{"id":"https://openalex.org/W7225596707","doi":"https://doi.org/10.5281/zenodo.24059612","title":"MA02(01) Composable Mathematical Aggregates: Certified Interfaces, Feedback, and Minimal Observations","display_name":"MA02(01) Composable Mathematical Aggregates: Certified Interfaces, Feedback, and Minimal Observations","publication_year":2026,"publication_date":"2026-11-08","ids":{"openalex":"https://openalex.org/W7225596707","doi":"https://doi.org/10.5281/zenodo.24059612"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24059612","doi":"https://doi.org/10.5281/zenodo.24059612","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24059612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24059612","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140092117","display_name":"Alex Malachevsky","orcid":"https://orcid.org/0009-0008-6009-3196","observed_orcids":["https://orcid.org/0009-0008-6009-3196"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Malachevsky, A.A.","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0008-6009-3196","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5140092117"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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/T10142","display_name":"Formal Methods in Verification","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.001500000013038516,"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"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.00019999999494757503,"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/set-cover","display_name":"set cover","score":0.8330000042915344},{"id":"https://openalex.org/keywords/controlled-invariant-sets","display_name":"controlled invariant sets","score":0.7009999752044678}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6200000047683716},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46619999408721924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45969998836517334},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44029998779296875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4361000061035156},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41370001435279846},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4133000075817108},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.3700999915599823},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.34709998965263367},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.322299987077713},{"id":"https://openalex.org/C2781045450","wikidata":"https://www.wikidata.org/wiki/Q254569","display_name":"Backdoor","level":2,"score":0.3001999855041504},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.2849000096321106},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2818000018596649},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.2728999853134155},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.2599000036716461}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24059612","doi":"https://doi.org/10.5281/zenodo.24059612","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24059612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24059613","doi":"https://doi.org/10.5281/zenodo.24059613","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24059613","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24059612","doi":"https://doi.org/10.5281/zenodo.24059612","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24059612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225580166","https://openalex.org/W7133202100","https://openalex.org/W2271441959","https://openalex.org/W7096580531","https://openalex.org/W7170066472","https://openalex.org/W175266890","https://openalex.org/W7099878655","https://openalex.org/W2910600173","https://openalex.org/W1642207876","https://openalex.org/W4280624917"],"abstract_inverted_index":{"Status":[0],"and":[1,22,40,78,96,139,178],"claim":[2,12],"discipline.":[3],"This":[4],"is":[5,35],"a":[6,11,14,36,41,46,58,63,74,79,84,117,124,159,179],"reproducible":[7],"research":[8],"note,":[9],"not":[10],"of":[13,55,62,108,112],"new":[15],"universal":[16],"mathematical":[17,60],"theory.":[18],"Thesafety-kernel,":[19],"set-cover,":[20],"observation-compatibility":[21],"guarded-feedback":[23],"principles":[24],"are":[25,187],"derived":[26],"from":[27,83],"established":[28],"mathematicalideas.":[29],"The":[30],"contribution":[31],"at":[32],"this":[33],"stage":[34],"precise":[37,180],"engineering-oriented":[38],"integration":[39],"checked":[42],"example;":[43],"substantive":[44],"originalityrequires":[45],"stronger":[47],"theorem":[48],"or":[49,151],"algorithm":[50],"for":[51],"previously":[52],"untreated":[53],"classes":[54],"aggregates.AbstractWe":[56],"study":[57],"literal":[59],"analogue":[61],"sealed":[64],"engineering":[65],"component:":[66],"an":[67,105,140],"aggregate":[68],"with":[69,161,190],"typed":[70],"externalports,":[71],"internal":[72],"transformations,":[73],"specified":[75],"observational":[76],"semantics,":[77],"machine-checkable":[80],"functional":[81],"contract.Starting":[82],"finite":[85,185],"adversarial":[86],"dynamical":[87],"system,":[88],"we":[89],"compute":[90],"its":[91,144],"greatest":[92],"robust":[93],"controlled-invariant":[94],"set":[95],"synthesize":[97],"two":[98,152],"different":[99],"safe":[100,137],"controllers.":[101],"We":[102,165],"then":[103],"derive":[104],"exact":[106],"characterization":[107],"the":[109],"minimal":[110],"number":[111,126],"abstractobservation":[113],"symbols":[114],"needed":[115],"by":[116],"deterministic":[118],"memoryless":[119],"safety":[120],"controller:":[121],"it":[122],"equals":[123],"set-cover":[125],"over":[127],"locally":[128],"admissible":[129],"actions.":[130],"A":[131],"35-state":[132],"example":[133],"has":[134],"20":[135],"initially":[136],"states":[138],"18-state":[141],"winning":[142],"kernel;":[143],"controllerrequires":[145],"exactly":[146],"three":[147],"abstract":[148],"observation":[149],"symbols,":[150],"binary":[153],"port":[154],"bits,":[155],"despite":[156],"depending":[157],"on":[158],"system":[160],"hidden":[162],"thermal":[163],"state.":[164],"give":[166],"proof":[167],"certificates,":[168],"replacement":[169],"conditions,":[170],"counterexamples":[171],"to":[172],"unsafe":[173],"sensor":[174],"merging":[175],"andunguarded":[176],"feedback,":[177],"publication":[181],"novelty":[182],"audit.":[183],"All":[184],"checks":[186],"independently":[188],"repeatable":[189],"astandard-library":[191],"Python":[192],"implementation.":[193]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-11-09T00:00:00"}
