Functional Design and Programming Lecture 3: List processing.

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Presentation transcript:

Functional Design and Programming Lecture 3: List processing

Literature (Pensum)  Paulson, chap. 3: Introduction to lists ( ) Derived list functions ( ) Application: Matrix transposition (3.9) Sets: list representation ( ) Maps: association list representation (3.16) (Graphs: Depth-first search (3.17))

Exercises  Paulson, chap. 3: , , , (obligatory: 3.8, , 3.33, 3.38, 3.41)

Introduction to lists  Basic list constructors  Basic list destructors (pattern matching)  Definition by pattern matching and recursion

Time complexity  Constant-time operations: definition  Constant-time operations: examples

Derived list functions  Derived constructors and destructors: hd, tl  Observer function: null  Derived complex list functions: append, reverse, drop, take

Application: Matrix transposition  Matrices: Definition  Transposition

Sets  Sets: intuition, notation  Basic set operations  Sets implemented as lists

Maps  Maps: finite functions  Maps implemented as association lists