{"id":"https://openalex.org/W1987185067","doi":"https://doi.org/10.1142/s0218213006002564","title":"THINGS TO KNOW WHEN IMPLEMENTING LPO","display_name":"THINGS TO KNOW WHEN IMPLEMENTING LPO","publication_year":2006,"publication_date":"2006-01-24","ids":{"openalex":"https://openalex.org/W1987185067","doi":"https://doi.org/10.1142/s0218213006002564","mag":"1987185067"},"language":"en","primary_location":{"id":"doi:10.1142/s0218213006002564","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218213006002564","pdf_url":null,"source":{"id":"https://openalex.org/S178780388","display_name":"International Journal of Artificial Intelligence Tools","issn_l":"0218-2130","issn":["0218-2130","1793-6349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal on Artificial Intelligence Tools","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/A5019360787","display_name":"Bernd L\u00f6chner","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"BERND L\u00d6CHNER","raw_affiliation_strings":["FB Informatik, Technische Universit\u00e4t Kaiserslautern, Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"FB Informatik, Technische Universit\u00e4t Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019360787"],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":2.7105,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.9020873,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"01","first_page":"53","last_page":"79"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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":0.9991000294685364,"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/T10260","display_name":"Software Engineering Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.891541063785553},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.8359705805778503},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7777131199836731},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6039231419563293},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49910950660705566},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4912106394767761},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4637247920036316},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4392845332622528},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3747475743293762},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36054378747940063},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23342159390449524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.07404646277427673}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.891541063785553},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.8359705805778503},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7777131199836731},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6039231419563293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49910950660705566},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4912106394767761},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4637247920036316},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4392845332622528},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3747475743293762},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36054378747940063},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23342159390449524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07404646277427673},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218213006002564","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218213006002564","pdf_url":null,"source":{"id":"https://openalex.org/S178780388","display_name":"International Journal of Artificial Intelligence Tools","issn_l":"0218-2130","issn":["0218-2130","1793-6349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal on Artificial Intelligence Tools","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1521419290","https://openalex.org/W1585533089","https://openalex.org/W1586601367","https://openalex.org/W1642570649","https://openalex.org/W1837006857","https://openalex.org/W1965784613","https://openalex.org/W2023299380","https://openalex.org/W2041678518","https://openalex.org/W3021880308","https://openalex.org/W4213157689","https://openalex.org/W4230919050"],"related_works":["https://openalex.org/W1985455246","https://openalex.org/W1993634787","https://openalex.org/W3125614403","https://openalex.org/W1667647204","https://openalex.org/W2404647514","https://openalex.org/W2476923378","https://openalex.org/W4247536566","https://openalex.org/W2803221307","https://openalex.org/W2018477250","https://openalex.org/W1496191775"],"abstract_inverted_index":{"The":[0,23],"Lexicographic":[1],"Path":[2],"Ordering":[3],"(LPO)":[4],"poses":[5],"an":[6,32],"interesting":[7],"problem":[8],"to":[9,13,30,58,73],"the":[10,38,50,63,67],"implementor:":[11],"How":[12],"achieve":[14],"a":[15],"version":[16,34],"that":[17,49],"is":[18,53],"both":[19],"efficient":[20,33],"and":[21],"correct?":[22],"method":[24],"of":[25,66],"program":[26],"transformation":[27],"helps":[28],"us":[29,72],"develop":[31],"step-by-step,":[35],"making":[36],"clear":[37],"essential":[39],"ideas,":[40],"while":[41],"retaining":[42],"correctness.":[43],"By":[44],"theoretical":[45],"analysis":[46],"we":[47],"show":[48,62],"worst-case":[51],"behavior":[52],"thereby":[54],"changed":[55],"from":[56],"exponential":[57],"polynomial.":[59],"Detailed":[60],"measurements":[61],"practical":[64],"improvements":[65],"different":[68],"variants.":[69],"They":[70],"allow":[71],"assess":[74],"experimentally":[75],"various":[76],"optimizations":[77],"suggested":[78],"for":[79],"LPO.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}