查询词典 propositional calculus

This paper proves that it is impossible for all the theorems in classical propositional calculus to be tautologies in the field of fuzzy propositional calculus, then a quasi formal deductive system is established for fuzzy propositional calculus based on a kind of type algebra.

引入了一种代数，称为模糊公式代数。在这种代数上建立了一个准形式演绎系统，证明了相应的可靠性定理与相容性定理，提出了程度化的ModusPonens规则和HypotheticalSylogism规则

In chapter 2, to meet the application requirements of incomplete information system, based on propositional connectives ∧、∨、→、ヲ、～ and ～, we construct medium logic propositional calculus system MP〓 and medium logic predicate calculus system MF〓.

第一章：简要说明不完全信息数据库和模糊数据库研究的目的和意义，介绍中介逻辑和模糊数据库的发展、模糊数据库系统的特性以及本文的主要研究工作。

Based on the outcome of Xu Yang and Qin Keyun about lattice implication algebra and lattice-valued prepositional logic LP with truth-value in a lattice implication algebra, the author studied the properties of lattice implication algebra and the α-automated reasoning method based on α-resolution principle of LP. The specific contents are as follows: The Study of Lattice Implication Algebra On the basis of previous results of lattice implication algebra, this part consists of the following three points: 1. Some properties of lattice implication algebra L were discussed, and some important results were given if L was a complete lattice implication algebra. 2. The properties of left idempotent elements of lattice implication algebras were discussed, and the conclusion that lattice implication algebra L was equals of the directed sum of the range and dual kernel of a left map constructed by a left idempotent element was proved. 3. The properties of the filters of lattice implication algebra were discussed, the theorem was shown that they satisfy the hypothetical syllogism and substitute theorem of the propositional logic. 4. The concept of weak niters of lattice implication algebras and their properties and structures are discussed. It is proved that all weak filters of a lattice implication algebra form a topology and the the implication isomorphism betweem two lattice implication algebras is a topological mapping between their topological spaces. The Study of α-automated reasoning method based on the lattice-valued propositional logic LP In this part, the author given an a-automated reasoning method based on the lattice-valued propositional logic LP.

本文基于徐扬和秦克云的关于格蕴涵代数和以格蕴涵代数为真值域的格值命题逻辑系统LP的研究工作，对格蕴涵代数以及格值命题逻辑系统LP中基于α-归结原理的自动推理方法进行了系统深入的研究，主要有以下两方面的研究成果：一、关于格蕴涵代数的研究 1、对格蕴涵代数的格论性质进行了研究，得到了当L为完备格蕴涵代数时，关于∨，∧，→运算的一些结果； 2、对格蕴涵代数的左幂等元进行了研究，证明了格蕴涵代数L可以分解为任何一个左幂等元所对应的左映射的像集合与其对偶核的直和； 3、对格蕴涵代数的滤子的性质进行了研究，证明了滤子的结构相似于逻辑学中的Hypothetical syllogism规则和替换定理； 4、给出了格蕴涵代数中弱滤子的概念，对弱滤子的性质个结构进行了研究，证明了格蕴涵代数的全体弱滤子构成一个拓扑结构，格蕴涵代数之间的蕴涵同构是相应的拓扑空间之间的拓扑映射。

Using differential calculus knowledge to testify inequality, Calculus of higher mathematics is the core and calculus method of higher mathematics is typical of the whole mathematical method, the method is introduced for calculus ideas to solve the problem of finding an inequation, to make way for obtaining inequalities can be simple, the application of differential mid-value theorem and Taylor formula illustrate some of the inequality proof method.

运用微分学知识证明不等式；微积分是高等数学的核心，微积分思想方法是高等数学乃至整个数学的典型方法，微积分思想方法的引入为解决不等式证明的难题找到了突破，用来解不等式可使解题思路变得简单，文章应用微分中值定理及泰勒公式举例说明了部分不等式的证明方法。

The calcalus learns is a mathematic branch connected closely with scientific application.Infinitesimal is an important componant in the theoretical system and has an outstanding effect on the forming of the basis and conception of the theory. infinitesimal ; calculus ; the calculus learns ; differential calculus ; integral calculus

引 言微积分学是建立在实数、函数和极限理论基础上，研究函数微分、积分以及有关概念与应用的数学分支。17世纪精密科学的飞速发展，天文学、力学、光学、工业技术要求数学彻底革新，导致了无穷小概念的问世，促使费马增量理论开创微分学的先河，同时奠定了柯西的极限理论。

In SPVT (security protocol verifying tool), the specification language is the π-like calculus extended with three appendixes, the Dolev-Yao model is described with Horn logic rules, the π-like calculus model of security protocol is transformed into the logic program model by abstract rules, the security properties are verified based on the calculus of the logic program's fixpoint, and the counter-examples on security properties are constructed from the process of the fixpoint calculus and the process of the property verification.

在SPVT中，以扩展附加项的类演算作为安全协议描述语言，以扩展附加项的Horn逻辑规则描述协议攻击者的Dolev-Yao模型，通过一组抽象规则将安全协议的类(演算模型转换为逻辑程序模型，基于安全协议逻辑程序的不动点计算验证安全性质，从安全协议逻辑程序的不动点计算和安全性质的验证过程中构造不满足安全性质的安全协议反例。

Prolonged markedly the time of sleep in mice with the hypnotic effect induced by phenobarbital sodium, while SWNH (50 mg/kg), the natural calculus bovis (100 mg/kg), and the artificial calculus bovis (100 mg/kg) did not. SWNH (500, 1,000, 2,000 mg/kg), the natural calculus bovis (1,000 mg/kg), and the artificial calculus bovis (1,000 mg/kg) i.g.

生物牛黄中间体100mg/kg体重、150mg/kg体重腹腔注射给药，可使苯巴比妥钠引起的小鼠睡眠时间明显延长；生物牛黄中间体50mg/kg体重、天然牛黄100mg/kg体重和人工牛黄100mg/kg体重对睡眠时间的延长无明显影响。

During the study of incidence calculus theory, we firstly clarified original incidence calculus and the probabilistic reasoning mechanism on it. We then introduced the improvement of generalized incidence calculus theory proposed by Liu~[18], which establishes incidence calculus theory on Lukasiewiczs three valued logic.

本文首先阐述了原始的发生率计算理论及其上的概率推理机制，然后引入Liu对该理论的改进，以Lukasiewicz三值逻辑为基础，并提出了这个扩展的理论与证据理论之间的等价关系。

As most of the present decision methods of propositional formulas are based on semantics and cannot give an important reference in many reasoning applications, namely deduction procedure, a deduction-based decision method that can give the deduction procedure during the decision procedure is presented based on the propositional calculus system L.

目前命题公式的判定方法大都是基于语义的，不能给出演绎过程，而演绎过程是许多推理性应用的重要依据。

In 1879, the publication of ""Concept Writing"" marks the foundation of propositional calculus and the predicate calculus —— the basic part of mathematical logic.

1879年《概念文字》的出版，标志着数理逻辑的基础部分——命题演算和谓词演算正式建立。

You have to walk your own alk in this life.

次生中你必须走自己的路。

To start with, the thesis analyses ***ism in terms of the generic masculine words, word order and semantic derogation of women in greater detail.

论文首先从阳性词泛指，词序，词义的贬降等方面对英语中的性别歧视现象进行了详细的分析。