{"id":"https://openalex.org/W4415981622","doi":"https://doi.org/10.4230/lipics.fsttcs.2025.4","title":"How Pinball Wizards Simulate a Turing Machine","display_name":"How Pinball Wizards Simulate a Turing Machine","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415981622","doi":"https://doi.org/10.4230/lipics.fsttcs.2025.4"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2510.02560","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.02560","pdf_url":"https://arxiv.org/pdf/2510.02560","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":"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/2510.02560","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120289257","display_name":"Rosemary Adejoh","orcid":null},"institutions":[{"id":"https://openalex.org/I51441396","display_name":"Bauhaus-Universit\u00e4t Weimar","ror":"https://ror.org/033bb5z47","country_code":"DE","type":"education","lineage":["https://openalex.org/I51441396"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Adejoh, Rosemary U.","raw_affiliation_strings":["Faculty of Media, Bauhaus-Universit\u00e4t Weimar, Germany"],"raw_orcid":"https://orcid.org/0009-0009-3654-891X","affiliations":[{"raw_affiliation_string":"Faculty of Media, Bauhaus-Universit\u00e4t Weimar, Germany","institution_ids":["https://openalex.org/I51441396"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053904278","display_name":"Andreas Jakoby","orcid":null},"institutions":[{"id":"https://openalex.org/I51441396","display_name":"Bauhaus-Universit\u00e4t Weimar","ror":"https://ror.org/033bb5z47","country_code":"DE","type":"education","lineage":["https://openalex.org/I51441396"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jakoby, Andreas","raw_affiliation_strings":["Faculty of Media, Bauhaus-Universit\u00e4t Weimar, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9989-7801","affiliations":[{"raw_affiliation_string":"Faculty of Media, Bauhaus-Universit\u00e4t Weimar, Germany","institution_ids":["https://openalex.org/I51441396"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072361598","display_name":"Sneha Mohanty","orcid":"https://orcid.org/0000-0001-7881-4563"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mohanty, Sneha","raw_affiliation_strings":["Computer Networks and Telematics, University of Freiburg, Germany"],"raw_orcid":"https://orcid.org/0000-0001-7881-4563","affiliations":[{"raw_affiliation_string":"Computer Networks and Telematics, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068757827","display_name":"Christian Schindelhauer","orcid":"https://orcid.org/0000-0002-8320-8581"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Schindelhauer, Christian","raw_affiliation_strings":["Computer Networks and Telematics, University of Freiburg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8320-8581","affiliations":[{"raw_affiliation_string":"Computer Networks and Telematics, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5120289257"],"corresponding_institution_ids":["https://openalex.org/I51441396"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32341376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.16359999775886536,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.16359999775886536,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.08529999852180481,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.06560000032186508,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.5435000061988831},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5174999833106995},{"id":"https://openalex.org/keywords/wizard","display_name":"Wizard","score":0.5},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.44620001316070557},{"id":"https://openalex.org/keywords/pushdown-automaton","display_name":"Pushdown automaton","score":0.4081999957561493},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.40549999475479126},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.40119999647140503}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6651999950408936},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.5435000061988831},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5174999833106995},{"id":"https://openalex.org/C2776784076","wikidata":"https://www.wikidata.org/wiki/Q580334","display_name":"Wizard","level":2,"score":0.5},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.44620001316070557},{"id":"https://openalex.org/C77944639","wikidata":"https://www.wikidata.org/wiki/Q751443","display_name":"Pushdown automaton","level":3,"score":0.4081999957561493},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.40549999475479126},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.40119999647140503},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.38440001010894775},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.3752000033855438},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.3749000132083893},{"id":"https://openalex.org/C138673069","wikidata":"https://www.wikidata.org/wiki/Q322229","display_name":"Tracing","level":2,"score":0.3375999927520752},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.305400013923645},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.30070000886917114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29789999127388},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.26989999413490295},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26969999074935913},{"id":"https://openalex.org/C56694532","wikidata":"https://www.wikidata.org/wiki/Q4421045","display_name":"Turns, rounds and time-keeping systems in games","level":4,"score":0.26100000739097595}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:2510.02560","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.02560","pdf_url":"https://arxiv.org/pdf/2510.02560","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:freidok.uni-freiburg.de:273914","is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/273914","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"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":"preprint"},{"id":"doi:10.48550/arxiv.2510.02560","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.02560","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.4230/lipics.fsttcs.2025.4","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fsttcs.2025.4","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2510.02560","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.02560","pdf_url":"https://arxiv.org/pdf/2510.02560","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"introduce":[1],"and":[2,40,51],"investigate":[3],"the":[4,14,48,54,56,78,93,104,114,149],"computational":[5],"complexity":[6],"of":[7,28,53,92,100],"a":[8,25,65,71,97,132,139],"novel":[9],"physical":[10],"problem":[11,79,107,153],"known":[12],"as":[13,111,113],"Pinball":[15,105],"Wizard":[16,106],"problem.":[17,116],"It":[18],"involves":[19],"an":[20],"idealized":[21],"pinball":[22],"moving":[23,37,126,134],"through":[24],"maze":[26],"composed":[27],"one-way":[29],"gates":[30],"(outswing":[31],"doors),":[32],"plane":[33,38],"walls,":[34,36,39],"parabolic":[35],"bumpers":[41,121],"that":[42,77,148],"cause":[43],"acceleration":[44],"or":[45],"deceleration.":[46],"Given":[47],"initial":[49],"position":[50],"velocity":[52],"pinball,":[55],"task":[57],"is":[58,80,108,154],"to":[59,96,122],"decide":[60],"whether":[61],"it":[62],"will":[63],"hit":[64],"specified":[66],"target":[67],"point.":[68],"By":[69],"simulating":[70],"two-stack":[72],"pushdown":[73],"automaton,":[74],"we":[75],"show":[76],"Turing-complete":[81],"-":[82,138,143],"even":[83,131],"in":[84],"two-dimensional":[85],"space.":[86],"In":[87,128],"our":[88,118],"construction,":[89],"each":[90],"step":[91],"automaton":[94],"corresponds":[95],"constant":[98,136],"number":[99],"reflections.":[101],"Thus,":[102],"deciding":[103],"at":[109,135],"least":[110],"hard":[112],"Halting":[115],"Furthermore,":[117],"construction":[119],"allows":[120],"be":[123,145],"replaced":[124],"with":[125],"walls.":[127],"this":[129],"case,":[130],"ball":[133],"speed":[137],"so-called":[140],"ray":[141],"particle":[142],"can":[144],"used,":[146],"demonstrating":[147],"Ray":[150],"Particle":[151],"Tracing":[152],"also":[155],"Turing-complete.":[156]},"counts_by_year":[],"updated_date":"2025-11-08T23:21:52.890332","created_date":"2025-10-10T00:00:00"}