Semantics With Applications: A Formal Introduction
by Hanne Riis Nielson, Flemming Nielson
Publisher: John Wiley & Sons 1992
Number of pages: 250
The book covers the foundations of structural operational semantics (where computations consist of many small steps) and natural semantics (where computations consist of one big step). It shows how to describe the semantics of declarative as well as imperative language constructs and will also touch upon non-sequential constructs. It also presents proof principles for operational semantics and investigate the relationship between the two approaches to operational semantics. Problems from areas such as compiler construction, software validation, and program verication will be used to demonstrate the practical utility of semantics.
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by Peter Selinger - Dalhousie University
Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, type inference, etc.
by Doug Hoyte - Lulu.com
One of the most hardcore computer programming books out there. Starting with the fundamentals, it describes the most advanced features of the most advanced language: Common Lisp. This book is about macros, that is programs that write programs.
by Andrea Asperti, Giuseppe Longo - MIT Press
Here is an introduction to category theory for the working computer scientist. It is a self-contained introduction to general category theory and the mathematical structures that constitute the theoretical background.
by Noah D. Goodman, Andreas Stuhlmüller - dippl.org