A Course in Formal Languages, Automata and Groups

A Course in Formal Languages, Automata and Groups

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This book is based on notes for a mastera€™s course given at Queen Mary, University of London, in the 1998/9 session. Such courses in London are quite short, and the course consisted essentially of the material in the ?rst three chapters, together with a two-hour lecture on connections with group theory. Chapter 5 is a considerably expanded version of this. For the course, the main sources were the books by Hopcroft and Ullman ([20]), by Cohen ([4]), and by Epstein et al. ([7]). Some use was also made of a later book by Hopcroft and Ullman ([21]). The ulterior motive in the ?rst three chapters is to give a rigorous proof that various notions of recursively enumerable language are equivalent. Three such notions are considered. These are: generated by a type 0 grammar, recognised by a Turing machine (deterministic or not) and de?ned by means of a Godel Iˆ numbering, having de?ned a€œrecursively enumerablea€ for sets of natural numbers. It is hoped that this has been achieved without too many ar- ments using complicated notation. This is a problem with the entire subject, and it is important to understand the idea of the proof, which is often quite simple. Two particular places that are heavy going are the proof at the end of Chapter 1 that a language recognised by a Turing machine is type 0, and the proof in Chapter 2 that a Turing machine computable function is partial recursive.These are: computation by register programs, by abacus machines and by Turing machines. ... As mentioned above, this is heavy going, although briefer than if the theory of modular machines had been developed. ... A complete solutions manual, password protected, is available to instructors via the Springer website.

Title:A Course in Formal Languages, Automata and Groups
Author: Ian M. Chiswell
Publisher:Springer Science & Business Media - 2008-11-14

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