|E book Particulars :
Theory of Computer Science Automata Languages and Computation
- Propositions AND Predicates
- Mathematical Preliminaries
- The Theory of Automata
- Formal Languages
- Common Units and Common Grammars
- Context free Languages
- Pushdown Automata
- LR(okay) Grammars
- Turing Machines and Linear Bounded Automata
- Decidability and Recursively Enumerable Languages
Preface to Theory of Computer Science
The enlarged third version of Thea/}’ of Computer Science is the end result of the enthusiastic reception given to earlier editions of this e book and the suggestions acquired from the scholars and academics who used the second version for a number of years,
The brand new version offers with all features of theoretical laptop science, specifically automata, formal languages, computability and complexity,
Only a few books mix all these theories and give/enough examples. This e book offers quite a few examples that illustrate the fundamental ideas.
It’s profusely illustrated with diagrams. Whereas coping with theorems and algorithms, the emphasis is on constructions.
Every building is instantly adopted by an instance and solely then the formal proof is given in order that the scholar can grasp the method concerned within the building earlier than taking on the formal proof.
The important thing characteristic of the e book that units it other than different books is the supply of detailed options (on the finish of the e book) to chapter-end workouts.
The chapter on Propositions and Predicates (Chapter 10 of the second version) is now the primary chapter within the re-creation. The adjustments in different chapters have been made with out affecting the construction of the second version.
The chapter on Turing machines (Chapter 7 of the second version) has undergone main adjustments. A novel characteristic of the third version is the addition of goal sort questions in every chapter underneath the heading Self-Check.
This offers a possibility to the scholar to check whether or not he has totally grasped the basic ideas.
Moreover, a complete quantity of 83 extra solved examples have been added as Supplementary Examples which improve the range of issues handled within the e book.
The sections on pigeonhole precept and the precept of induction (each in Chapter 2) have been expanded. In Chapter 5, a rigorous proof of Kleene’s theorem has been included.
The chapter on LR(okay) grammars stays the identical Chapter 8 as within the second version. Chapter 9 focuses on the therapy of Turing machines (TMs).
A brand new part on high-level description of TM has been added and that is utilized in later examples and proofs. Some strategies for the development of TMs have been added in Part 9.6.
The multitape Turing machine and the nondeterministic Turing machine are mentioned in Part 9.7. A brand new chapter (Chapter 10) on decidability and recursively enumerable languages is included on this third version.
Within the earlier version solely a sketchy introduction to those ideas was given. Some examples of recursively enumerable languages are given in Part 10.3 and undecidable languages are mentioned in Part lOA.
The halting drawback of TM is mentioned in Part 10.5. Chapter 11 on computability is Chapter 9 of the earlier version with out adjustments. Chapter 12 is a brand new chapter on complexity principle and NP-complete issues.
Cook dinner’s theorem is proved intimately. A bit on Quantum Computation is added because the final part on this chapter.
Though this matter doesn’t fall underneath the purview of theoretical laptop science, this part is added with a view to indicating how the success of Quantum Computer systems will result in dramatic adjustments in complexity principle sooner or later.
The e book fulfils the curriculum wants of undergraduate and postgraduate college students of laptop science and engineering in addition to these of MCA programs.
Although designed for a one-year course, the e book can be utilized as a onesemester textual content by a considered selection of the subjects offered.
Particular thanks go to all of the academics and college students who patronized this e book over time and provided useful strategies which have led to this re-creation.
Particularly, the vital feedback of Prof. M. Umaparvathi, Professor of Arithmetic, Seethalakshmi School, Tiruchirapalli are gratefully acknowledged.
Lastly. the receipt of strategies, feedback and error stories for additional enchancment of the e book can be welcomed and duly acknowledged.