Let Expression
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Let Expression
In computer science, a "let" expression associates a function definition with a restricted scope. The "let" expression may also be defined in mathematics, where it associates a Boolean condition with a restricted scope. The "let" expression may be considered as a lambda abstraction applied to a value. Within mathematics, a let expression may also be considered as a conjunction of expressions, within an existential quantifier which restricts the scope of the variable. The let expression is present in many functional languages to allow the local definition of expression, for use in defining another expression. The let-expression is present in some functional languages in two forms; let or "let rec". Let rec is an extension of the simple let expression which uses the fixed-point combinator to implement recursion. History Dana Scott's LCF language was a stage in the evolution of lambda calculus into modern functional languages. This language introduced the let expressio ...
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Function (computer Science)
In computer programming, a function (also procedure, method, subroutine, routine, or subprogram) is a callable unit of software logic that has a well-defined interface and behavior and can be invoked multiple times. Callable units provide a powerful programming tool. The primary purpose is to allow for the decomposition of a large and/or complicated problem into chunks that have relatively low cognitive load and to assign the chunks meaningful names (unless they are anonymous). Judicious application can reduce the cost of developing and maintaining software, while increasing its quality and reliability. Callable units are present at multiple levels of abstraction in the programming environment. For example, a programmer may write a function in source code that is compiled to machine code that implements similar semantics. There is a callable unit in the source code and an associated one in the machine code, but they are different kinds of callable units with different impl ...
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British Computer Society
image:Maurice Vincent Wilkes 1980 (3).jpg, Sir Maurice Wilkes served as the first President of BCS in 1957. The British Computer Society (BCS), branded BCS, The Chartered Institute for IT, since 2009, is a professional body and a learned society that represents those working in information technology (IT), computing, software engineering, computer engineering and computer science, both in the United Kingdom and internationally. Founded in 1957, BCS has played an important role in educating and nurturing IT professionals, computer scientists, software engineers, computer engineers, upholding the profession, accrediting Chartered IT Professional (CITP) and Chartered Engineer (UK), Chartered Engineer (CEng) status, and creating a global community active in promoting and furthering the field and practice of computing. Overview With a worldwide membership of 57,625 members as of 2021, BCS is a registered Charitable organization, charity and was incorporated by Royal Charter in ...
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Constraint Logic Programming
Constraint logic programming is a form of constraint programming, in which logic programming is extended to include concepts from constraint satisfaction. A constraint logic program is a logic program that contains constraints in the body of clauses. An example of a clause including a constraint is . In this clause, is a constraint; A(X,Y), B(X), and C(Y) are Literal (mathematical logic), literals as in regular logic programming. This clause states one condition under which the statement A(X,Y) holds: X+Y is greater than zero and both B(X) and C(Y) are true. As in regular logic programming, programs are queried about the provability of a goal, which itself may contain constraints in addition to literals. A proof for a goal is composed of clauses whose bodies are satisfiable constraints and literals that can in turn be proved using other clauses. Execution is performed by an interpreter, which starts from the goal and Recursion, recursively scans the clauses trying to prove the goa ...
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Curry's Paradox
Curry's paradox is a paradox in which an arbitrary claim ''F'' is proved from the mere existence of a sentence ''C'' that says of itself "If ''C'', then ''F''". The paradox requires only a few apparently-innocuous logical deduction rules. Since ''F'' is arbitrary, any logic having these rules allows one to prove everything. The paradox may be expressed in natural language and in various logics, including certain forms of set theory, lambda calculus, and combinatory logic. The paradox is named after the logician Haskell Curry, who wrote about it in 1942. It has also been called Löb's paradox after Martin Hugo Löb, due to its relationship to Löb's theorem. In natural language Claims of the form "if ''A'', then ''B''" are called conditional claims. Curry's paradox uses a particular kind of self-referential conditional sentence, as demonstrated in this example: Even though Germany does not border China, the example sentence certainly is a natural-language sentence, and so ...
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Metaprogramming
Metaprogramming is a computer programming technique in which computer programs have the ability to treat other programs as their data. It means that a program can be designed to read, generate, analyse, or transform other programs, and even modify itself, while running. In some cases, this allows programmers to minimize the number of lines of code to express a solution, in turn reducing development time. It also allows programs more flexibility to efficiently handle new situations with no recompiling. Metaprogramming can be used to move computations from runtime to compile time, to generate code using compile time computations, and to enable self-modifying code. The ability of a programming language to be its own metalanguage allows reflective programming, and is termed ''reflection''. Reflection is a valuable language feature to facilitate metaprogramming. Metaprogramming was popular in the 1970s and 1980s using list processing languages such as Lisp. Lisp machine hardware ...
