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An Algebraic Method to Decide the Deduction Problem in Many-Valued Logics

 

作者: Jinzhao Wu,   Hongyan Tan,   Yongli Li,  

 

期刊: Journal of Applied Non-Classical Logics  （Taylor Available online 1998）
卷期: Volume 8, issue 4  

页码: 353-360

 

ISSN:1166-3081

 

年代: 1998

 

DOI:10.1080/11663081.1998.10510951

 

出版商: Taylor & Francis Group

 

关键词: propositional formulas;deduction problem;polynomials;algebraic varieties

 

数据来源: Taylor

 

摘要:

We show that there is a polynomial over the rational number field corresponding to each propositional formula in a given many-valued logic. To decide whether a propositional formula can be deduced from a finite set of such formulas (deduction problem), we only need to decide whether a polynomial vanishes on an algebraic variety. By using Wu's method, an algorithm for this problem is presented.

 

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