Lambda-Lifting in Quadratic Time
... partial evaluators and that operates in cubic time. In this article, we show how to reduce this complexity to quadratic time, and we present a flow-sensitive lambda-lifter that also works in quadratic time. Lambda-lifting transforms a block-structured program into a set of recursive equations, one f ...
... partial evaluators and that operates in cubic time. In this article, we show how to reduce this complexity to quadratic time, and we present a flow-sensitive lambda-lifter that also works in quadratic time. Lambda-lifting transforms a block-structured program into a set of recursive equations, one f ...
ppt - Rensselaer Polytechnic Institute: Computer Science
... represents the same f function, except it is anonymous. To represent the function evaluation f(2) = 4, we use the following -calculus syntax: ...
... represents the same f function, except it is anonymous. To represent the function evaluation f(2) = 4, we use the following -calculus syntax: ...
Haskell Summary Functions • A function takes 1 or more parameter
... A binary operator can be converted into a curried function by enclosing the name of the operator in Useful functions can sometimes be constructed in a simple way using parentheses. For example: sections. Examples: 1+2 can be written as (+) 1 2 (1+) - successor function This convention also allows on ...
... A binary operator can be converted into a curried function by enclosing the name of the operator in Useful functions can sometimes be constructed in a simple way using parentheses. For example: sections. Examples: 1+2 can be written as (+) 1 2 (1+) - successor function This convention also allows on ...
ppt - Computer Science at RPI
... represents the same f function, except it is anonymous. To represent the function evaluation f(2) = 4, we use the following -calculus syntax: ...
... represents the same f function, except it is anonymous. To represent the function evaluation f(2) = 4, we use the following -calculus syntax: ...
Y in Practical Programs Extended Abstract
... executed. The examples we will investigate include creating memo functions (in languages with mutable data), providing dummy or default results for failed function calls and building call trees annotated with arguments and results. As well as demonstrating the practical properties of this programmin ...
... executed. The examples we will investigate include creating memo functions (in languages with mutable data), providing dummy or default results for failed function calls and building call trees annotated with arguments and results. As well as demonstrating the practical properties of this programmin ...
Programming Languages and Compilers (CS 421)
... members of one set, called the domain set, to another set, called the range set A lambda expression specifies the parameter(s) and the mapping of a function in the following form (x) x * x * x for the function cube (x) = x * x * x ...
... members of one set, called the domain set, to another set, called the range set A lambda expression specifies the parameter(s) and the mapping of a function in the following form (x) x * x * x for the function cube (x) = x * x * x ...
Lecture 3
... • For both calling and definitional code: • All positional arguments must appear first – Followed by all keyword arguments • Followed by the * form – And finally ** ...
... • For both calling and definitional code: • All positional arguments must appear first – Followed by all keyword arguments • Followed by the * form – And finally ** ...
Functional Programming
... – zero-order functions: data in the traditional sense. – first-order functions: functions that operate on zero-order functions. – second-order functions: operate on first order • In general, higher-order functions (HOFs) are those that can operate on functions of any order as long as types match. – ...
... – zero-order functions: data in the traditional sense. – first-order functions: functions that operate on zero-order functions. – second-order functions: operate on first order • In general, higher-order functions (HOFs) are those that can operate on functions of any order as long as types match. – ...
Expressing C++ Template Metaprograms as Lambda expressions
... Our compiler compiles them into C++ classes (metafunction classes [1]) implementing the lambda expression. The names of the classes are the names of the lambda expressions indicating that names have to be valid C++ names. Since these expressions are translated into C++ classes they can be at any par ...
... Our compiler compiles them into C++ classes (metafunction classes [1]) implementing the lambda expression. The names of the classes are the names of the lambda expressions indicating that names have to be valid C++ names. Since these expressions are translated into C++ classes they can be at any par ...
Annotated_Chapter_4_slides
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
Chapter 15 slides - University of Hawaii
... • Lambda notation is used to specify functions and function definitions. Function applications and data have the same form. e.g., If the list (A B C) is interpreted as data it is a simple list of three atoms, A, B, and C If it is interpreted as a function application, it means that the function name ...
... • Lambda notation is used to specify functions and function definitions. Function applications and data have the same form. e.g., If the list (A B C) is interpreted as data it is a simple list of three atoms, A, B, and C If it is interpreted as a function application, it means that the function name ...
conditional expressions
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
... The symbol is the Greek letter lambda, and is typed at the keyboard as a backslash \. In mathematics, nameless functions are usually denoted using the symbol, as in x x+x. In Haskell, the use of the symbol for nameless functions comes from the lambda calculus, the theory of functions o ...
conditional expressions
... Hugs> prd 0 where prd (n+1) = n Program error: pattern match failure: v1618 0 Hugs> prd’ 5 where prd’ (n+2) = n ...
