Research on process calculi began in earnest with Robin Milner's seminal work on the Calculus of Communicating Systems(CCS) during the period from 1973 to 1980.
马丁-洛夫开创的直觉类型论提出了依赖类型的概念,直接启发了构造演算(CoC)与LF逻辑框架的建立。
Martin-Löf's intuitionistic type theory developed the notion of dependent types and directly influenced the development of the calculusof constructions and the logical framework LF.
事实上,确定飞机数字面积的问题是演算历史发展的主要动机。
Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.
这个方案的核心是由演算的,离散数学,概率,和统计,以补充由所选择的理论和应用的部件学生们。
The core of this program is composed of calculus, discrete mathematics, probability, and statistics, which complement the theoretical and applied components chosen by student s.
为lambda演算找到模型的一个重要步骤是只考虑保证有最小不动点的那些函数(在这种偏序集合上)。
The important step to find a model for the lambda calculus is to consider only those functions(on such a partially ordered set) which are guaranteed to have least fixed points.
Typed lambda calculi are foundational programming languages and are the base of typed functional programming languages such as ML and Haskell and, more indirectly, typed imperative programming languages.
此外,在lambda演算中,概念比如3和*,不需要任何额外定义基本运算符或常量就可以表示出来。
Moreover, in lambda calculus, notions such as'3' and'∗{\displaystyle*}' can be represented without any need for externally defined primitive operators or constants.
Lambda calculi with dependent types are the base of intuitionistic type theory, the calculus of constructions and the logical framework(LF), a pure lambda calculus with dependent types.
The first logical calculus capable of dealing with such inferences was Gottlob Frege's Begriffsschrift(1879), the ancestor of modern predicate logic, which dealt with quantifiers by means of variable bindings.
In the latter 1930s, Alonzo Church and his students at Princeton invented a rival formalism for functional abstraction, the lambda calculus, which proved more popular than combinatory logic.
这个演绎定理(DT)自身没有公式化为命题演算:它不是命题演算的定理,而是关于命题演算的一个定理。
This deduction theorem(DT) is not itself formulated with propositional calculus: it is not a theorem of propositional calculus, but a theorem about propositional calculus.
Various systems of typed lambda calculus including the simply typed lambda calculus, Jean-Yves Girard's System F, and Thierry Coquand's calculus of constructions are strongly normalizing.
在这个意义上,DT对应于自然条件证明推理规则,它是在本條目中提出的第二个例子的命题演算的一部分。
In this sense, DT corresponds to the natural conditional proof inference rule which is part of the first version of propositional calculus introduced in this article.
Simply typed lambda calculus which is a higher-order logic; intuitionistic type theory; system F; LF is often used to define other type theories; calculus of constructions and its derivatives.
构造演算扩展了这个同构为在完全的直觉谓词逻辑中的证明,这包括了量化陈述(它也叫做"命题")的证明。
The Calculus of Constructions extends this isomorphism to proofs in the full intuitionistic predicate calculus, which includes proofs of quantified statements(which we will also call"propositions").
我建议演算应包含一些要素:.
This calculus I suggest should contain a number of elements.
演算引入并在整个过程中使用。
Calculus is introduced and used throughout the course.
在表面上,lambda演算不允许这样。
On the face of it, lambda calculus does not allow this.
Lambda演算中并没有变量声明的概念。
There is no concept in lambda calculus of variable declaration.
中文
Bahasa indonesia
日本語
عربى
Български
বাংলা
Český
Dansk
Deutsch
Ελληνικά
Español
Suomi
Français
עִברִית
हिंदी
Hrvatski
Magyar
Italiano
Қазақ
한국어
മലയാളം
मराठी
Bahasa malay
Nederlands
Norsk
Polski
Português
Română
Русский
Slovenský
Slovenski
Српски
Svenska
தமிழ்
తెలుగు
ไทย
Tagalog
Turkce
Українська
اردو
Tiếng việt