Elements of Programming
by Alexander Stepanov, Paul McJones
Publisher: Semigroup Press 2019
Number of pages: 279
This book applies the deductive method to programming by affiliating programs with the abstract mathematical theories that enable them to work. Specification of these theories, algorithms written in terms of these theories, and theorems and lemmas describing their properties are presented together.
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by Eric C.R. Hehner - Springer
Understanding programming languages requires knowledge of the underlying theoretical model. This book explores aspects of programming that are amenable to mathematical proof. It describes a simple and comprehensive theory.
by Tobias Nipkow, Gerwin Klein - Springer
The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a tool for formal proofs about computer science artefacts. All the mathematics is formalised in Isabelle and much of it is executable.
by Bill Hails
This book presents an informal and friendly introduction to some of the core ideas in modern computer science, using the programming language Perl as its vehicle. The book takes the form of a series of working interpreters for the language PScheme.
by J. Girard, Y. Lafont, P. Taylor - Cambridge University Press
This little book comes from a short graduate course on typed lambda-calculus given at the Universite Paris. It is not intended to be encyclopedic and the selection of topics was really quite haphazard. Some very basic knowledge of logic is needed.