... Hugs> prd 0 where prd (n+1) = n Program error: pattern match failure: v1618 0 Hugs> prd’ 5 where prd’ (n+2) = n ...
Chapter 5 THE LAMBDA CALCULUS
... Lambda calculus as described above seems to permit functions of a single variable only. The abstraction mechanism allows for only one parameter at a time. However, many useful functions, such as binary arithmetic operations, require more than one parameter; for example, sum(a,b) = a+b matches the sy ...
... Lambda calculus as described above seems to permit functions of a single variable only. The abstraction mechanism allows for only one parameter at a time. However, many useful functions, such as binary arithmetic operations, require more than one parameter; for example, sum(a,b) = a+b matches the sy ...
A short introduction to the Lambda Calculus
... We see that reduction is nothing other than the textual replacement of a formal parameter in the body of a function by the actual parameter supplied. One would expect a term after a number of reductions to reach a form where no further reductions are possible. Surprisingly, this is not always the ca ...
... We see that reduction is nothing other than the textual replacement of a formal parameter in the body of a function by the actual parameter supplied. One would expect a term after a number of reductions to reach a form where no further reductions are possible. Surprisingly, this is not always the ca ...
Joy: Forth`s Functional Cousin
... Concatenation is a binary constructor, and since it is associative it is best written in infix notation and hence no parentheses are required. Since concatenation is the only binary constructor of its kind, in Joy it is best written without an explicit symbol. Quotation is a unary constructor which ...
... Concatenation is a binary constructor, and since it is associative it is best written in infix notation and hence no parentheses are required. Since concatenation is the only binary constructor of its kind, in Joy it is best written without an explicit symbol. Quotation is a unary constructor which ...
λ Calculus - Computer Science at RPI
... time is critical. Some functional programming languages, such as Haskell, use call-by-need evaluation, which will avoid performing unneeded computations (such as loop() above) yet will memoize the values of needed arguments (such as 4/2 above) so that repetitive computations are avoided. This lazy e ...
... time is critical. Some functional programming languages, such as Haskell, use call-by-need evaluation, which will avoid performing unneeded computations (such as loop() above) yet will memoize the values of needed arguments (such as 4/2 above) so that repetitive computations are avoided. This lazy e ...
PowerPoint
... • The basic process of computation is fundamentally different in a FPL than in an imperative language – In an imperative language, operations are done and the results are stored in variables for later use – Management of variables is a constant concern and source of complexity for imperative program ...
... • The basic process of computation is fundamentally different in a FPL than in an imperative language – In an imperative language, operations are done and the results are stored in variables for later use – Management of variables is a constant concern and source of complexity for imperative program ...
Display version
... changes the value of x to be val. Say we want a function that will print out how many times it’s been called. The following factory produces one of those: (define (make-counter) (let ((count 0)) (lambda () (set! count (+ 1 count)) (display count) (newline)))) ...
... changes the value of x to be val. Say we want a function that will print out how many times it’s been called. The following factory produces one of those: (define (make-counter) (let ((count 0)) (lambda () (set! count (+ 1 count)) (display count) (newline)))) ...
Functional Programming Big Picture
... ? a function application operation, ? some structure to represent data In functional programming, functions are viewed as values themselves, which can be computed by other functions and can be parameters to other functions ? Functions are first-class values ...
... ? a function application operation, ? some structure to represent data In functional programming, functions are viewed as values themselves, which can be computed by other functions and can be parameters to other functions ? Functions are first-class values ...
Functional Programming in Scheme
... The value assigned to X depends on the evaluation order of the expression F(&X)+ ++X for any initial value a of X different than 0. The result of the expression F(&X) + ++X is 1, for the left-to-right evaluation, and a+1 if the evaluation is right-to-left. Banning side effects have important consequ ...
... The value assigned to X depends on the evaluation order of the expression F(&X)+ ++X for any initial value a of X different than 0. The result of the expression F(&X) + ++X is 1, for the left-to-right evaluation, and a+1 if the evaluation is right-to-left. Banning side effects have important consequ ...
Functional_Programming
... Natural language processing Artificial intelligence Automatic theorem proving and computer algebra Algorithmic optimization of programs written in pure functional languages ...
... Natural language processing Artificial intelligence Automatic theorem proving and computer algebra Algorithmic optimization of programs written in pure functional languages ...
Functional Programming Languages
... called non-strict functional languages, of which Haskell is the most popular, no function evaluates its arguments unless they are needed. For example, the function f defined by ...
... called non-strict functional languages, of which Haskell is the most popular, no function evaluates its arguments unless they are needed. For example, the function f defined by ...
