Slides
... Implementing Lazy Evaluation How do we implement lazy evaluation? Consider this: datatype 'a stream = ...
... Implementing Lazy Evaluation How do we implement lazy evaluation? Consider this: datatype 'a stream = ...
Functional Programming
... Let Expressions • Allows simplification of function definitions by defining intermediate expressions. e.g., (define (subst y x alist) ...
... Let Expressions • Allows simplification of function definitions by defining intermediate expressions. e.g., (define (subst y x alist) ...
Functional Programming in Scheme
... almost as in the Lambda calculus, where we are writing sum ≡def λx. λy.((+ λ (define sum ...
... almost as in the Lambda calculus, where we are writing sum ≡def λx. λy.((+ λ (define sum ...
Chapter 15 - Department of Computer Science University of Miami
... • Apply to All - one form in Scheme is mapcar – Applies the given function to all elements of the given list; ...
... • Apply to All - one form in Scheme is mapcar – Applies the given function to all elements of the given list; ...
Lecture 2 - cs.Virginia - University of Virginia
... Can class go over time? No problem 10 Problem ...
... Can class go over time? No problem 10 Problem ...
PDF
... State refers to the ability to have mutation: a change in value over time. The functional languages we have studied so far, such as the λ-calculus and uML, have not had state, in the sense that once a value is created, it is impossible to change that value, and once a variable is bound it cannot be ...
... State refers to the ability to have mutation: a change in value over time. The functional languages we have studied so far, such as the λ-calculus and uML, have not had state, in the sense that once a value is created, it is impossible to change that value, and once a variable is bound it cannot be ...
Concepts of Programming Languages A Brief Intro to Programming
... • All of these features initially invented and developed in the context of functional programming ...
... • All of these features initially invented and developed in the context of functional programming ...
Annotated_Chapter_4_slides
... 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 on which Haskell is based. ...
... 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 on which Haskell is based. ...
λ Calculus - Computer Science at RPI
... a functional abstraction. The functional abstraction syntax, λv.e, defines the scope of the variable v to be e, and effectively binds occurrences of v in e. For example, in the expression (λx.x2 x + 1) the second x is bound by the λx, because it is part of the expression defining that function, i.e. ...
... a functional abstraction. The functional abstraction syntax, λv.e, defines the scope of the variable v to be e, and effectively binds occurrences of v in e. For example, in the expression (λx.x2 x + 1) the second x is bound by the λx, because it is part of the expression defining that function, i.e. ...
conditional expressions
... 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 on which Haskell is based. ...
... 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 on which Haskell is based. ...
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 ...
Lect 1
... A predicate is a procedure that always returns a boolean value (#t or #f). By convention, predicates usually have names that end in `?'. A mutation procedure is a procedure that alters a data structure. By convention, mutation procedures usually have names that end in `!'. ...
... A predicate is a procedure that always returns a boolean value (#t or #f). By convention, predicates usually have names that end in `?'. A mutation procedure is a procedure that alters a data structure. By convention, mutation procedures usually have names that end in `!'. ...
CSP 506 Comparative Programming Languages
... Fundamentals of Functional Programming Languages • The objective of the design of a FPL is to mimic mathematical functions to the greatest extent possible • The basic process of computation is fundamentally different in a FPL than in an imperative language – In an imperative language, operations ar ...
... Fundamentals of Functional Programming Languages • The objective of the design of a FPL is to mimic mathematical functions to the greatest extent possible • The basic process of computation is fundamentally different in a FPL than in an imperative language – In an imperative language, operations ar ...
Document
... A predicate is a procedure that always returns a boolean value (#t or #f). By convention, predicates usually have names that end in `?'. A mutation procedure is a procedure that alters a data structure. By convention, mutation procedures usually have names that end in `!'. ...
... A predicate is a procedure that always returns a boolean value (#t or #f). By convention, predicates usually have names that end in `?'. A mutation procedure is a procedure that alters a data structure. By convention, mutation procedures usually have names that end in `!'. ...
Chapter 7: Functional Programming Languages
... doub x = x + x which means the same as doub = \x -> x + x Compute doub 4 as follows: ` doub ⇓ (λx.x + x){} ` 4 ⇓ 4 x := 4 ` x + x ⇓ 8 ` (doub 4) ⇓ 8 The applied function has no free variables. But this is just a limiting ...
... doub x = x + x which means the same as doub = \x -> x + x Compute doub 4 as follows: ` doub ⇓ (λx.x + x){} ` 4 ⇓ 4 x := 4 ` x + x ⇓ 8 ` (doub 4) ⇓ 8 The applied function has no free variables. But this is just a limiting ...
First-Class Functions What is functional programming? First
... 1. Avoiding mutation in most/all cases (done and ongoing) 2. Using functions as values (this unit) ...
... 1. Avoiding mutation in most/all cases (done and ongoing) 2. Using functions as values (this unit) ...
Haskell: Lambda Expressions
... Currying has been briefly discussed in the context of the Haskell functions curry and uncurry. The basic idea is that function application is only expressed in terms of applying a single function to a single argument. For example, the expression f x y is a function application of f to two arguments ...
... Currying has been briefly discussed in the context of the Haskell functions curry and uncurry. The basic idea is that function application is only expressed in terms of applying a single function to a single argument. For example, the expression f x y is a function application of f to two arguments ...
Untyped Lambda Calculus - Programming Systems Lab
... s n t for some n ≥ 0. Formally, s ∗ t is the reflexive and transitive closure of s t. We have SKK 2 λx.Kx(Kx) 2 I. Fact 9 If s t, then s ∗ t and s ≡ t. Moreover, if s ∗ t, then s ≡ t. Fact 10 s ≡ t is the least equivalence relation containing s t. A rigorous proof of Fact 10 requires wor ...
... s n t for some n ≥ 0. Formally, s ∗ t is the reflexive and transitive closure of s t. We have SKK 2 λx.Kx(Kx) 2 I. Fact 9 If s t, then s ∗ t and s ≡ t. Moreover, if s ∗ t, then s ≡ t. Fact 10 s ≡ t is the least equivalence relation containing s t. A rigorous proof of Fact 10 requires wor ...