{"title":"量子自动机和有限指数语言","authors":"Andrea Benso, Flavio D'Alessandro, Paolo Papi","doi":"arxiv-2406.13797","DOIUrl":null,"url":null,"abstract":"This paper is a continuation of a previous study on the so-called measure\nonce finite quantum automata model introduced by Moore and Crutchfield in 2000.\nWe investigate conditions assuring that, given a language recognized by such a\ndevice and a language generated by a context-free grammar of finite index or by\na matrix context-free grammar, it is recursively decidable whether or not they\nhave a nonempty intersection.","PeriodicalId":501124,"journal":{"name":"arXiv - CS - Formal Languages and Automata Theory","volume":"206 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum automata and languages of finite index\",\"authors\":\"Andrea Benso, Flavio D'Alessandro, Paolo Papi\",\"doi\":\"arxiv-2406.13797\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is a continuation of a previous study on the so-called measure\\nonce finite quantum automata model introduced by Moore and Crutchfield in 2000.\\nWe investigate conditions assuring that, given a language recognized by such a\\ndevice and a language generated by a context-free grammar of finite index or by\\na matrix context-free grammar, it is recursively decidable whether or not they\\nhave a nonempty intersection.\",\"PeriodicalId\":501124,\"journal\":{\"name\":\"arXiv - CS - Formal Languages and Automata Theory\",\"volume\":\"206 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Formal Languages and Automata Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.13797\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Formal Languages and Automata Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.13797","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper is a continuation of a previous study on the so-called measure
once finite quantum automata model introduced by Moore and Crutchfield in 2000.
We investigate conditions assuring that, given a language recognized by such a
device and a language generated by a context-free grammar of finite index or by
a matrix context-free grammar, it is recursively decidable whether or not they
have a nonempty intersection.