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A Typed Lambda Calculus with Categorical Type Constructors 1
A Typed Lambda Calculus with Categorical Type Constructors 1

On Feature Orientation and Functional Programming
On Feature Orientation and Functional Programming

... Beans in an IBM application server cuts across 35 top-level components [13]. In our case studies, we observed that this phenomenon occurs in functional programs as well. Specifically, we found module-level crosscutting to be the most frequent form of crosscutting. The reason is that modules are coa ...
Computing Science - Thompson Rivers University
Computing Science - Thompson Rivers University

... Is there any problem in the above output? The Celsius temperatures in the previous out are not accurate. For example 0o F is -17.8o C. ...
Programming with Miranda
Programming with Miranda

... In Miranda the function filter is built into the system, but could actually be written by the programmer with just three short statements. The reason why the code is so flexible derives directly from the ability to treat functions as parameters to other functions; filter takes any function which ret ...
C# is a functional programming language
C# is a functional programming language

... ◦ Parameterized types and polymorphic functions (generics) ◦ First-class functions (delegates) ◦ Lightweight lambda expressions & closure conversion ◦ Type inference (for locals and lambdas) ◦ Streams (iterators) ◦ A library of higher-order functions for collections & iterators ◦ And even: GADTs (po ...
Functional Programming with Relations 1
Functional Programming with Relations 1

Logic Programming
Logic Programming

... typeless) and has no type coercions • Includes exception handling and a module facility for implementing abstract data types • Includes lists and list operations ...
scons
scons

A/x - LAMP | EPFL
A/x - LAMP | EPFL

...  Implementation note: If a function calls itself as its last action, the function’s stack frame can be re-used. This is called “tail recursion”.  ⇒ Tail-recursive functions are iterative processes.  More generally, if the last action of a function is a call to another (possible the same) function ...
04a_Functional
04a_Functional

Principle of structural induction for fp
Principle of structural induction for fp

Document
Document

... It can be shown that all the combinators can be expressed in terms of S and K. (We have already seen that I = SKK). S and K can those be seen as “primitive” combinators. If everything can be expressed in terms of S and K then we can define an SK-reduction machine which works by only evaluating S’s a ...
Composite Datatypes --- Lists and Tuples
Composite Datatypes --- Lists and Tuples

... synonyms makes code more intuitive and readable can be used interchangably (when readability is not an issue) ...
Links> Web programming without tiers
Links> Web programming without tiers

... Semantics should determine types, not types determine semantics • Lists and dictionaries as data structures Regular expression matching for lists — down with cons! • Testing and validity Contracts, Quickcheck ...
Tools for Refactoring Functional Programs
Tools for Refactoring Functional Programs

... Why refactor Haskell? The only design artefact is (in) the code. Semantics of functional languages support largescale transformations (?) Building real tools to support functional programming … heavy lifting. Platform for research and experimentation. ...
Lisp a functional programming language
Lisp a functional programming language

Design and Evaluation of Gradual Typing for Python
Design and Evaluation of Gradual Typing for Python

Document
Document

- Starter tutorials
- Starter tutorials

... which has two functional parameters and yields a function whose value is the first function applied to the result of the second. Notation: ...
Introducing Haskell COS 441 Slides 3  Slide content credits:
Introducing Haskell COS 441 Slides 3 Slide content credits:

cs.boisestate.edu
cs.boisestate.edu

... • eq? takes two symbolic parameters; it returns #T if both parameters are atoms and the two are the same e.g., (eq? 'A 'A) yields #T (eq? 'A 'B) yields () – Note that if eq? is called with list parameters, the result is not reliable – Also eq? does not work for numeric ...
Foundations of Functional Programming
Foundations of Functional Programming

... arguments is expressed using a function whose result is another function. For example, suppose that L is a term containing only x and y as free variables, and we wish to formalize the function f (x, y) = L. The abstraction (λy.L) contains x free; for each x, it stands for a function over y. The abst ...
Towards CNC Programming Using Haskell
Towards CNC Programming Using Haskell

... to design CNC programs. Our choice relies on the fact that Haskell is a modern high-level language which provides a very convenient framework to produce and—formally—analyze and verify programs. Furthermore, it has many useful features such as, e.g., lazy evaluation (which allows us to cope with inf ...
CS120_FALL_2009_LECTURE_08
CS120_FALL_2009_LECTURE_08

Untyped Lambda Calculus - Programming Systems Lab
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 ...
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Standard ML

Standard ML (SML) is a general-purpose, modular, functional programming language with compile-time type checking and type inference. It is popular among compiler writers and programming language researchers, as well as in the development of theorem provers.SML is a modern descendant of the ML programming language used in the Logic for Computable Functions (LCF) theorem-proving project. It is distinctive among widely used languages in that it has a formal specification, given as typing rules and operational semantics in The Definition of Standard ML (1990, revised and simplified as The Definition of Standard ML (Revised) in 1997).
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