eBook - ePub

Functional Data Structures and Algorithms

Name: Functional Data Structures and Algorithms
Author: Tobias Nipkow

A Proof Assistant Approach

Tobias Nipkow,

English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Functional Data Structures and Algorithms

A Proof Assistant Approach

Tobias Nipkow,

About this book

This book is an introduction to data structures and algorithms for functional programming languages, with a focus on proofs. Starting with sorting and searching, it moves on to priority queues and advanced design and analysis techniques: dynamic programming, amortized analysis, splay trees, skew heaps and pairing heaps. The final part of the book covers a number of selected fun topics: graph algorithms, string search, Huffman's algorithm for generating optimal codes and alpha-beta pruning of game trees.

The book covers both correctness (does the algorithm do what it is supposed to do?) and running time analysis (does the algorithm terminate within a specified number of steps?). It does so in a unified manner with inductive proofs about functional programs and their running time functions.

What sets this book apart from existing books on algorithms is that all proofs have been machine-checked, by the proof assistant Isabelle. That is, in addition to the text in the book, which requires no knowledge of proof assistants!, the Isabelle definitions and proofs are available online. The structured nature of Isabelle proofs permits even novices to follow the high-level arguments.

This book is aimed at teachers and students (it has been classroom-tested for a number of years) but is also a reference work for programmers and researchers who are interested in the (verified!) details of some algorithm or proof.

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Yes, you can access Functional Data Structures and Algorithms by Tobias Nipkow in PDF and/or ePUB format, as well as other popular books in Computer Science & Compilers. We have over one million books available in our catalogue for you to explore.