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Theory of Computation

Introduction to Theory of ComputationAnil Maheshwari Michiel SmidSchool of Computer ScienceCarleton 17, 2019iiContentsContentsPrefacevi1 Purpose and motivation .. Complexity Theory .. Computability Theory .. automata Theory .. This course .. Mathematical preliminaries .. Proof techniques .. Direct proofs .. Constructive proofs .. Nonconstructive proofs .. Proofs by contradiction .. The pigeon hole principle .. Proofs by induction .. More examples of proofs .. 15 Exercises .. 182 Finite automata and Regular An example: Controling a toll gate .. Deterministic finite automata .. A first example of a finite automaton .. A second example of a finite automaton .. A third example of a finite automaton .. Regular operations .. Nondeterministic finite automata .

1.1.3 Automata theory Automata Theory deals with definitions and properties of different types of “computation models”. Examples of such models are: • Finite Automata. These are used in text processing, compilers, and hardware design. • Context-Free Grammars. These are used to define programming lan-guages and in Artificial ...

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