命题逻辑

Then we deeply studied the completeness of LP . Consequently, we established:(1) The completeness theorem of LP with truth-value in finite Lukasiewiczchain;(2) The completeness theorem of LP with truth-value in complete and atomic lattice implication algebras;(3) The completeness theorem of LP with truth-value in injective lattice implication algebras.

建立了：（1）基于Lukasiewicz有限链的格值命题逻辑系统LP的完备性定理；（2）基于完备的且原子的格蕴涵代数的格值命题逻辑系统LP的完备性定理；（3）基于内射的格蕴涵代数的格值命题逻辑系统LP的完备性定理。

Using the infinite product of unevenly distributed probability space with potential of 3, the concept of formula truth degree was introduced into the Gdel 3-valued propositional logic system. Moreover, it was proved that in the 3-value (1/4, 1/2, 1/4), measure the set of truth of degree of propositions was dense in [0, 1], and a general expression of truth degree was obtained, providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

利用势为3的非均匀概率空间的无穷乘积，在Gdel三值命题逻辑系统中引入公式的真度概念，在三值逻辑(四分之一，二分之一，四分之一)测度下证明G3中全体公式的真度值之集在[0， 1]上是稠密的，并给出公式真度的表达通式，为进一步在三值命题逻辑系统中展开近似推理奠定基础。

Proposition logic takes the proposition as the fundamental research object mathematization logical system,propo- sition logic is the mathematical logic foundation,also is the theoretical basic of computer science and the technical.

命题逻辑是一个以命题为基本研究对象的数学化的逻辑系统，命题逻辑是数理逻辑的基础，也是计算机科学与技术的理论基础。

Finally,a simplified case of BOFL,i.e.Boolean Operator Propositional Logicestablished on a Boolean algebra,is further discussed.A complete algorithmfor finding the true level and false level of a formula in BOPL,which subsumes the re-lated work by Wang H.in the propositional logic,is also provided.

对布尔算子模糊逻辑的简化情形一布尔算子命题逻辑作了进一步讨论，放宽了对真值域的要求，将布尔算子命题逻辑建立在布尔代数上，并推广了命题逻辑中的王浩算法，给出了一个完备的求给定公式恒真水平和恒假水平的机械推导算法。

Having combination of the theory of truth degree in metrology of logic with the theory of ∑-α-tautologies in fuzzy logic, which have been introduced by professor G.J.Wang, the theory of ∑Γ-truth degree was introduced, and its properties which induce a pseudometric on F were investigated. The results gained have complemented and enhanced the original theory, and the work delivers a new frame for fuzzy reasoning.

将模糊命题逻辑中的∑-α-重言式理论与计量逻辑学中的真度理论相结合，在经典二值命题演算系统L中引入了公式相对于有限理论的∑Γ-真度理论，较为详细地讨论了它们的性质，并利用∑Γ-真度的性质在公式集F上引入了ρΓ-伪距离，对原有的理论进行了加强和补充，为在模糊命题逻辑系统的有限理论中讨论结论的程度化问题奠定了基础。

Prepositional logic: also known as prepositional calculus or sentential calculus, is the study of the truth conditions for propositions: how the truth of a composite proposition is determined by the truth value of its constituent propositions and the connections between them.

命题逻辑：也叫命题演算或句子演算，研究命题的真值条件：复合命题真值是如何由成分命题真值及成分命题之间的关系决定的。

Prepositional logic 命题逻辑:---- also known as prepositional calculus or sentential calculus,is the study of the truth conditions for propositions:how the truth of a composite propositions and the connection between them.

也叫命题演算或句子演算，研究命题的真值条件复合命题真值是如何由成分命题真值及成分命题之间的关系决定的。

Finally, the given symbolic logic formula can prove the rationality of component model and validity of framework extension.

在分析了框架元模型组成元素的基础上，应用面向领域的特征模型的方法，对构件模型组织结构进行统一的抽象和描述，并用命题逻辑公式来表示构件之间的逻辑关系和语义约束；用UniCon语言给出了扩展点及其依赖关系的表示方式；最后通过给定的命题逻辑规则公式来验证构件模型的合理性、框架扩展的正确性。

This deontic logic should be logic about normal propositions rather than logic ab...

但是 ，在行动逻辑基础上构建的道义逻辑是一个有关规范命题的逻辑，而不是规范的逻辑，在相当程度上也可以看成是一个规范命题逻辑和规范逻辑的混成物。

This deontic logic should be logic about normal propositions ra...

但是 ，在行动逻辑基础上构建的道义逻辑是一个有关规范命题的逻辑，而不是规范的逻辑，在相当程度上也可以看成是一个规范命题逻辑和规范逻辑的混成物。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。