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  2. Lambda expression - Wikipedia

    en.wikipedia.org/wiki/Lambda_expression

    Lambda expression may refer to: Lambda expression in computer programming, also called an anonymous function , is a defined function not bound to an identifier. Lambda expression in lambda calculus , a formal system in mathematical logic and computer science for expressing computation by way of variable binding and substitution.

  3. Lambda lifting - Wikipedia

    en.wikipedia.org/wiki/Lambda_lifting

    However it does not demonstrate the soundness of lambda calculus for deduction, as the eta reduction used in lambda lifting is the step that introduces cardinality problems into the lambda calculus, because it removes the value from the variable, without first checking that there is only one value that satisfies the conditions on the variable ...

  4. Anonymous function - Wikipedia

    en.wikipedia.org/wiki/Anonymous_function

    In computer programming, an anonymous function (function literal, expression or block) is a function definition that is not bound to an identifier. Anonymous functions are often arguments being passed to higher-order functions or used for constructing the result of a higher-order function that needs to return a function. [ 1 ]

  5. Lazy evaluation - Wikipedia

    en.wikipedia.org/wiki/Lazy_evaluation

    Java's lambda expressions are just syntactic sugar. Anything that can be written with a lambda expression can be rewritten as a call to construct an instance of an anonymous inner class implementing the interface, [ a ] and any use of an anonymous inner class can be rewritten using a named inner class, and any named inner class can be moved to ...

  6. Functional programming - Wikipedia

    en.wikipedia.org/wiki/Functional_programming

    Java 8 supports lambda expressions as a replacement for some anonymous classes. [107] In C#, anonymous classes are not necessary, because closures and lambdas are fully supported. Libraries and language extensions for immutable data structures are being developed to aid programming in the functional style in C#.

  7. Fixed-point combinator - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_combinator

    (Here we use the standard notations and conventions of lambda calculus: Y is a function that takes one argument f and returns the entire expression following the first period; the expression . ( ) denotes a function that takes one argument x, thought of as a function, and returns the expression ( ), where ( ) denotes x applied to itself ...

  8. Director string - Wikipedia

    en.wikipedia.org/wiki/Director_string

    In mathematics, in the area of lambda calculus and computation, directors or director strings are a mechanism for keeping track of the free variables in a term.Loosely speaking, they can be understood as a kind of memoization for free variables; that is, as an optimization technique for rapidly locating the free variables in a term algebra or in a lambda expression.

  9. Let expression - Wikipedia

    en.wikipedia.org/wiki/Let_expression

    The rules also assume that the lambda expressions have been pre-processed so that each lambda abstraction has a unique name. The substitution operator is also used. The expression L [ G := S ] {\displaystyle L[G:=S]} means substitute every occurrence of G in L by S and return the expression.

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