Semantic minimization of 3-valued propositional formulae

Semantic minimization of 3-valued propositional formulae
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三值命题公式的语义最小化

DOI:
10.1109/lics.2002.1029816
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发表时间:
2002
期刊:
Proceedings 17th Annual IEEE Symposium on Logic in Computer Science
影响因子:
--
通讯作者:
Shmuel Sagiv
Shmuel Sagiv
中科院分区:
--
文献类型:
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作者:
T. Reps;Alexey Loginov;Shmuel Sagiv

文献摘要

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本文给出了一个三值命题逻辑中的非标准逻辑最小化问题的算法。这个问题的动机是在使用3值逻辑的应用程序中获得更好的答案的潜力。答案为0或1提供精确(明确)信息;答案为1/2提供不精确(不确定)信息。通过用“更好的”公式/spl psi/替换公式/spl phi/,我们可以提高所获得的答案的精度。在本文中,我们给出了一个算法,总是产生一个公式,是“最好的”(在一定的定义良好的意义)。
This paper presents an algorithm for a non-standard logic-minimization problem that arises in 3-valued propositional logic. The problem is motivated by the potential for obtaining better answers in applications that use 3-valued logic. An answer of 0 or 1 provides precise (definite) information; an answer of 1/2 provides imprecise (indefinite) information. By replacing a formula /spl phi/ with a "better" formula /spl psi/, we may improve the precision of the answers obtained. In this paper we give an algorithm that always produces a formula that is "best" (in a certain well-defined sense).