Introduction to Languages, Machines and Logic Computable Languages, Abstract Machines and Formal Logic

1.1 Overview This chapter briefly describes: • what this book is about • what this book tries to do • what this book tries not to do • a useful feature of the book: the exercises. 1.2 What This Book Is About This book is about three key topics of computer science, namely computable lan­ guages, abst...

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Bibliographic Details
Main Author: Parkes, Alan P.
Format: eBook
Language:English
Published: London Springer London 2002, 2002
Edition:1st ed. 2002
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Introduction to Languages, Machines and Logic  |h Elektronische Ressource  |b Computable Languages, Abstract Machines and Formal Logic  |c by Alan P. Parkes 
250 |a 1st ed. 2002 
260 |a London  |b Springer London  |c 2002, 2002 
300 |a XI, 351 p  |b online resource 
505 0 |a 1 Introduction -- Overview -- What This Book Is About -- What This Book Tries to Do -- What This Book Tries Not to Do -- The Exercises -- Further Reading -- Some Advice -- 1 Languages and Machines -- 2 Elements of Formal Languages -- 3 Syntax, Semantics, and Ambiguity -- 4 Regular Languages and Finite State Recognisers -- 5 Context Free Languages and Pushdown Recognisers -- 6 Important Features of Regular and Context Free Languages -- 7 Phrase Structure Languages and Turing Machines -- 2 Machines and Computation -- 8 Finite State Transducers -- 9 Turing Machines as Computers -- 10 Turing’s Thesis and the Universality of the Turing Machine -- 11 Computability, Solvability, and the Halting Problem -- 12 Dimensions of Computation -- 3 Computation and Logic -- 13 Boolean Logic and Propositional Logic -- 14 First Order Predicate Logic -- 15 Logic and Computation -- Solutions to Selected Exercises -- 2 -- 3 -- 4 -- 5 -- 6 -- 7 -- 8 -- 9 -- 10 -- 11 -- 12 -- 13 -- 14 -- 15 -- Further Reading 
653 |a Computation by Abstract Devices 
653 |a Mathematical Logic and Formal Languages 
653 |a Mathematical logic 
653 |a Computers 
653 |a Artificial Intelligence 
653 |a Mathematical Logic and Foundations 
653 |a Theory of Computation 
653 |a Computer mathematics 
653 |a Artificial intelligence 
653 |a Computational Mathematics and Numerical Analysis 
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520 |a 1.1 Overview This chapter briefly describes: • what this book is about • what this book tries to do • what this book tries not to do • a useful feature of the book: the exercises. 1.2 What This Book Is About This book is about three key topics of computer science, namely computable lan­ guages, abstract machines, and logic. Computable languages are related to what are usually known as "formal lan­ guages". I avoid using the latter phrase here because later on in the book I distin­ guish between formal languages and computable languages. In fact, computable languages are a special type of formal languages that can be processed, in ways considered in this book, by computers, or rather abstract machines that represent computers. Abstract machines are formal computing devices that we use to investigate prop­ erties of real computing devices. The term that is sometimes used to describe abstract machines is automata, but that sounds too much like real machines, in particular the type of machines we call robots. The logic part of the book considers using different types of formal logic to represent things and reason about them. The logics we consider all play a very important role in computing. They are Boolean logic, propositional logic, and first order predicate logic (FOPL)