List Of Functional Programming Topics

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Short description: Wikipedia list article

This is a list of functional programming topics.

Foundational concepts

  • Programming paradigm
  • Declarative programming
  • Programs as mathematical objects
  • Function-level programming
  • Purely functional programming
  • Total functional programming
  • Lambda programming
  • Static scoping
  • Higher-order function
  • Referential transparency

Lambda calculus

  • Currying
  • Lambda abstraction
  • Church–Rosser theorem
  • Extensionality
  • Church numeral

Combinatory logic

  • Fixed point combinator
  • SKI combinator calculus
  • B, C, K, W system
  • SECD machine
  • Graph reduction machine

Intuitionistic logic

  • Sequent, sequent calculus
  • Natural deduction
  • Intuitionistic type theory
  • BHK interpretation
  • Curry–Howard correspondence
  • Linear logic
  • Game semantics

Type theory

  • Typed lambda calculus
  • Typed and untyped languages
  • Type signature
  • Type inference
  • Datatype
  • Algebraic data type (generalized)
  • Type variable
  • First-class value
  • Polymorphism
  • Calculus of constructions

Denotational semantics

  • Domain theory
    • Directed complete partial order
    • Knaster–Tarski theorem

Category theory

  • Cartesian closed category
  • Yoneda lemma

Operational issues

  • Graph reduction
    • Combinator graph reduction
  • Strict programming language
  • Lazy evaluation, eager evaluation
  • Speculative evaluation
  • Side effect
  • Assignment
    • Setq
  • Closure
  • Continuation
  • Continuation passing style
  • Operational semantics
  • State transition system
  • Simulation preorder
  • Bisimulation
  • Monads in functional programming
  • Exception handling
  • Garbage collection

Programming languages

  • Clean
  • Clojure
  • Elixir
  • Erlang
  • FP
  • F#
  • Haskell
    • Glasgow Haskell Compiler
    • Gofer
    • Hugs
    • Template Haskell
  • ISWIM
  • JavaScript
  • Kent Recursive Calculator
  • Lisp
    • AutoLISP
    • Common Lisp
    • Emacs Lisp
    • Scheme
  • Mercury
  • Miranda
    • OCaml
    • Standard ML
  • Pure, predecessor Q
  • Q (programming language from Kx Systems)
  • Quantum programming
  • Scala
  • SISAL
  • Ωmega


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