An Introduction to the Theory of Computation
by Eitan Gurari
Publisher: Computer Science Pr 1989
Number of pages: 600
This book explores some of the more important terminologies and questions concerning programs, computers, problems, and computation. The exploration reduces in many cases to a study of mathematical theories, such as those of automata and formal languages; theories that are interesting also in their own right. These theories provide abstract models that are easier to explore, because their formalisms avoid irrelevant details.
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by Lawrence C Paulson - University of Cambridge
These lecture notes give a brief introduction to logic, with including the resolution method of theorem-proving and its relation to the programming language Prolog. Formal logic is used for specifying and verifying computer systems.
by David Evans - University of Virginia
An introduction to the most important ideas in computing. It focuses on how to describe information processes by defining procedures, how to analyze the costs required to carry out a procedure, and the limits of what can be computed mechanically.
by Roland Backhouse
The book on the fundamental algebraic structures in the mathematics of program construction focusing the algebraic properties of recursion and how these are applied to the generic solution of programming problems. The tutorial covers fixed point calculus.
by Helene Kirchner, Pierre-Etienne Moreau - ESSLLI
This text first introduces the concept of rewriting which is behind rule-based systems. Then the rewriting logic and the rewriting calculus are defined and shown to be especially suited to describing concurrent and non-deterministic computations.