{"title":"A Note on Finding One-Variable Patterns Consistent with Examples and Counterexamples","authors":"Takeshi Koshiba, K. Hiraishi","doi":"10.1142/9789812704979_0020","DOIUrl":null,"url":null,"abstract":"We consider the problem of finding one-variable patterns consistent with given positive examples and negative examples. We try to give some evidence that the pattern finding problem is computationally difficult by finding an NP-complete graph problem (called MCP) such that the pattern finding problem is a subproblem of MCP. We also give sufficient conditions such that the pattern finding problem is polynomial-time computable and show that some of the conditions are related with solving word-equations in one variable.","PeriodicalId":265391,"journal":{"name":"Words, Languages & Combinatorics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Words, Languages & Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789812704979_0020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the problem of finding one-variable patterns consistent with given positive examples and negative examples. We try to give some evidence that the pattern finding problem is computationally difficult by finding an NP-complete graph problem (called MCP) such that the pattern finding problem is a subproblem of MCP. We also give sufficient conditions such that the pattern finding problem is polynomial-time computable and show that some of the conditions are related with solving word-equations in one variable.
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