查询词典 logic of relations

Fuzzy logic is studied with algebraic tools in this paper. A kind of algebraic abstract of fuzzy logic, Implication Algebra on a partial ordered set, is given. The relations between Implication Algebra and other algebraic structures, such as MV-Algebra and Heyting Algebra etc., and the filter and the structure of Implication Algebra on a partial ordered set are studied.

本文的目的是使用代数工具对模糊逻辑进行研究，给出模糊逻辑的一类代数抽象，即偏序集上的蕴涵代数，研究偏序集上蕴涵代数与其它代数结构，如MV-代数，Heyting代数之间的关系，以及偏序集上蕴涵代数的滤子与其结构等。

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）。

That results in a new class of answer set semantics for ordered logic program including several kinds of already existed semantics. The diverse answer set semantics are compared in detail and a Hasse diagram with respect to set inclusive relations for the semantics is given.

通过证明和举例详细比较了各种回答集语义之间的强弱关系，给出了它们在集合包含关系意义下的哈斯图，证明了各种回答集语义在包含关系下形成格的结构。

If we thinkcarefully, we understand that we often encounter such velocity inour everyday lives. The problem is that the logicof reality restricts our ability to feel it. Inbreaking through pre-existing relations of logic, Dante allows usto see that literary reality is sometimes more real than thereality of our lives.

仔细一想，这样的速度也是我们经常在现实生活中可以感受到的，问题是现实的逻辑常常制止我们的感受能力，但丁打破了原有的逻辑关系后，让我们感到有时候文学中的现实会比生活中的现实更加真实。

In this paper, the author queried a few conclusions in [1] , and elaborated different views on several problems, such as relations between non-Euclidean geometry and real space, relations between mathematical logic and thinking, the significance of Godel s second incompleteness theorem, and so on.

本文对文〔1〕的几个论断提出一些疑问，并在"非欧几何与现实空间"、"数理逻辑与思维"、"哥德尔不完备性定理的意义"等若干问题上表述了与《数学是什么》一文中不同的观点。

It introduces the basic knowledge and ideas of mathematical logic and classic set theory, including proposition logic and predicate logic, reasoning calculus and theorem proving methods, basic operations and properties of sets and relations, functions of any sets and their properties, the cardinals of infinite sets, and the applications of knowledge and ideas above in computer sciences.

本课程系统介绍数理逻辑与朴素集合论的基础知识，包括：命题逻辑和谓词逻辑、定理的推理演算和机器证明方法，集合和二元关系的基本运算和性质、任意集合中的函数及其性质，无穷集合的基数，以及上述知识在计算机科学中的应用。

We call it many-valued logic in that this kind of logic studies logic theory that handles relations of propositions in which propositions have three truth values or more, even infinite, and do not limit in two truth values.

之所以称之为多值逻辑，关键原因在于其所研究的是具有三个或三个以上乃至无穷个真值的命题之间关系的逻辑理论，而不是仅仅限于真假二值。

Analysis is conducted on model checking for three valued logic formulae of modal transition system using existing model checking techniques. We reduce the three valued logic model checking problem for modal transition system to the two valued model checking problem under Kripke structure. This reduction is linear in the number of states, size of transition relations, and number of atomic propositional formulae in the new formed model compared with those in the original model. It does not increase the comple...

分析了现有的模型检验技术应用于模态转移系统的三值逻辑公式的模型检验中存在的问题·提出了把模态转移系统转换成Kripke结构的算法以及三值逻辑公式转换成2个二值逻辑的算法，经过转换后可用现有的模型检验技术进行模型检验·用该算法转换后，状态数、转移数和原子命题数目与原模型呈线性关系，没有增加模型检验的复杂度

In this paper, the authors propose a temporal approaching relation and give a sort of temporal relations of propositions, based on Shoham s temporal logic, they propose a temporal logic which can describe uncertainty relation and is based on time--point and time--interval in proposition and first order case.

本文提出了时态逼近关系，并给出了命题不确定性时态关系的一种分类，在Shoham的时态逻辑基础上，对命题和一阶两种情况，提出了能描述不确定性时态关系，基于时间点和时间区间的时态逻辑。

In this paper, the author queried a few conclusions in [1] , and elaborated different views on several problems, such as relations between non-Euclidean geometry and real space, relations between mathematical logic and thinking, the significance of Godel s second incompleteness theorem, and so on.

本文对文〔1〕的几个论断提出一些疑问，并在&非欧几何与现实空间&、&数理逻辑与思维&、&哥德尔不完备性定理的意义&等若干问题上表述了与《数学是什么》一文中不同的观点。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。