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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.

6.3.2 Deciding NP-languages in exponential time . . . . . . 208 ... Purpose of the Theory of Computation: Develop formal math-ematical models of computation that reflect real-world computers. ... It is a theory course that is the third part in the series COMP 1805, COMP 2804, COMP 3803, COMP 3804, and COMP 4804. ...

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