{"id":"https://openalex.org/W2076938770","doi":"https://doi.org/10.1142/s0129054110007192","title":"LATTICED SIMULATION RELATIONS AND GAMES","display_name":"LATTICED SIMULATION RELATIONS AND GAMES","publication_year":2010,"publication_date":"2010-03-31","ids":{"openalex":"https://openalex.org/W2076938770","doi":"https://doi.org/10.1142/s0129054110007192","mag":"2076938770"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054110007192","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054110007192","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5077429082","display_name":"Orna Kupferman","orcid":"https://orcid.org/0000-0003-4699-6117"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"ORNA KUPFERMAN","raw_affiliation_strings":["School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel","School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel#TAB#","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058107640","display_name":"Yoad Lustig","orcid":null},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"YOAD LUSTIG","raw_affiliation_strings":["School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel","School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"School of Engineering and Computer Science, Hebrew University, Jerusalem 91904, Israel#TAB#","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077429082"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":1.6726,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.84133313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"02","first_page":"167","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T10142","display_name":"Formal Methods in Verification","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/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/tree-traversal","display_name":"Tree traversal","score":0.663707435131073},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.4863305687904358},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.4707910120487213},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.4612724781036377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4598042070865631},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41519683599472046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4118348956108093},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4067823588848114},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2967575788497925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17217278480529785}],"concepts":[{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.663707435131073},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.4863305687904358},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.4707910120487213},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.4612724781036377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4598042070865631},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41519683599472046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4118348956108093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4067823588848114},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2967575788497925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17217278480529785},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054110007192","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054110007192","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W61450922","https://openalex.org/W130537534","https://openalex.org/W166818797","https://openalex.org/W1487199072","https://openalex.org/W1497571013","https://openalex.org/W1516079304","https://openalex.org/W1534067655","https://openalex.org/W1538440743","https://openalex.org/W1555593767","https://openalex.org/W1582497976","https://openalex.org/W1589294645","https://openalex.org/W1592359484","https://openalex.org/W1604272107","https://openalex.org/W1933906947","https://openalex.org/W1971107784","https://openalex.org/W2009965218","https://openalex.org/W2015640848","https://openalex.org/W2028415656","https://openalex.org/W2090106217","https://openalex.org/W2098817244","https://openalex.org/W2108011707","https://openalex.org/W2116509046","https://openalex.org/W2142880957","https://openalex.org/W2148106163","https://openalex.org/W2162844904","https://openalex.org/W2168690391","https://openalex.org/W2335724163","https://openalex.org/W2913452116","https://openalex.org/W2914000465"],"related_works":["https://openalex.org/W2136735429","https://openalex.org/W170547082","https://openalex.org/W2587876411","https://openalex.org/W2358332176","https://openalex.org/W4229950834","https://openalex.org/W4301044568","https://openalex.org/W1587123803","https://openalex.org/W2128075414","https://openalex.org/W2952867832","https://openalex.org/W2571039174"],"abstract_inverted_index":{"Multi-valued":[0],"Kripke":[1,4,27,100],"structures":[2,5,106],"are":[3,14,36,39,60,169],"in":[6,29,33,41,56,64,67,89,156,173,180],"which":[7,30,174],"the":[8,12,31,34,57,68,78,90,119,123,146,181,186,190,194,200,206,223,232],"atomic":[9],"propositions":[10],"and":[11,17,45,63,73,109,152,234,253],"transitions":[13],"not":[15],"Boolean":[16,58,91],"can":[18,153,198],"take":[19],"values":[20],"from":[21],"some":[22],"set.":[23],"In":[24,243],"particular,":[25,244],"latticed":[26,79,96,99,150,164,255,258],"structures,":[28],"elements":[32],"set":[35],"partially":[37],"ordered,":[38],"useful":[40,88],"abstraction,":[42],"query":[43],"checking,":[44],"reasoning":[46],"about":[47],"multiple":[48],"view-points.":[49],"The":[50,102,183],"challenges":[51],"that":[52,84,116,140,204],"formal":[53],"methods":[54],"involve":[55],"setting":[59,80],"carried":[61],"over,":[62],"fact":[65],"increase,":[66],"presence":[69],"of":[70,122,127,134,149,185,193,212,219,231,240],"multi-valued":[71,241],"systems":[72],"logics.":[74],"We":[75,93,138,159],"lift":[76],"to":[77,112,162,202,237],"two":[81,105],"basic":[82],"notions":[83],"have":[85,177],"been":[86],"proven":[87],"setting.":[92],"first":[94],"define":[95],"simulation":[97,256],"between":[98],"structures.":[101],"relation":[103],"maps":[104],"M":[107,110,128,135],"1":[108,129],"2":[111,136],"a":[113,132,178,216,228,247],"lattice":[114],"element":[115],"essentially":[117,188],"denotes":[118,189],"truth":[120,191],"value":[121,179,184,192],"statement":[124,195],"\"every":[125],"behavior":[126,133],"is":[130,142],"also":[131],"\".":[137],"show":[139],"latticed-simulation":[141],"logically":[143],"characterized":[144],"by":[145],"universal":[147],"fragment":[148],"\u00b5-calculus,":[151],"be":[154],"calculated":[155],"polynomial":[157],"time.":[158],"then":[160],"proceed":[161],"defining":[163],"two-player":[165],"games.":[166,242,259],"Such":[167],"games":[168,214],"played":[170],"along":[171],"graphs":[172],"each":[175],"transition":[176],"lattice.":[182],"game":[187,201],"\"the":[196],"\u2228-player":[197],"force":[199],"computations":[203],"satisfy":[205],"winning":[207],"condition\".":[208],"An":[209],"earlier":[210],"definition":[211,226],"such":[213,251],"involved":[215],"zig-zagged":[217],"traversal":[218,230],"paths":[220],"generated":[221],"during":[222],"game.":[224],"Our":[225],"involves":[227],"forward":[229],"paths,":[233],"it":[235],"leads":[236],"better":[238],"understanding":[239],"we":[245],"prove":[246],"min-max":[248],"property":[249],"for":[250],"games,":[252],"relate":[254],"with":[257]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}