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