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The Lattice-Valued Turing Machines and the Lattice-Valued Type 0 Grammars

Author

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  • Juan Tang
  • Yong Fang
  • Jian-Gang Tang

Abstract

Purpose. The purpose of this paper is to study a class of the natural languages called the lattice-valued phrase structure languages, which can be generated by the lattice-valued type 0 grammars and recognized by the lattice-valued Turing machines. Design/Methodology/Approach. From the characteristic of natural language, this paper puts forward a new concept of the l-valued Turing machine. It can be used to characterize recognition, natural language processing, and dynamic characteristics. Findings. The mechanisms of both the generation of grammars for the lattice-valued type 0 grammar and the dynamic transformation of the lattice-valued Turing machines were given. Originality/Value. This paper gives a new approach to study a class of natural languages by using lattice-valued logic theory.

Suggested Citation

  • Juan Tang & Yong Fang & Jian-Gang Tang, 2014. "The Lattice-Valued Turing Machines and the Lattice-Valued Type 0 Grammars," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-6, May.
  • Handle: RePEc:hin:jnlmpe:291870
    DOI: 10.1155/2014/291870
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