查询词典 propositional calculus

The course contains four sections as follows: mathematical logic (including basic concepts of propositional logic and predicate logic, propositional calculuses and inference theories), set theory (including set algebras, relations, functions and cardinal numbers), algebraic structure (including algebraic systems, semigroups and groups, rings and fields, lattices and Boolean algebras), graph theory (including basic concepts of graph, Euler graphs and Hamiltonian graphs, trees, planar graphs and coloring graphs, some special vertex subsets and edge subsets).

本课程包含四部分内容：数理逻辑（包含命题逻辑与一阶逻辑的基本概念、等值演算以及推理理论），集合论（包含集合代数、二元关系、函数和基数），代数结构（包含代数系统、半群与群、环与域、格与布尔代数），图论（包含图的基本概念、欧拉图与哈密顿图、树、平面图及图的着色、图的某些特殊的顶点子集与边子集）。

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。

But the content of a situated thought cannot be fully captured as propositional content: the content as delivered by the situatedness of the thinker essentially extends beyond anything that the mere propositional construal of the content can deliver.27 Because of this, although the over-all form of a transcendental argument might seem to be of a deductively valid argument e.g.

但是a situated thought的内容不能被完全把握为命题内容：内容作为被思者的situatedness给出，本质上超出了对纯粹的命题解释所能给出的内容。

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。

Prenex normal form of the first order logic propositional is the key to propositional logic. Generally, there are three steps to change get a prenex normal form: first of all get rid of the connection word; Secondly, make the negative word to the front of every atomic.

对于一阶谓词化为其前束范式问题，一般可以通过三个步骤完成，首先去掉逻辑式中的连接词；其次将否定词深入到各原子公式中；最后利用永真等价式将量词逐个移到式子的前部。

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。

A renaming is a function mapping propositional variable to itself or its complement, a variable renaming is a permutation over the set of propositional variables of a formula, and a literal renaming is a combination of a renaming and a variable renaming.

许道云 ，董改芳，王健改名是一个将变元映射到变元本身或它的补的函数，变元改名是公式变元集合上的一个置换，文字改名是一个改名和一个变元改名的组合。

The system showed the procedures of the propositional logic. It is valuable and useful for teaching propositional logic.

程序演示了符合要求的命题式的真值求值过程以及前束范式的化简过程，具有较好的教学演示功能，对计算机辅助教学有一定的现实意义。

In the field of propositional logic in computer logic, the Logic Equivalent of propositional is fundermental.

在逻辑语言的命题演算中，命题式的等价是一个基础性的问题，在判定命题式等价问题中，真值表示比较常用的一个方式。

This paper introduced the some theories of propositional logic, and gave the Computer implementation of the propositional logic calculations based on VC++.

本文在对数理逻辑领域的命题演算课题进行理论研究的基础上，对命题式的真值计算和一阶谓词命题式的前束范式化简进行了基于 VC++平台的编程实现。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。