{"id":"https://openalex.org/W4205697168","doi":"https://doi.org/10.1093/logcom/exab072","title":"Read-once refutations in Horn constraint systems: an algorithmic approach","display_name":"Read-once refutations in Horn constraint systems: an algorithmic approach","publication_year":2021,"publication_date":"2021-11-09","ids":{"openalex":"https://openalex.org/W4205697168","doi":"https://doi.org/10.1093/logcom/exab072"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exab072","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exab072","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050337397","display_name":"K. Subramani","orcid":"https://orcid.org/0000-0001-5821-5117"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"K Subramani","raw_affiliation_strings":["LDCSEE, West Virginia University , Morgantown, WV 26506, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LDCSEE, West Virginia University , Morgantown, WV 26506, USA","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072083212","display_name":"Piotr Wojciechowski","orcid":"https://orcid.org/0000-0003-1684-1077"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Piotr Wojciechowski","raw_affiliation_strings":["LDCSEE, West Virginia University , Morgantown, WV 26506, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LDCSEE, West Virginia University , Morgantown, WV 26506, USA","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083402013","display_name":"Ying Sheng","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying Sheng","raw_affiliation_strings":["Department of Computer Science , Stanford University, Stanford, CA 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science , Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050337397"],"corresponding_institution_ids":["https://openalex.org/I12097938"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.24325222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"32","issue":"4","first_page":"667","last_page":"696"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9889000058174133,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9699000120162964,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8071609735488892},{"id":"https://openalex.org/keywords/exponential-time-hypothesis","display_name":"Exponential time hypothesis","score":0.6729553937911987},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6125683784484863},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4991776943206787},{"id":"https://openalex.org/keywords/certificate","display_name":"Certificate","score":0.4902222752571106},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48119860887527466},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.48006805777549744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46108290553092957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4443323612213135},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36232513189315796},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33955639600753784}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8071609735488892},{"id":"https://openalex.org/C71017364","wikidata":"https://www.wikidata.org/wiki/Q5421532","display_name":"Exponential time hypothesis","level":3,"score":0.6729553937911987},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6125683784484863},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4991776943206787},{"id":"https://openalex.org/C96865113","wikidata":"https://www.wikidata.org/wiki/Q2946816","display_name":"Certificate","level":2,"score":0.4902222752571106},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48119860887527466},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.48006805777549744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46108290553092957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4443323612213135},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36232513189315796},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33955639600753784},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exab072","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exab072","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1198927059","display_name":null,"funder_award_id":"FA9550-19-1-0177","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W217540047","https://openalex.org/W1512384059","https://openalex.org/W1849621571","https://openalex.org/W1887127913","https://openalex.org/W1972648192","https://openalex.org/W1974010251","https://openalex.org/W1986602165","https://openalex.org/W1995725694","https://openalex.org/W1998113645","https://openalex.org/W2010786875","https://openalex.org/W2011039300","https://openalex.org/W2017250623","https://openalex.org/W2017351350","https://openalex.org/W2019254635","https://openalex.org/W2023509229","https://openalex.org/W2039657946","https://openalex.org/W2040475127","https://openalex.org/W2048926244","https://openalex.org/W2053044043","https://openalex.org/W2053651631","https://openalex.org/W2058900023","https://openalex.org/W2063727779","https://openalex.org/W2069767473","https://openalex.org/W2079107830","https://openalex.org/W2079248001","https://openalex.org/W2089385722","https://openalex.org/W2120065196","https://openalex.org/W2127489452","https://openalex.org/W2136