{"id":"https://openalex.org/W6927169277","doi":"https://doi.org/10.25596/jalc-2019-185","title":"On Random Primitive Sets, Directable NFAs and the Generation of Slowly Synchronizing DFAs","display_name":"On Random Primitive Sets, Directable NFAs and the Generation of Slowly Synchronizing DFAs","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W6927169277","doi":"https://doi.org/10.25596/jalc-2019-185"},"language":"en","primary_location":{"id":"doi:10.25596/jalc-2019-185","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2019-185","pdf_url":null,"source":{"id":"https://openalex.org/S7407052944","display_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"article-journal"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.25596/jalc-2019-185","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Catalano, Costanza","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Catalano, Costanza","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Jungers, Rapha\u00ebl M.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jungers, Rapha\u00ebl M.","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":0.2113,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6558097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12330","display_name":"Botanical Research and Applications","score":0.09080000221729279,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12330","display_name":"Botanical Research and Applications","score":0.09080000221729279,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10385","display_name":"Plant Diversity and Evolution","score":0.04600000008940697,"subfield":{"id":"https://openalex.org/subfields/1105","display_name":"Ecology, Evolution, Behavior and Systematics"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10451","display_name":"Mycorrhizal Fungi and Plant Interactions","score":0.04410000145435333,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.729200005531311},{"id":"https://openalex.org/keywords/reset","display_name":"Reset (finance)","score":0.7135999798774719},{"id":"https://openalex.org/keywords/synchronizing","display_name":"Synchronizing","score":0.5860999822616577},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.41449999809265137},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.39899998903274536},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.3921000063419342},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.36910000443458557},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.36820000410079956}],"concepts":[{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.729200005531311},{"id":"https://openalex.org/C2779795794","wikidata":"https://www.wikidata.org/wiki/Q7315343","display_name":"Reset (finance)","level":2,"score":0.7135999798774719},{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.5860999822616577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5692999958992004},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47769999504089355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42309999465942383},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.41449999809265137},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.39899998903274536},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3921000063419342},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.36910000443458557},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.36820000410079956},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.349700003862381},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3425000011920929},{"id":"https://openalex.org/C104091681","wikidata":"https://www.wikidata.org/wiki/Q837528","display_name":"Deterministic finite automaton","level":3,"score":0.33379998803138733},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3230000138282776},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.31839999556541443},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.27639999985694885},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.2711000144481659},{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.2556999921798706}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.25596/jalc-2019-185","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2019-185","pdf_url":null,"source":{"id":"https://openalex.org/S7407052944","display_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"article-journal"}],"best_oa_location":{"id":"doi:10.25596/jalc-2019-185","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2019-185","pdf_url":null,"source":{"id":"https://openalex.org/S7407052944","display_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,21,59,95],"tackle":[1],"the":[2,5,25,31,34,49],"problem":[3],"of":[4,8,19,33,38,86,122,127],"randomized":[6,26,101],"generation":[7],"slowly":[9],"synchronizing":[10],"deterministic":[11],"automata":[12,66],"(DFAs)":[13],"by":[14,68],"generating":[15],"random":[16,64],"primitive":[17],"sets":[18,36],"matrices.":[20],"show":[22],"that":[23,72,103],"when":[24],"procedure":[27,50],"is":[28,37],"too":[29],"simple":[30],"exponent":[32],"generated":[35],"order":[39,128],"$":[40,44,88,91,129],"O(n":[41],"\\log":[42],"n)":[43,90],"with":[45,55,92,108,124],"high":[46,93],"probability,":[47],"thus":[48],"fails":[51],"to":[52,63,105],"return":[53],"DFAs":[54,107,123],"large":[56,109],"reset":[57,110,125],"threshold.":[58],"extend":[60],"this":[61],"result":[62],"nondeterministic":[65],"(NFAs)":[67],"showing,":[69],"in":[70],"particular,":[71],"a":[73,79,83,98],"uniformly":[74],"sampled":[75],"NFA":[76],"has":[77],"both":[78],"$2$-directing":[80],"word":[81,85],"and":[82,112],"$3$-directing":[84],"length":[87],"O(n\\log":[89],"probability.":[94],"then":[96],"present":[97],"more":[99],"involved":[100],"algorithm":[102],"manages":[104],"generate":[106],"threshold":[111,126],"we":[113],"finally":[114],"leverage":[115],"these":[116],"findings":[117],"for":[118],"exhibiting":[119],"new":[120],"families":[121],"\\Omega(n^2/4)":[130],"$.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}