{"id":"https://openalex.org/W2096885339","doi":"https://doi.org/10.1017/s0960129502003730","title":"Geometry of Interaction and linear combinatory algebras","display_name":"Geometry of Interaction and linear combinatory algebras","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2096885339","doi":"https://doi.org/10.1017/s0960129502003730","mag":"2096885339"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129502003730","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129502003730","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in 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/A5081687891","display_name":"Samson Abramsky","orcid":"https://orcid.org/0000-0003-3921-6637"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"SAMSON ABRAMSKY","raw_affiliation_strings":["Oxford University Computing Laboratory, Oxford, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oxford University Computing Laboratory, Oxford, U.K","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013695695","display_name":"Esfandiar Haghverdi","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"ESFANDIAR HAGHVERDI","raw_affiliation_strings":["Department of Mathematics, University of Pennsylvania, Philadelphia, PA., U.S.A","Department of Mathematics, University of Pennsylvania, Philadelphia, PA., U.S.A.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, Philadelphia, PA., U.S.A","institution_ids":["https://openalex.org/I79576946","https://openalex.org/I922845939"]},{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, Philadelphia, PA., U.S.A.#TAB#","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061486314","display_name":"Philip Scott","orcid":"https://orcid.org/0000-0002-6289-4260"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"PHILIP SCOTT","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada","Dept. of Mathematics & Statistics, University of Ottawa, Ottawa, Ontario, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"Dept. of Mathematics & Statistics, University of Ottawa, Ottawa, Ontario, Canada#TAB#","institution_ids":["https://openalex.org/I153718931"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.251,"has_fulltext":false,"cited_by_count":155,"citation_normalized_percentile":{"value":0.98977346,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"12","issue":"5","first_page":"625","last_page":"665"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.996399998664856,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6652930974960327},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6190890073776245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5867899656295776},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.5013382434844971},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46367570757865906},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.288127601146698},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21121785044670105}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6652930974960327},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6190890073776245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5867899656295776},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.5013382434844971},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46367570757865906},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.288127601146698},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21121785044670105}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129502003730","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129502003730","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.7818","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.7818","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.upenn.edu/~esfan/main7.ps","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:a7311212-863c-4fea-bfe8-47a215e45dbd","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:a7311212-863c-4fea-bfe8-47a215e45dbd","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Computer Science","raw_type":"Conference item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W172933754","https://openalex.org/W195403090","https://openalex.org/W342302233","https://openalex.org/W1485153875","https://openalex.org/W1494407580","https://openalex.org/W1502758407","https://openalex.org/W1504975584","https://openalex.org/W1517759553","https://openalex.org/W1523853150","https://openalex.org/W1554525902","https://openalex.org/W1561011284","https://openalex.org/W1563218161","https://openalex.org/W1572370762","https://openalex.org/W1604450157","https://openalex.org/W1605765292","https://openalex.org/W1605806361","https://openalex.org/W1961717322","https://openalex.org/W1972464717","https://openalex.org/W1973799895","https://openalex.org/W1974484530","https://openalex.org/W1982733263","https://openalex.org/W2004063149","https://openalex.org/W2005062379","https://openalex.org/W2062024564","https://openalex.org/W2063179190","https://openalex.org/W2081620669","https://openalex.org/W2094685149","https://openalex.org/W2099951171","https://openalex.org/W2102357532","https://openalex.org/W2105475156","https://openalex.org/W2107067818","https://openalex.org/W2124501788","https://openalex.org/W2125995300","https://openalex.org/W2126021517","https://openalex.org/W2156876717","https://openalex.org/W2165446401","https://openalex.org/W2166666657","https://openalex.org/W2313175711","https://openalex.org/W2610888051","https://openalex.org/W2911865844"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885","https://openalex.org/W2963966623"],"abstract_inverted_index":{"We":[0,18,51],"present":[1],"an":[2],"axiomatic":[3],"framework":[4],"for":[5],"Girard's":[6],"Geometry":[7,68],"of":[8,14,38,69],"Interaction":[9],"based":[10],"on":[11,23,55],"the":[12,36,53,61,66],"notion":[13],"linear":[15],"combinatory":[16,49],"algebra.":[17],"give":[19],"a":[20],"general":[21],"construction":[22,54],"traced":[24],"monoidal":[25],"categories,":[26],"with":[27],"certain":[28],"additional":[29],"structure,":[30],"that":[31],"is":[32],"sufficient":[33],"to":[34],"capture":[35],"exponentials":[37],"Linear":[39],"Logic,":[40],"which":[41],"produces":[42],"such":[43],"algebras":[44],"(and":[45],"hence":[46],"also":[47],"ordinary":[48],"algebras).":[50],"illustrate":[52],"six":[56],"standard":[57],"examples,":[58],"representing":[59],"both":[60],"\u2018particle-style\u2019":[62],"as":[63,65],"well":[64],"\u2018wave-style\u2019":[67],"Interaction.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}