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命题逻辑

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The study of lattice-valued propositional logic system based on lattice implication algebra.On the bases of previous study, by using the concepts and methods of T algebras we established the lattice-valued propositional logic system LP , whose truth values domain is a lattice implication algebra, and discussed systematically the semantical and syntactical properties of LP , proved the soundness theorem 、consistency theorem、deduction theorem and the decidability of validity of the system when the truth values lattice is finite. We also discussed the relationship between the α-theorem of some premise, say A, and the closed sets that contain A.

本文在前人研究工作的基础上,利用T代数的概念与方法,建立了真值取于格蕴涵代数的格值命题逻辑系统LP,对它的语义及语法性质进行了较系统的研究,得到了它的可靠性定理、协调性定理及演绎定理等,证明了值格有限时系统"有效性"的可判定性并讨论了某一前提A下的α定理与包含A的闭集之间的关系。

The classical proposition logic is the basis of modern formal logic.

经典命题逻辑是现代形式逻辑的基础。

A formula of propositional logic is said to be satisfiable if logical values can be assigned to its variables in a way that makes the formula true.

公式命题逻辑被认为是符合要求,如果逻辑值可分配给它的变量的方式,使真正的公式。

The concept of relative Γ-tautology degree of formulas in four important propositional logics, Lukasiewicz logic, L(superscript *) logic, Gdel logic and product logic, has been proposed, and basic properties of it are obtained.

基于广义重言式理论,在四种重要的命题逻辑系统Lukasiewicz系统,L系统,Gdel系统和Ⅱ系统中,引入了公式的相对Γ-重言度概念,给出了相对Γ-重言度的若干性质。

By establishing the correspondence between the primitive operation in polynomial and clause solution in SAT,an efficient algorithm has been built to obtain all solutions which satisfied the problem.

利用一个简单的变换,将可满足性问题转化为多项式形式,然后根据命题逻辑的性质以及多项式的性质,得到一个求解出SAT问题所有解的算法。

This paper attempts to discuss a kind of non - exact inferences bassed on the model of possible worlds and explains their application in propositional logic and syllogism inference.

借助于可能世界模型,讨论了一类非精确推理,并将其应用于命题逻辑和三段论推理

To describe reasoning methods such as minimizing,multiple reasoning,multi-dimensional reasoning etc.,corresponding rules of inference in lattice-valued propositional logic L_ are introduced.

为描述取小、多重推理、多维推理等实际推理方法,在格值命题逻辑系统Lvp l中,引入了几类相应的推理规则。

To describe reasoningmethods such asminimizing, multiple reasoning, multi-dimensional reasoning etc., corresponding rules of inference in lattice-valued propositional logicLvplare introduced.

为描述取小、多重推理、多维推理等实际推理方法,在格值命题逻辑系统Lvpl中,引入了几类相应的推理规则。

In this paper , we propose a new description method of information processing systems based on propositional logic.

本文针对以上功能,提出了基于命题逻辑的信息处理系统的新的需求描述方法。

To solve the satisfiability problem in propositional logic, many algorithms have been proposed in recent years.

命题逻辑可满足性问题是计算机科学中的一个重要问题。近年来许多学者在这方面进行了大量的研究,提出了不少有效的算法。

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