{"id":"https://openalex.org/W129348609","doi":"https://doi.org/10.1007/978-3-642-32621-9_1","title":"Formalizing Turing Machines","display_name":"Formalizing Turing Machines","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W129348609","doi":"https://doi.org/10.1007/978-3-642-32621-9_1","mag":"129348609"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-32621-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-32621-9_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5032765727","display_name":"Andrea Asperti","orcid":"https://orcid.org/0000-0002-9677-6350"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Andrea Asperti","raw_affiliation_strings":["Department of Computer Science, University of Bologna, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068699841","display_name":"Wilmer Ricciotti","orcid":"https://orcid.org/0000-0002-2361-8538"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Wilmer Ricciotti","raw_affiliation_strings":["Department of Computer Science, University of Bologna, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032765727"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3077,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86151183,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9965000152587891,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.842119574546814},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.7759034633636475},{"id":"https://openalex.org/keywords/super-recursive-algorithm","display_name":"Super-recursive algorithm","score":0.696465015411377},{"id":"https://openalex.org/keywords/universal-turing-machine","display_name":"Universal Turing machine","score":0.6401941776275635},{"id":"https://openalex.org/keywords/time-hierarchy-theorem","display_name":"Time hierarchy theorem","score":0.5953229665756226},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5940476655960083},{"id":"https://openalex.org/keywords/turing-machine-examples","display_name":"Turing machine examples","score":0.5701106786727905},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5509960055351257},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5071413516998291},{"id":"https://openalex.org/keywords/description-number","display_name":"Description number","score":0.4989054203033447},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.4774530529975891},{"id":"https://openalex.org/keywords/nspace","display_name":"NSPACE","score":0.4719352424144745},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4291062355041504},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4129922389984131},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13354462385177612},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.09609618782997131},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.061084628105163574}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.842119574546814},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.7759034633636475},{"id":"https://openalex.org/C31402856","wikidata":"https://www.wikidata.org/wiki/Q5295939","display_name":"Super-recursive algorithm","level":5,"score":0.696465015411377},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.6401941776275635},{"id":"https://openalex.org/C48415503","wikidata":"https://www.wikidata.org/wiki/Q5251122","display_name":"Time hierarchy theorem","level":5,"score":0.5953229665756226},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5940476655960083},{"id":"https://openalex.org/C21176728","wikidata":"https://www.wikidata.org/wiki/Q7854963","display_name":"Turing machine examples","level":5,"score":0.5701106786727905},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5509960055351257},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5071413516998291},{"id":"https://openalex.org/C179061269","wikidata":"https://www.wikidata.org/wiki/Q5263786","display_name":"Description number","level":5,"score":0.4989054203033447},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.4774530529975891},{"id":"https://openalex.org/C201958364","wikidata":"https://www.wikidata.org/wiki/Q1756295","display_name":"NSPACE","level":5,"score":0.4719352424144745},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4291062355041504},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4129922389984131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13354462385177612},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.09609618782997131},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.061084628105163574},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-32621-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-32621-9_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.295.7699","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.295.7699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.unibo.it/~asperti/PAPERS/turing.pdf","raw_type":"text"},{"id":"pmh:oai:cris.unibo.it:11585/126640","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/126640","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W134510267","https://openalex.org/W421997344","https://openalex.org/W987035227","https://openalex.org/W1494553505","https://openalex.org/W1527197079","https://openalex.org/W1576888058","https://openalex.org/W1590111213","https://openalex.org/W1594381772","https://openalex.org/W1911738067","https://openalex.org/W1975754030","https://openalex.org/W1982618236","https://openalex.org/W1985096049","https://openalex.org/W1994584977","https://openalex.org/W2000062667","https://openalex.org/W2002089154","https://openalex.org/W2004471951","https://openalex.org/W2014219554","https://openalex.org/W2019404692","https://openalex.org/W2025431400","https://openalex.org/W2027796826","https://openalex.org/W2029872977","https://openalex.org/W2047442766","https://openalex.org/W2069980124","https://openalex.org/W2090627896","https://openalex.org/W2102919742","https://openalex.org/W2113936998","https://openalex.org/W2122761321","https://openalex.org/W2125495920","https://openalex.org/W2126160338","https://openalex.org/W2129695855","https://openalex.org/W2133921140","https://openalex.org/W2144645833","https://openalex.org/W2152478133","https://openalex.org/W2166662837","https://openalex.org/W2408316610","https://openalex.org/W2797656628","https://openalex.org/W3012896203","https://openalex.org/W3122284613","https://openalex.org/W4235178139","https://openalex.org/W4236999398","https://openalex.org/W4250385818","https://openalex.org/W4298227433"],"related_works":["https://openalex.org/W3014863312","https://openalex.org/W195780958","https://openalex.org/W1662868588","https://openalex.org/W2156308118","https://openalex.org/W1526857708","https://openalex.org/W293759077","https://openalex.org/W1838451616","https://openalex.org/W2547364878","https://openalex.org/W2950858429","https://openalex.org/W2341138125"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
