{"id":"https://openalex.org/W2903250711","doi":"https://doi.org/10.1145/3378667","title":"Cops-Robber Games and the Resolution of Tseitin Formulas","display_name":"Cops-Robber Games and the Resolution of Tseitin Formulas","publication_year":2020,"publication_date":"2020-03-04","ids":{"openalex":"https://openalex.org/W2903250711","doi":"https://doi.org/10.1145/3378667","mag":"2903250711"},"language":"en","primary_location":{"id":"doi:10.1145/3378667","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3378667","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","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/A5084573067","display_name":"Nicola Galesi","orcid":"https://orcid.org/0000-0002-8522-362X"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicola Galesi","raw_affiliation_strings":["Sapienza Universit\u00e0 di Roma, Rome, Italy","Sapienza\u2013Universit\u00e0 di Roma, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sapienza Universit\u00e0 di Roma, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Sapienza\u2013Universit\u00e0 di Roma, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019353955","display_name":"Navid Talebanfard","orcid":"https://orcid.org/0000-0002-3524-9282"},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Navid Talebanfard","raw_affiliation_strings":["Czech Academy of Sciences, Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Academy of Sciences, Prague, Czech Republic","institution_ids":["https://openalex.org/I202391551"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027370903","display_name":"Jacobo Tor\u00e1n","orcid":"https://orcid.org/0000-0003-2168-4969"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jacobo Tor\u00e1n","raw_affiliation_strings":["Universit\u00e4t Ulm, Germany","Universit\u00e4t Ulm; Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Universit\u00e4t Ulm; Germany","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00583059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"2","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11838","display_name":"Crime, Illicit Activities, and Governance","score":0.9659000039100647,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9297999739646912,"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/mathematics","display_name":"Mathematics","score":0.7999734878540039},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.7187058329582214},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6328225135803223},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6126081943511963},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.612110435962677},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5874922871589661},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47431680560112},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46943405270576477},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4571123421192169},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43463775515556335},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.42628124356269836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12176400423049927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11581099033355713},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0946664810180664}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7999734878540039},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.7187058329582214},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6328225135803223},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6126081943511963},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.612110435962677},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5874922871589661},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47431680560112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46943405270576477},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4571123421192169},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43463775515556335},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.42628124356269836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12176400423049927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11581099033355713},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0946664810180664},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3378667","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3378667","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},{"id":"mag:2903250711","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc25.html#GalesiTT18","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electron. Colloquium Comput. Complex.","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1990932978","https://openalex.org/W2003272326","https://openalex.org/W2011911122","https://openalex.org/W2071347463","https://openalex.org/W2076322499","https://openalex.org/W2083734106","https://openalex.org/W2083975113","https://openalex.org/W2084384424","https://openalex.org/W2098022011","https://openalex.org/W2106518318","https://openalex.org/W2507570475","https://openalex.org/W2628596753","https://openalex.org/W2765538602","https://openalex.org/W3137636610","https://openalex.org/W3158535383"],"related_works":["https://openalex.org/W3136246162","https://openalex.org/W2071347463","https://openalex.org/W3158535383","https://openalex.org/W3035897643","https://openalex.org/W2124115465","https://openalex.org/W267309117","https://openalex.org/W2595341573","https://openalex.org/W151552961","https://openalex.org/W1627538354","https://openalex.org/W2123581574","https://openalex.org/W3000150945","https://openalex.org/W3001261109","https://openalex.org/W2940838265","https://openalex.org/W2171456022","https://openalex.org/W2130229234","https://openalex.org/W1815771810","https://openalex.org/W2133544949","https://openalex.org/W1572996061","https://openalex.org/W2952823424","https://openalex.org/W1542944854"],"abstract_inverted_index":{"We":[0,85,99],"characterize":[1,35,66],"several":[2],"complexity":[3,154],"measures":[4,73,117],"for":[5,74,96,142,156],"the":[6,26,36,45,67,75,78,114,126,144,152,180],"resolution":[7,76,93,116,136,161],"of":[8,13,25,47,77,92,128,135],"Tseitin":[9,79,119,140,157],"formulas":[10,120,141,158],"in":[11,32,50,53,59,107],"terms":[12],"a":[14,22,57,108,170,184],"two":[15],"person":[16],"cop-robber":[17],"game.":[18],"Our":[19],"game":[20,52,90,103],"is":[21,137,177],"slight":[23],"variation":[24],"one":[27],"Seymour":[28],"and":[29,71,164,173],"Thomas":[30],"used":[31],"order":[33,54],"to":[34,55,64,82,123,169],"tree-width":[37],"parameter.":[38],"For":[39],"any":[40,97],"undirected":[41],"graph,":[42],"by":[43,179],"counting":[44],"number":[46],"cops":[48],"needed":[49],"our":[51,102,148],"catch":[56],"robber":[58],"it,":[60],"we":[61,150],"are":[62],"able":[63],"exactly":[65,122],"width,":[68,162],"variable":[69,94,165,175],"space,":[70],"depth":[72],"formula":[80],"corresponding":[81],"that":[83,101,113,132,160,174],"graph.":[84],"also":[86],"give":[87],"an":[88],"exact":[89],"characterization":[91],"space":[95,166,176,182],"formula.":[98],"show":[100],"can":[104],"be":[105],"played":[106],"monotone":[109],"way.":[110],"This":[111],"implies":[112],"associated":[115],"on":[118,139],"correspond":[121],"those":[124],"under":[125],"restriction":[127],"Davis-Putnam":[129],"resolution,":[130],"implying":[131],"this":[133],"kind":[134],"optimal":[138],"all":[143],"considered":[145],"measures.":[146],"Using":[147],"characterizations,":[149],"improve":[151],"existing":[153],"bounds":[155],"showing":[159],"depth,":[163],"coincide":[167],"up":[168],"logarithmic":[171,185],"factor,":[172],"bounded":[178],"clause":[181],"times":[183],"factor.":[186]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