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Narrowing Of Algebraic Value Sets
Like logic programming, narrowing of algebraic value sets gives a method of reasoning about the values in unsolved or partially solved equations. Where logic programming relies on resolution, the algebra of value sets relies on narrowing rules. Narrowing rules allow the elimination of values from a solution set which are inconsistent with the equations being solved. Unlike logic programming, narrowing of algebraic value sets makes no use of backtracking. Instead all values are contained in value sets, and are considered in parallel. The approach is also similar to the use of constraints in constraint logic programming, but without the logic processing basis. Probabilistic value sets is a natural extension of value sets to deductive probability. The value set construct holds the information required to calculate probabilities of calculated values based on probabilities of initial values. History Early programming languages were imperative. These implement functionali ...
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Syntactic Sugar
In computer science, syntactic sugar is syntax within a programming language that is designed to make things easier to read or to express. It makes the language "sweeter" for human use: things can be expressed more clearly, more concisely, or in an alternative style that some may prefer. Syntactic sugar is usually a shorthand for a common operation that could also be expressed in an alternate, more verbose, form: The programmer has a choice of whether to use the shorter form or the longer form, but will usually use the shorter form since it is shorter and easier to type and read. For example, many programming languages provide special syntax for referencing and updating array elements. Abstractly, an array reference is a procedure of two arguments: an array and a subscript vector, which could be expressed as get_array(Array, vector(i,j)). Instead, many languages provide syntax such as Array ,j/code>. Similarly an array element update is a procedure consisting of three arguments, fo ...
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Let Definition In Mathematics
Let or LET may refer to: Sports * Let serve, when the served object in certain racket sports hits the net and lands in the correct service court, such as; ** Let (badminton) ** Let (pickleball) ** Let (tennis) * Ladies European Tour, the ladies professional golf tour of Europe Terminology * -let as an English diminutive suffix * Let expression, a name binding construct in computer programming languages * Let statement, a statement used in word problems requiring algebraic equations * Letting, a system of payment for the temporary use of something owned by someone else, also known as "rental" People, titles, characters * Licensed engineering technologist * Let, a fictional character from the anime series '' Rave Master'' Places, locations * County Leitrim, Ireland, Chapman code LET * Let, West Virginia * Leț, a village in Boroșneu Mare Commune, Covasna County, Romania * Alfredo Vásquez Cobo International Airport (IATA code LET), Leticia, Colombia * Lei Tung station (stat ...
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No Dropping To Boolean
No or NO may refer to: Linguistics and symbols * ''Yes'' and ''no'', responses * No, an English determiner in noun phrases * No (kana) (, ), a letter/syllable in Japanese script * No symbol (🚫), the general prohibition sign * Numero sign ( or No.), a typographic symbol for the word "number" * Norwegian language (ISO 639-1 code "no") Places * Niederösterreich (''NÖ''), Lower Austria * Norway (ISO 3166-1 country code NO, internet top level domain .no) * No, Denmark, a village in Denmark * Nō, Niigata, a former town in Japan * No Creek (other), several streams * Lake No, in South Sudan * New Orleans, Louisiana, US or its professional sports teams: ** New Orleans Saints of the National Football League ** New Orleans Pelicans of the National Basketball Association * Province of Novara (Piedmonte, Italy), province code NO Arts and entertainment Film and television * ''No'' (2012 film), a 2012 Chilean film * ''Nô'' (film), a 1998 Canadian film * Julius No, the ti ...
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Lambda Lifting
Lambda lifting is a meta-process that restructures a computer program so that functions are defined independently of each other in a global scope. An individual ''lift'' transforms a local function (subroutine) into a global function. It is a two step process, consisting of: * Eliminating free variables in the function by adding parameters. * Moving functions from a restricted scope to broader or global scope. The term "lambda lifting" was first introduced by Thomas Johnsson around 1982 and was historically considered as a mechanism for implementing programming languages based on functional programming. It is used in conjunction with other techniques in some modern compilers. Lambda lifting is not the same as closure conversion. It requires all call sites to be adjusted (adding extra arguments (parameters) to calls) and does not introduce a closure for the lifted lambda expression. In contrast, closure conversion does not require call sites to be adjusted but does introduce ...
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Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ...
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