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归纳证明在类型理论中的应用研究

Research on the Induction Proof on Type Theory
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摘要 通过类型理论使得程序语言在静态可以检查是否出错,这给程序语言带来许多优势。类型理论中的重要性质包括:弱化规则、删除规则、强化规则等。首先给出了结构归纳法、良基归纳法、规则归纳法和余归纳法的形式化定义。在给出PA4WS进程代数的语法、语义的基础上给出了其类型定义。在此基础上给出了归纳法在PA4WS类型理论性质证明的应用。 There are many advantages of type theory on programming checking programming scripts. The properties of type theory includ languages because it has static e : weaken rule, deleted rule, strength rule etc. The paper formally defines structural induction, well-formed induction, rule induction and co-induction. Then the properties of type theory are proven by induction proof based on Process Algebra for Web Service (PA4WS) after PA4WS syntax, semantic, type theory are given.
作者 袁晓月 黎爽
出处 《江西科学》 2015年第2期248-253,共6页 Jiangxi Science
关键词 归纳法 类型理论 类型性质证明 induction proof type theory properties proofs of type theory
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参考文献8

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