{"id":"https://openalex.org/W214054561","doi":null,"title":"Counting Paths in Computer Programs","display_name":"Counting Paths in Computer Programs","publication_year":1988,"publication_date":"1988-05-01","ids":{"openalex":"https://openalex.org/W214054561","mag":"214054561"},"language":"en","primary_location":{"id":"mag:214054561","doi":null,"is_oa":false,"landing_page_url":"https://apps.dtic.mil/dtic/tr/fulltext/u2/a199333.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5031821136","display_name":"Brian Bramson","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"B D Bramson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5031821136"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10260","display_name":"Software Engineering Research","score":0.6133000254631042,"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"}},"topics":[{"id":"https://openalex.org/T10260","display_name":"Software Engineering Research","score":0.6133000254631042,"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/T10126","display_name":"Logic, programming, and type systems","score":0.31619998812675476,"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"}},{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":0.012400000356137753,"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/path-counting","display_name":"path counting","score":0.8650000095367432},{"id":"https://openalex.org/keywords/software-complexity","display_name":"software complexity","score":0.8149999976158142},{"id":"https://openalex.org/keywords/path-algebras","display_name":"path algebras","score":0.6700000166893005},{"id":"https://openalex.org/keywords/directed-graphs","display_name":"directed graphs","score":0.800000011920929},{"id":"https://openalex.org/keywords/program-analysis","display_name":"program analysis","score":0.6460000276565552},{"id":"https://openalex.org/keywords/recursion","display_name":"recursion","score":0.7549999952316284},{"id":"https://openalex.org/keywords/malpas","display_name":"Malpas","score":0.7369999885559082}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7384641170501709},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7090499997138977},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.5909661650657654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5888339281082153},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.522991418838501},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.485739529132843},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46760717034339905},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.44923123717308044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4477446675300598},{"id":"https://openalex.org/C2777362769","wikidata":"https://www.wikidata.org/wiki/Q40056","display_name":"Computer program","level":2,"score":0.4338109493255615},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42934924364089966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3453753888607025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3317177891731262},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2364332377910614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11895474791526794},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0801631510257721},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07454332709312439},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","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}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:214054561","doi":null,"is_oa":false,"landing_page_url":"https://apps.dtic.mil/dtic/tr/fulltext/u2/a199333.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7096945703","https://openalex.org/W2064708267","https://openalex.org/W2116041576","https://openalex.org/W7046425862","https://openalex.org/W2045176168","https://openalex.org/W2899642440","https://openalex.org/W1496704706","https://openalex.org/W4388214483","https://openalex.org/W2349549070","https://openalex.org/W2349107308"],"abstract_inverted_index":{"Abstract":[0],":":[1],"An":[2],"algebraic":[3,43],"method":[4],"is":[5,30,45],"presented":[6],"for":[7],"assessing":[8],"the":[9,62,79],"numbers":[10],"of":[11,16,24,32,47,74,81],"paths":[12],"through":[13],"loop-free":[14],"portions":[15],"computer":[17],"programs,":[18],"thus":[19],"providing":[20],"a":[21,33,48],"useful":[22],"measure":[23],"complexity.":[25],"The":[26,42,56],"underlying":[27],"program":[28],"model":[29],"that":[31,46],"directed":[34],"graph,":[35],"though":[36],"this":[37],"does":[38],"not":[39],"exclude":[40],"recursion.":[41],"structure":[44],"path":[49],"algebra":[50],"but":[51],"with":[52],"one":[53],"axiom":[54],"relaxed.":[55],"theory":[57],"has":[58,69],"been":[59],"implemented":[60],"within":[61],"Malvern":[63],"Program":[64],"Analysis":[65],"Suite":[66],"(MALPAS).":[67],"Experience":[68],"shown":[70],"it":[71],"to":[72],"be":[73],"particular":[75],"value":[76],"in":[77],"guiding":[78],"analysis":[80],"large":[82],"programs.":[83]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}
