Functional Programming
... of the variable x. The expression can be written (λx1.x2 x3), where the occurrences x1 and x2 of the variable x are bound, whereas the occurrence x3 is free in E. Definition 3. A variable is bound in a λ-expression E if all its occurrences in E are bound. If at least an occurrence of the variable is ...
... of the variable x. The expression can be written (λx1.x2 x3), where the occurrences x1 and x2 of the variable x are bound, whereas the occurrence x3 is free in E. Definition 3. A variable is bound in a λ-expression E if all its occurrences in E are bound. If at least an occurrence of the variable is ...
λ-definition of Function(al)s by Normal Forms
... Böhm [6] proved that FP was embeddable into combinatory logic and then our research group became interested to the embedding of algebraic data types and relative mappings of algebras (into another set) by λ-terms. A method to represent any type of term algebras and functions “iteratively” defined o ...
... Böhm [6] proved that FP was embeddable into combinatory logic and then our research group became interested to the embedding of algebraic data types and relative mappings of algebras (into another set) by λ-terms. A method to represent any type of term algebras and functions “iteratively” defined o ...
Introduction to Emacs and Emacs lisp
... of one set to another set Described by an expression or a table The evaluation order is controlled by recursion and conditional expressions ...
... of one set to another set Described by an expression or a table The evaluation order is controlled by recursion and conditional expressions ...
Haskell - CIS @ UPenn
... Add, subtract, and multiply are type (Num a) => a -> a -> a Divide is type (Fractional a) => a -> a -> a Exponentiation is type (Num a, Integral b) => a -> b -> a They have type (Integral a) => a -> Bool ...
... Add, subtract, and multiply are type (Num a) => a -> a -> a Divide is type (Fractional a) => a -> a -> a Exponentiation is type (Num a, Integral b) => a -> b -> a They have type (Integral a) => a -> Bool ...
Calculus Notes for 1.4 ***Memorize***Definition of Continuity at a
... Intermediate Value Theorem: If f is continuous on the closed interval [a,b], f(a) ≠ f(b), and k is any number between f(a) and f(b), then there is at least one number c in [a,b] such that f(c) = k. Properties of Continuity: If b is a real number and f and g are continuous at x = c, then the followin ...
... Intermediate Value Theorem: If f is continuous on the closed interval [a,b], f(a) ≠ f(b), and k is any number between f(a) and f(b), then there is at least one number c in [a,b] such that f(c) = k. Properties of Continuity: If b is a real number and f and g are continuous at x = c, then the followin ...
Computational lambda calculus: A combination of functional and
... Functional programming languages, cf Lisp, have their roots in the lambda calculus and are widely known for their expressive power and simple semantics. Because of their mathematical simplicity are considered to be a great tool for formal analysis and program verification. Functional programs do not ...
... Functional programming languages, cf Lisp, have their roots in the lambda calculus and are widely known for their expressive power and simple semantics. Because of their mathematical simplicity are considered to be a great tool for formal analysis and program verification. Functional programs do not ...
Example
... • 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 programming ...
... • 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 programming ...
CSC 533: Programming Languages Spring 2015
... LISP is very simple and orthogonal § only 2 kinds of data objects 1. atoms (identifiers, strings, numbers, …) 2. lists (of atoms and sublists) unlike arrays, lists do not have to store items of same type/size do not have to be stored contiguously do not have to provide random access § all comp ...
... LISP is very simple and orthogonal § only 2 kinds of data objects 1. atoms (identifiers, strings, numbers, …) 2. lists (of atoms and sublists) unlike arrays, lists do not have to store items of same type/size do not have to be stored contiguously do not have to provide random access § all comp ...
LISP
... The execution of a function always produces the same result when given the same parameters. This is called referential transparency. ...
... The execution of a function always produces the same result when given the same parameters. This is called referential transparency. ...
ppt - Dave Reed
... each full-recursive call requires a new activation record on the run-time stack with tail-recursion, don't need to retain current activation record when make call can discard the current activation record, push record for new recursive call thus, no limit on recursion depth (each recursive call ...
... each full-recursive call requires a new activation record on the run-time stack with tail-recursion, don't need to retain current activation record when make call can discard the current activation record, push record for new recursive call thus, no limit on recursion depth (each recursive call ...
Chapter 11 - Functional Programming, Part I: Concepts and Scheme
... 1. Constant atoms, such as numbers and strings, evaluate to themselves. 2. Identifiers are looked up in the current environment and replaced by the value found there. (The environment in Scheme is essentially a dynamically maintained symbol table that associates identifiers to values.) 3. A list ...
... 1. Constant atoms, such as numbers and strings, evaluate to themselves. 2. Identifiers are looked up in the current environment and replaced by the value found there. (The environment in Scheme is essentially a dynamically maintained symbol table that associates identifiers to values.) 3. A list ...
Comp 411 Principles of Programming Languages Lecture 7 Meta-interpreters
... – The defect is that the output of an actual interpreter is restricted to values that can be characterized syntactically. (How do you output a function?) – On the other hand, interpreters naturally introduce a simple form of functional abstraction. A recursive interpreter accepts an extra input, an ...
... – The defect is that the output of an actual interpreter is restricted to values that can be characterized syntactically. (How do you output a function?) – On the other hand, interpreters naturally introduce a simple form of functional abstraction. A recursive interpreter accepts an extra input, an ...
4.1 Characteristics of Functional Programming Languages Chapter
... language is thread safe; it always produces the correct result even when executed as part of multiple concurrent threads. Functional programming languages, also known as applicative programming languages, have a mathematically based design. specifically, lambda calculus. A mathematical function maps ...
... language is thread safe; it always produces the correct result even when executed as part of multiple concurrent threads. Functional programming languages, also known as applicative programming languages, have a mathematically based design. specifically, lambda calculus. A mathematical function maps ...
