{"id":"https://openalex.org/W1497109150","doi":"https://doi.org/10.1007/3-540-61208-4_14","title":"Efficient loop-check for backward proof search in some non-classical propositional logics","display_name":"Efficient loop-check for backward proof search in some non-classical propositional logics","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1497109150","doi":"https://doi.org/10.1007/3-540-61208-4_14","mag":"1497109150"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-61208-4_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61208-4_14","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/A5076967240","display_name":"Alain Heuerding","orcid":null},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Alain Heuerding","raw_affiliation_strings":["Institut f\u00fcr Informatik und angewandte Mathematik, Universit\u00e4t Bern, Switzerland","Universit\u00e4t Bern\u2020"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik und angewandte Mathematik, Universit\u00e4t Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]},{"raw_affiliation_string":"Universit\u00e4t Bern\u2020","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063013505","display_name":"Michael Seyfried","orcid":null},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Michael Seyfried","raw_affiliation_strings":["Institut f\u00fcr Informatik und angewandte Mathematik, Universit\u00e4t Bern, Switzerland","Universit\u00e4t Bern\u2020"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik und angewandte Mathematik, Universit\u00e4t Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]},{"raw_affiliation_string":"Universit\u00e4t Bern\u2020","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016542929","display_name":"Heinrich Zimmermann","orcid":null},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Heinrich Zimmermann","raw_affiliation_strings":["Institut f\u00fcr Informatik und angewandte Mathematik, Universit\u00e4t Bern, Switzerland","Universit\u00e4t Bern\u2020"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik und angewandte Mathematik, Universit\u00e4t Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]},{"raw_affiliation_string":"Universit\u00e4t Bern\u2020","institution_ids":["https://openalex.org/I118564535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076967240"],"corresponding_institution_ids":["https://openalex.org/I118564535"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.6518,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.96157303,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"210","last_page":"225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9995999932289124,"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":0.9937999844551086,"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/sequent","display_name":"Sequent","score":0.8581615090370178},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.7111332416534424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5132668018341064},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.4797726571559906},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.4497976005077362},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.44968903064727783},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.4367876648902893},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.43301188945770264},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.42759186029434204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4248444437980652},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4229887127876282},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.41860058903694153},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.41281354427337646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4106637239456177},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.40904396772384644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3891316056251526},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.3756411671638489},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.3010214567184448},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.22132736444473267},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.21689659357070923},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.12667253613471985},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.0866851806640625}],"concepts":[{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.8581615090370178},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.7111332416534424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5132668018341064},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.4797726571559906},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.4497976005077362},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.44968903064727783},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.4367876648902893},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.43301188945770264},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.42759186029434204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4248444437980652},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4229887127876282},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.41860058903694153},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.41281354427337646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4106637239456177},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.40904396772384644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3891316056251526},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.3756411671638489},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.3010214567184448},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.22132736444473267},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.21689659357070923},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.12667253613471985},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0866851806640625},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-61208-4_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61208-4_14","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:10.1.1.37.3039","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.3039","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iam.unibe.ch/~til/publications/files/1996/loop_check.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W174245100","https://openalex.org/W1483568252","https://openalex.org/W1491093114","https://openalex.org/W1501130453","https://openalex.org/W1504309167","https://openalex.org/W1512750313","https://openalex.org/W1570374618","https://openalex.org/W1596067335","https://openalex.org/W2073491323","https://openalex.org/W2092765780","https://openalex.org/W2131739376","https://openalex.org/W2169480936","https://openalex.org/W4242309855","https://openalex.org/W4252025696","https://openalex.org/W4285719527","https://openalex.org/W4388310114","https://openalex.org/W7048190923"],"related_works":["https://openalex.org/W1566344352","https://openalex.org/W2154098055","https://openalex.org/W2584381231","https://openalex.org/W1575662350","https://openalex.org/W162254089","https://openalex.org/W9738743","https://openalex.org/W4300885336","https://openalex.org/W3101140609","https://openalex.org/W2037897039","https://openalex.org/W2351433375"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