382758","https://openalex.org/W2137360584","https://openalex.org/W2141068093","https://openalex.org/W2153377020","https://openalex.org/W2171456022","https://openalex.org/W2293809538","https://openalex.org/W2397927460","https://openalex.org/W2478281145","https://openalex.org/W2531563875","https://openalex.org/W2744848334","https://openalex.org/W2789909559","https://openalex.org/W2790825170","https://openalex.org/W2806496645","https://openalex.org/W2909144890","https://openalex.org/W2919232531","https://openalex.org/W2935683702","https://openalex.org/W2969267394","https://openalex.org/W2997888326","https://openalex.org/W3022694456","https://openalex.org/W3124170630","https://openalex.org/W4200456662","https://openalex.org/W4205241946","https://openalex.org/W4213326613","https://openalex.org/W4238947095","https://openalex.org/W4250298599","https://openalex.org/W4254790956","https://openalex.org/W4301808069","https://openalex.org/W6608343565","https://openalex.org/W6610072603","https://openalex.org/W6628920534","https://openalex.org/W6632595812","https://openalex.org/W6634308814","https://openalex.org/W6639673288","https://openalex.org/W6640494490","https://openalex.org/W6666532041","https://openalex.org/W6678538503","https://openalex.org/W6740297549","https://openalex.org/W6742734390","https://openalex.org/W6757491269","https://openalex.org/W6776658741","https://openalex.org/W6996888795","https://openalex.org/W7038906009"],"related_works":["https://openalex.org/W2364477340","https://openalex.org/W2803460775","https://openalex.org/W2173621488","https://openalex.org/W2113885662","https://openalex.org/W4384270378","https://openalex.org/W2295669206","https://openalex.org/W2585468647","https://openalex.org/W4221165109","https://openalex.org/W2177663427","https://openalex.org/W2914832887"],"abstract_inverted_index":{"Abstract":[0],"In":[1,68,87,152,208],"this":[2,69,254,296],"paper,":[3,70],"we":[4,71,89,210,244,285,336],"discuss":[5],"exact":[6,202],"and":[7,55,205,259],"parameterized":[8,200],"algorithms":[9,110,125,204],"for":[10,111,295],"the":[11,52,73,91,94,102,119,158,167,190,213,224,229,247,274,279,282,291,299,307,318,339,343,346],"problem":[12,173,193,216,250,297,310,340],"of":[13,63,75,93,96,104,121,136,147,169,174,226,276,320,341,345],"finding":[14,105],"a":[15,28,134,144,170,287,314,328,333],"read-once":[16],"refutation":[17,329],"(ROR)":[18],"in":[19,47,60,77,166,228,268,278,327,349],"an":[20,42,114,153,177,180,264,350],"unsatisfiable":[21],"Horn":[22],"constraint":[23,30,156],"system":[24,31,230],"(HCS).":[25],"Recall":[26],"that":[27,212,231,246,266,306,338],"linear":[29],"$\\mathbf":[32],"{A":[33],"\\cdot":[34],"x":[35],"\\ge":[36],"b}$":[37],"is":[38,66,116,140,217,256,273,330,352],"said":[39],"to":[40,51,185,223],"be":[41,161,186],"HCS":[43,115,159,178,191,214,248,308,351],"if":[44,176],"each":[45,61,155],"entry":[46,59],"$\\textbf":[48,64],"{A}$":[49,65],"belongs":[50],"set":[53],"$\\{0,1,-1\\}$":[54],"at":[56,163],"most":[57,164],"one":[58],"row":[62],"positive.":[67],"examine":[72],"importance":[74],"constraints":[76,99,227,277,321],"which":[78],"more":[79,233,325],"variables":[80,234,239,326],"have":[81,232,313],"negative":[82,236],"coefficients":[83],"than":[84,238],"positive":[85,241],"coefficients.":[86],"particular,":[88,209],"study":[90],"impact":[92],"proportion":[95],"these":[97,124],"\u2018net-negative\u2019":[98],"has":[100,179,182],"on":[101,290],"difficulty":[103],"RORs.":[106],"There":[107],"exist":[108],"several":[109],"checking":[112,175],"whether":[113],"feasible.":[117],"To":[118],"best":[120],"our":[122],"knowledge,":[123],"are":[126],"not":[127,132,312],"certifying,":[128],"i.e.":[129],"they":[130],"do":[131],"provide":[133],"certificate":[135],"infeasibility.":[137],"Our":[138],"work":[139],"concerned":[141],"with":[142,221,235,240,322],"providing":[143],"specialized":[145],"class":[146],"certificates":[148],"called":[149],"\u2018read-once":[150],"refutations\u2019.":[151],"ROR,":[154],"defining":[157],"may":[160],"used":[162,331],"once":[165],"derivation":[168],"refutation.":[171],"The":[172],"ROR":[181,192,215,249,309,348],"been":[183],"shown":[184],"NP-hard.":[187],"We":[188,261,303],"analyse":[189],"from":[194],"three":[195,323],"different":[196],"algorithmic":[197,292],"perspectives,":[198],"viz.,":[199],"algorithms,":[201],"exponential":[203],"approximation":[206],"algorithms.":[207],"show":[211,245,337],"fixed-parameter":[218],"tractable":[219],"(FPT)":[220],"respect":[222],"number":[225,275,319],"coefficient":[237],"coefficient.":[242],"Additionally,":[243],"becomes":[251],"easy":[252],"when":[253,317],"parameter":[255],"both":[257],"small":[258],"large.":[260],"also":[262,304],"derive":[263,286],"algorithm":[265],"runs":[267],"time":[269],"$O(1.66^{m})$,":[270],"where":[271],"$m$":[272],"HCS.":[280],"On":[281],"lower-bound":[283],"side,":[284],"lower":[288],"bound":[289],"resources":[293],"needed":[294],"using":[298],"Exponential":[300],"Time":[301],"Hypothesis.":[302],"establish":[305],"does":[311],"polynomial":[315],"kernel":[316],"or":[324],"as":[332],"parameter.":[334],"Finally,":[335],"approximating":[342],"length":[344],"shortest":[347],"NPO":[353],"PB-complete1.":[354]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}