A general introduction to Functional Programming using Haskell
... In FPLs a function can also take another function as argument: twice :: (a > a) > a > a twice f x = f (f x) – function twice takes a function f and a value x as arguments, and applies f twice (first to x, then to the result of f x) – for example, the result of twice (2*) 4 is 16, while the result ...
... In FPLs a function can also take another function as argument: twice :: (a > a) > a > a twice f x = f (f x) – function twice takes a function f and a value x as arguments, and applies f twice (first to x, then to the result of f x) – for example, the result of twice (2*) 4 is 16, while the result ...
PowerPoint - School of Computing Science
... Do we have a Better Functional Language? We have functions, e.g. x.x+2 is a function, but can we really do functional programming? It’s essential to be able to define recursive functions, but our language has no direct support for recursive definitions. We have no way of associating a name with a ...
... Do we have a Better Functional Language? We have functions, e.g. x.x+2 is a function, but can we really do functional programming? It’s essential to be able to define recursive functions, but our language has no direct support for recursive definitions. We have no way of associating a name with a ...
Working with floating point expressions
... and brackets ( ... ), we can construct arithmetic expression ...
... and brackets ( ... ), we can construct arithmetic expression ...
Comp 411 Principles of Programming Languages Lecture 7 Meta-interpreters
... • Denotational semantics is rooted in mathematical logic: the semantics of terms (expressions) in the predicate calculus is defined denotationally by recursion on the syntactic structure of terms. The meaning of each term is a value in an mathematical structure (as used in first-order logic). • In t ...
... • Denotational semantics is rooted in mathematical logic: the semantics of terms (expressions) in the predicate calculus is defined denotationally by recursion on the syntactic structure of terms. The meaning of each term is a value in an mathematical structure (as used in first-order logic). • In t ...
Chapter 11 - Functional Programming, Part II: ML, Delayed
... So many data types need to be made instances of Show and Eq that Haskell can do it automatically: data BST a = Nil | Node a (BST a) (BST a) ...
... So many data types need to be made instances of Show and Eq that Haskell can do it automatically: data BST a = Nil | Node a (BST a) (BST a) ...
Chapter 11 - Functional Programming, Part II: ML, Delayed
... So many data types need to be made instances of Show and Eq that Haskell can do it automatically: data BST a = Nil | Node a (BST a) (BST a) ...
... So many data types need to be made instances of Show and Eq that Haskell can do it automatically: data BST a = Nil | Node a (BST a) (BST a) ...
08 – Functional Paradigm and Scheme
... Which still produces the same answer (8 125 27), but without having to assign an identifier to the cube function. Lambda also gives us another mechanism for writing functions that output functions. The “compose” function could have been written thusly: (define (compose f g) (lambda (x) (f (g x)))) 8 ...
... Which still produces the same answer (8 125 27), but without having to assign an identifier to the cube function. Lambda also gives us another mechanism for writing functions that output functions. The “compose” function could have been written thusly: (define (compose f g) (lambda (x) (f (g x)))) 8 ...
Beginning with the Haskell Programming Language About the Tutorial
... The trick to recursion is that we would like it to terminate eventually (at least we usually do). One way to guarantee termination of recursion is to use primitive recursion. This amounts to taking a "thing" to recurse on, and making sure that the next call is closer to a terminal condition than the ...
... The trick to recursion is that we would like it to terminate eventually (at least we usually do). One way to guarantee termination of recursion is to use primitive recursion. This amounts to taking a "thing" to recurse on, and making sure that the next call is closer to a terminal condition than the ...
Introduction to Racket
... The syntax is uniform and made of s-expressions. An s-expression is an atom or a sequence of atoms separated by spaces and enclosed in parenthesis. Square brackets [] and braces {} can be used instead of parenthesis (as long as they match per type). There are a few syntactic shortcuts such as e.g. ' ...
... The syntax is uniform and made of s-expressions. An s-expression is an atom or a sequence of atoms separated by spaces and enclosed in parenthesis. Square brackets [] and braces {} can be used instead of parenthesis (as long as they match per type). There are a few syntactic shortcuts such as e.g. ' ...
Functional Programming
... 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 ...
... 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 ...
CSC 533: Programming Languages Spring 2017
... 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 computation is performed by applying functions to arguments in pure LISP: ...
... 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 computation is performed by applying functions to arguments in pure LISP: ...
The Clean programming language
... This implies that >= is defined for a class as soon as the operator < is defined. This function qsort is able to sort lists of integers as well as list of products, and any other member of the class <. To be member of the same class, data types need not have any relation. It is sufficient that th ...
... This implies that >= is defined for a class as soon as the operator < is defined. This function qsort is able to sort lists of integers as well as list of products, and any other member of the class <. To be member of the same class, data types need not have any relation. It is sufficient that th ...
Programming in the pure lambda
... calculus by showing that there are λexpressions that can be used to emulate some basic features of Haskell, namely definitions, booleans, pairs, lists, numbers and recursion. ...
... calculus by showing that there are λexpressions that can be used to emulate some basic features of Haskell, namely definitions, booleans, pairs, lists, numbers and recursion. ...
Type Systems
... Booleans (strict evaluation) note that the condition is evaluated before the expressions themselves are ...
... Booleans (strict evaluation) note that the condition is evaluated before the expressions themselves are ...
Introduction to Functional Programming Using Haskell
... changes in the environment will not invalidate your “proof” • Functions can be passed as arguments and are “first class” • Functions do not change the global “state” • Single assignment. Once a “variable” gets a value, it never changes. ...
... changes in the environment will not invalidate your “proof” • Functions can be passed as arguments and are “first class” • Functions do not change the global “state” • Single assignment. Once a “variable” gets a value, it never changes. ...