计算机科学 ›› 2017, Vol. 44 ›› Issue (7): 57-60.doi: 10.11896/j.issn.1002-137X.2017.07.010

• 2016 年全国理论计算机科学学术年会 • 上一篇    下一篇

量化上下文无关语言的代数性质

付雯静,韩召伟   

  1. 陕西师范大学数学与信息科学学院 西安710119,陕西师范大学数学与信息科学学院 西安710119
  • 出版日期:2018-11-13 发布日期:2018-11-13
  • 基金资助:
    本文受国家自然科学基金资助

Algebraic Properties of Quantitative Context-free Languages

FU Wen-jing and HAN Zhao-wei   

  • Online:2018-11-13 Published:2018-11-13

摘要: 通过引入量化下推自动机与量化上下文无关文法的定义,研究了以两种不同方式接受语言的量化下推自动机等价性问题,证明了在可交换的双幺赋值幺半群上,量化下推自动机接受的语言与量化上下文无关文法生成的语言相同。

关键词: 双幺赋值幺半群,量化下推自动机,量化上下文无关文法,量化上下文无关语言

Abstract: By introducing the concepts of quantitative pushdown automata and quantitative context-free grammars,this paper investigated the equivalent relation that a quantitative language can be accepted by quantitative pushdown automatain two different ways.It is showed the fact that quantitative pushdown automata can accept the same quantitative context-free languages which are generated by quantitative context-free grammars over commutative double unital valuation monoid in the meanwhile.

Key words: Double unital valuation monoid,Quantitative pushdown automaton,Quantitative context-free grammar,Quantitative context-free language

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