Computational Category Theory
by D.E. Rydeheard, R.M. Burstall
Number of pages: 263
This book is an account of a project in which basic constructions of category theory are expressed as computer programs. The programs are written in a functional programming language, called ML, and have been executed on examples. The authors have used these programs to develop algorithms for the unification of terms and to implement a categorical semantics. In general, this book is a bridge-building exercise between category theory and computer programming. These efforts are a first attempt at connecting the abstract mathematics with concrete programs, whereas others have applied categorical ideas to the theory of computation.
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by Harold Abelson, Gerald Jay Sussman, Julie Sussman - McGraw-Hill
The book teaches how to program by employing the tools of abstraction and modularity. The central philosophy is that programming is the task of breaking large problems into small ones. You will learn how to program and how to think about programming.
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 David Schmidt - Kansas State University
Denotational semantics is a methodology for giving mathematical meaning to programming languages and systems. This book was written to make denotational semantics accessible to a wider audience and to update existing texts in the area.
by Andrew M. Pitts - University of Cambridge
These notes introduce the structural, operational approach to programming language semantics. The course shows how to specify the meaning of some simple programming language constructs and to reason formally about semantic properties of programs.