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Verified Functional Programming in Agda (Hardcover)
Loot Price: R2,895
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Verified Functional Programming in Agda (Hardcover)
Series: ACM Books
Expected to ship within 10 - 15 working days
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Agda is an advanced programming language based on Type Theory.
Agda's type system is expressive enough to support full functional
verification of programs, in two styles. In external verification,
we write pure functional programs and then write proofs of
properties about them. The proofs are separate external artifacts,
typically using structural induction. In internal verification, we
specify properties of programs through rich types for the programs
themselves. This often necessitates including proofs inside code,
to show the type checker that the specified properties hold. The
power to prove properties of programs in these two styles is a
profound addition to the practice of programming, giving
programmers the power to guarantee the absence of bugs, and thus
improve the quality of software more than previously possible.
Verified Functional Programming in Agda is the first book to
provide a systematic exposition of external and internal
verification in Agda, suitable for undergraduate students of
Computer Science. No familiarity with functional programming or
computer-checked proofs is presupposed. The book begins with an
introduction to functional programming through familiar examples
like booleans, natural numbers, and lists, and techniques for
external verification. Internal verification is considered through
the examples of vectors, binary search trees, and Braun trees. More
advanced material on type-level computation, explicit reasoning
about termination, and normalization by evaluation is also
included. The book also includes a medium-sized case study on
Huffman encoding and decoding.
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