Programming Language Theory: Difference between revisions

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* Applicative state transition system (<tt>ast</tt>): <tt>ffp</tt> plus mutable state and coarse-grained operations thereupon
* Applicative state transition system (<tt>ast</tt>): <tt>ffp</tt> plus mutable state and coarse-grained operations thereupon
===Untyped λ-calculus===
===Untyped λ-calculus===
* Only one type: the function.
Two operators (function ''definition'' and ''application'') upon one operand type (λ-expression).
* Function definition: <tt>(λ''formalparam'' . body)</tt>
* Function application: <tt>function(''actualparam'')</tt>
Common syntactic sugar:
* Left-associative application as implicit parentheses
* Use of definitions (allowing identifiers to stand in as λ-expressions)
* Currying: <tt>(λx, y . x + y)</tt> rather than <tt>(λx . (λy . x + y))</tt>