":[24,69],"of":[25,33,35,44,55,103,126,131],"ADS":[27,60],"is":[28,109,136],"based":[29],"on":[30,116],"the":[31,38,42,71,74,91,101,113,117,124,137],"language":[32,102,115,125],"protocols":[34],"work":[36],"ADS.":[39],"describe":[41],"connection":[43,72],"automata-based":[45],"models":[46],"``Balloon":[48],"automata''":[49],"that":[50],"are":[51],"another":[52],"formalization":[54],"automata":[56,79],"presented":[61],"by":[62,84],"Hopcroft":[63],"Ullman":[65],"in":[66],"1967.":[67],"This":[68],"establishes":[70],"between":[73],"non-emptiness":[75],"problem":[76,98,108],"for":[77,100],"ADS,":[81,93],"languages":[82],"recognizable":[83],"nondeterministic":[85],"log-space":[86,141],"machines":[88],"same":[92,138],"a":[95,120],"regular":[96,114],"realizability":[97],"(NRR)":[99],"ADS'":[104],"protocols.":[105,127],"NRR":[107],"to":[110,140],"verify":[111],"whether":[112],"input":[118],"has":[119],"non-empty":[121],"intersection":[122],"complexity":[130],"these":[132],"problems":[133],"(and":[134],"languages)":[135],"up":[139],"reductions.":[142]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}