吉林大学学报(工学版) ›› 2016, Vol. 46 ›› Issue (6): 2021-2026.doi: 10.13229/j.cnki.jdxbgxb201606035

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Expressive power of decidable subclasses of open proxcheme

ZHANG Wei1, LIU Yu-hui2   

  1. 1.College of Computer Science and Engineering, Northeastern University, Shenyang 110819, China;
    2.Research Academy, Northeastern University, Shenyang 110819, China
  • Received:2015-07-02 Online:2016-11-20 Published:2016-11-20

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Abstract: An algorithm for OPEN proxcheme is proposed that functions in the two maximal decidable classes of first-order logic. The algorithm iteratively revises the formal theories according to new information and completes the evolution of the formal theories. The expressive power of the OPEN proxcheme is discussed. It is demonstrated that the OPEN proxcheme and R-calculus preserve the decidability of formulas in the two maximal decidable classes. Since the decision problem for modal logic and FO2 can be transferred to that of the two maximal decidable classes, it can be concluded that the OPEN proxcheme and R-calculus are more expressive than the modal logic and FO2. Practical examples, such as hardware description and verification, are provided.

Key words: artificial intelligence, belief revision, OPEN proxcheme, decidable logic formula classes, expressive power, mechanical theorem proving

CLC Number: 

  • TP181
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