{"id":"https://openalex.org/W1587852012","doi":"https://doi.org/10.1007/bfb0055143","title":"Proving isomorphism of first-order logic proof systems in HOL","display_name":"Proving isomorphism of first-order logic proof systems in HOL","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1587852012","doi":"https://doi.org/10.1007/bfb0055143","mag":"1587852012"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0055143","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0055143","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/A5088288557","display_name":"Anna Mikhajlova","orcid":null},"institutions":[{"id":"https://openalex.org/I183173800","display_name":"Turku Centre for Computer Science","ror":"https://ror.org/00vy7ed73","country_code":"FI","type":"facility","lineage":["https://openalex.org/I130217899","https://openalex.org/I155660961","https://openalex.org/I183173800"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Anna Mikhajlova","raw_affiliation_strings":["Turku Centre for Computer Science, \u00e5bo Akademi University, Lemmink\u00c4isenkatu 14A, 20520, Turku, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Turku Centre for Computer Science, \u00e5bo Akademi University, Lemmink\u00c4isenkatu 14A, 20520, Turku, Finland","institution_ids":["https://openalex.org/I183173800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062381322","display_name":"Joakim Wright","orcid":null},"institutions":[{"id":"https://openalex.org/I183173800","display_name":"Turku Centre for Computer Science","ror":"https://ror.org/00vy7ed73","country_code":"FI","type":"facility","lineage":["https://openalex.org/I130217899","https://openalex.org/I155660961","https://openalex.org/I183173800"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Joakim von Wright","raw_affiliation_strings":["Turku Centre for Computer Science, \u00e5bo Akademi University, Lemmink\u00c4isenkatu 14A, 20520, Turku, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Turku Centre for Computer Science, \u00e5bo Akademi University, Lemmink\u00c4isenkatu 14A, 20520, Turku, Finland","institution_ids":["https://openalex.org/I183173800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4079,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60285212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"295","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9990000128746033,"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/T10142","display_name":"Formal Methods in Verification","score":0.9878000020980835,"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/natural-deduction","display_name":"Natural deduction","score":0.9191308617591858},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.867093563079834},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.8084429502487183},{"id":"https://openalex.org/keywords/hol","display_name":"HOL","score":0.7267122268676758},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.667625904083252},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.652974545955658},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6434282064437866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.632733941078186},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5671969652175903},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.536316454410553},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.521662712097168},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.5149438977241516},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5041207075119019},{"id":"https://openalex.org/keywords/second-order-logic","display_name":"Second-order logic","score":0.4654432535171509},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.4568312168121338},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4419441819190979},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.42410731315612793},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36850446462631226},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27762842178344727},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2752421498298645},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.2703692317008972},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26366105675697327},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12283337116241455}],"concepts":[{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.9191308617591858},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.867093563079834},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.8084429502487183},{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.7267122268676758},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.667625904083252},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.652974545955658},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6434282064437866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.632733941078186},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5671969652175903},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.536316454410553},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.521662712097168},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.5149438977241516},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5041207075119019},{"id":"https://openalex.org/C144791301","wikidata":"https://www.wikidata.org/wiki/Q1548746","display_name":"Second-order logic","level":4,"score":0.4654432535171509},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.4568312168121338},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4419441819190979},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.42410731315612793},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36850446462631226},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27762842178344727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2752421498298645},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.2703692317008972},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26366105675697327},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12283337116241455},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bfb0055143","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0055143","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:10.1.1.103.5262","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.5262","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://crest.abo.fi/publications/public/1998/TR169.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.18.2106","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.2106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tucs.fi/Publications/techreports/TR169.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W159715351","https://openalex.org/W1521083034","https://openalex.org/W1537854563","https://openalex.org/W1559845600","https://openalex.org/W1587852012","https://openalex.org/W2105505307","https://openalex.org/W2130814620","https://openalex.org/W2568721247","https://openalex.org/W2949436104","https://openalex.org/W4285719527","https://openalex.org/W6676304849","https://openalex.org/W7074685825"],"related_works":["https://openalex.org/W2134382089","https://openalex.org/W162254089","https://openalex.org/W2033813295","https://openalex.org/W1484266479","https://openalex.org/W4289719525","https://openalex.org/W1492421865","https://openalex.org/W1557149243","https://openalex.org/W1836554196","https://openalex.org/W2170954486","https://openalex.org/W2108922266"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
