Rule-based Computation and Deduction
by Helene Kirchner, Pierre-Etienne Moreau
Publisher: ESSLLI 2001
Number of pages: 100
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.
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by Anil Maheshwari, Michiel Smid - Carleton University
This is a textbook for an undergraduate course on the Theory of Computation. Contents: Finite Automata and Regular Languages; Context-Free Languages; Turing Machines and Church-Turing Thesis; Decidable and Undecidable Languages; Complexity Theory.
by Stephen Wolfram - Westview Press
These original papers on cellular automata and complexity provide a highly readable account of what has become a major new field of science, with important implications for computer science, physics, economics, biology, and many other areas.
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 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.