{"title":"精益计算多项式的第一步","authors":"James Harold Davenport","doi":"arxiv-2408.04564","DOIUrl":null,"url":null,"abstract":"The proof assistant Lean has support for abstract polynomials, but this is\nnot necessarily the same as support for computations with polynomials. Lean is\nalso a functional programming language, so it should be possible to implement\ncomputational polynomials in Lean. It turns out not to be as easy as the naive\nauthor thought.","PeriodicalId":501033,"journal":{"name":"arXiv - CS - Symbolic Computation","volume":"58 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"First steps towards Computational Polynomials in Lean\",\"authors\":\"James Harold Davenport\",\"doi\":\"arxiv-2408.04564\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The proof assistant Lean has support for abstract polynomials, but this is\\nnot necessarily the same as support for computations with polynomials. Lean is\\nalso a functional programming language, so it should be possible to implement\\ncomputational polynomials in Lean. It turns out not to be as easy as the naive\\nauthor thought.\",\"PeriodicalId\":501033,\"journal\":{\"name\":\"arXiv - CS - Symbolic Computation\",\"volume\":\"58 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Symbolic Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.04564\",\"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 - Symbolic Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.04564","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
First steps towards Computational Polynomials in Lean
The proof assistant Lean has support for abstract polynomials, but this is
not necessarily the same as support for computations with polynomials. Lean is
also a functional programming language, so it should be possible to implement
computational polynomials in Lean. It turns out not to be as easy as the naive
author thought.