Examples of using Lambda calculus in English and their translations into Bulgarian
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We will be talking a lot about the lambda calculus and Church's encodings.
Lambda calculus provides a theoretical framework for describing functions and their evaluation.
For example, Alonzo Church was able to express the lambda calculus in a formulaic way.
The lambda calculus emerged in his 1936 paper showing the unsolvability of the Entscheidungsproblem.
Most functional programming languages are based upon the lambda calculus.
The lambda calculus emerged in his famous 1936 paper showing the existence of an"undecidable problem".
Functional programming languages are designed to sit on the lambda calculus.
In this article, the author uses arguments based on lambda calculus to show why software cannot be patented.
Many functional programming languages can be viewed as elaborations on the lambda calculus.
The lambda calculus influenced the design of the LISP programming language and functional programming languages in general.
Many Functional Programming languages can thus be considered as elaborations on this lambda calculus.
Combinatory logic and lambda calculus were both originally developed to achieve a clearer approach to the foundations of mathematics.
Lisp and Scheme support anonymous functions using the"lambda" construct,which is a reference to lambda calculus.
Although(untyped) lambda calculus is Turing-complete, simply typed lambda calculus is not.
Lisp was originally created as a practical mathematical notation for computer programs,influenced by the notation of Alonzo Church's lambda calculus.
Based on the lambda calculus, Lisp soon became the programming language of choice for AI applications after its publication in 1960.
This way of representing the boolean values and the operations on them as functions is called Church's encoding of booleans andis named after Alonzo Church. He used this in the lambda calculus.
Based on the lambda calculus[citation needed], Lisp soon became the programming language of choice for AI applications after its publication in 1960.
Especially since the development of Hindley- Milner type inference in the 1970s,functional programming languages have tended to use typed lambda calculus, as opposed to the untyped lambda calculus used in Lisp and its variants(such as Scheme).
Functional programming has its roots in the lambda calculus, a formal system developed in the 1930s to investigate function definition, function application, and recursion.
Many computer languages require garbage collection, either as part of the language specification( e. g., Java, C, and most scripting languages)or effectively for practical implementation( e. g., formal languages like lambda calculus); these are said to be garbage collected languages.
Functional programming has its roots in lambda calculus, a formal system developed in the 1930s to investigate computability, the Entscheidungs problem, function definition, function application and recursion.
Many programming languages require garbage collection, either as part of the language specification(for example, Java, C, D, Go and most scripting languages) oreffectively for practical implementation(for example, formal languages like lambda calculus); these are said to be garbage collected languages.
Church and Turing then showed that the lambda calculus and the Turing machine used in Turing's halting problem were equivalent in capabilities, and subsequently demonstrated a variety of alternative"mechanical processes for computation.".
Those formalizations included the Gödel- Herbrand- Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's Formulation 1 of 1936, and Alan Turing's Turing machines of 1936- 37 and 1939.
Functional programming has its origins in lambda calculus, a formal system developed in the 1930s to investigate computability, the Entscheidungsproblem, function definition, function application, and recursion.
Church's great discovery was lambda calculus… his remaining contributions were mainly inspired afterthoughts in the sense that most of his contributions, as well as some of his pupils', derive from that initial achievement.”.
Attempt[s] to show that Church's great discovery was lambda calculus and that his remaining contributions were mainly inspired afterthoughts in the sense that most of his contributions, as well as some of his pupils', derive from that initial achievement.