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theory of computation puntambekar book free download pdf
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theory of computation puntambekar book free download pdf

Review of Mathematical Terms and Theory Basic mathematical notations and set theory, Logic functions and relations, Language definitions, Mathematical inductions and recursive definitions. Finite Automata Deterministic and non deterministic finite automata, -Transitions, Conversion from NFA to DFA, Kleene's theorem, Regular and non regular languages. CFG (Context Free Grammar) Introduction to CFG, CFG and known languages, Unions concatenations and *'S notations and CFL, Derivations of trees and ambiguity, Unambiguous CFG and algebric expressions, Normal forms and siplified forms. Pushdown Automata, CFL and NFL Introduction to PDA, Definition, DPDA, PDA corresponding to CFG, CFG corresponding to PDA, Introduction to CFL, Intersections and complements of CFL, Decisions problems and CFL Turing Machines, Recursive Language Model of computation and church turning thesis, Definition of turing machine, Tm and language acceptors, Variations of Tm, Non deterministic Tm, Universal Tm, Enumerable and language, Recursive and non recursive enumerable. Computation Functions, Measuring, Classifications and Complexity Primitive recursive functions, Halting problem, Recursive predicates and some bounded operations, Unbounded minimizations and m - Recursive functions, Godel numbering, Computable functions and m - Recursive, Numerical functions. Tractable and Intractable Problems Growth rate and functions, Time and speed complexity, Complexity classes, Tractable and possibly intractable problems, P and Np completeness, Reduction of time, Cook's theorem, Np-complete problems.

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theory of computation puntambekar book free download pdf

Review of Mathematical Terms and Theory Basic mathematical notations and set theory, Logic functions and relations, Language definitions, Mathematical inductions and recursive definitions. Finite Automata Deterministic and non deterministic finite automata, -Transitions, Conversion from NFA to DFA, Kleene's theorem, Regular and non regular languages. CFG (Context Free Grammar) Introduction to CFG, CFG and known languages, Unions concatenations and *'S notations and CFL, Derivations of trees and ambiguity, Unambiguous CFG and algebric expressions, Normal forms and siplified forms. Pushdown Automata, CFL and NFL Introduction to PDA, Definition, DPDA, PDA corresponding to CFG, CFG corresponding to PDA, Introduction to CFL, Intersections and complements of CFL, Decisions problems and CFL Turing Machines, Recursive Language Model of computation and church turning thesis, Definition of turing machine, Tm and language acceptors, Variations of Tm, Non deterministic Tm, Universal Tm, Enumerable and language, Recursive and non recursive enumerable. Computation Functions, Measuring, Classifications and Complexity Primitive recursive functions, Halting problem, Recursive predicates and some bounded operations, Unbounded minimizations and m - Recursive functions, Godel numbering, Computable functions and m - Recursive, Numerical functions. Tractable and Intractable Problems Growth rate and functions, Time and speed complexity, Complexity classes, Tractable and possibly intractable problems, P and Np completeness, Reduction of time, Cook's theorem, Np-complete problems.
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In computer theory and mathematics, computer theory is the branch that deals with how problems can be solved in a computational model, using an algorithm. The field is divided into three main branches: automaton and language theory, computability theory and computational complexity theory, which are linked by the question: "What are the fundamental capacities and limitations of computers ? ".


To perform a rigorous study of computing, computer scientists work with a mathematical abstraction of computers called the computer model. There are several models in use, but the most commonly examined is the Turing machine. Computer scientists study the Turing machine because it is simple to formulate, can be analyzed and used to test results, and because it represents what many consider to be the most powerful "reasonable" model of computation (see Church-Turing thesis ). It might seem that potentially infinite memory capacity is an unrealisable attribute, but any decidable problem  solved by a Turing machine will always require only a finite amount of memory. Thus, in principle, any problem that can be solved (decided) by a Turing machine can be solved by a computer that has a finite amount of memory.

History

The theory of computation can be considered the creation of models of all type in the field of computer science. Therefore, mathematics and logic are used. In the last century it became an independent academic discipline and separated from mathematics.

Some pioneers of computer theory were Alonzo Church, Kurt Gödel, Alan Turing, Stephen Kleene, John von Neumann and Claude Shannon.
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