Theory of Computation and Automata Theory ( Full Course )

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About course :
We begin with a study of finite automata and the languages they can define (the so-called "regular languages." Topics include deterministic and nondeterministic automata, regular expressions, and the equivalence of these language-defining mechanisms. We also look at closure properties of the regular languages, e.g., the fact that the union of two regular languages is also a regular language. We consider decision properties of regular languages, e.g., the fact that there is an algorithm to tell whether or not the language defined by two finite automata are the same language. Finally, we see the pumping lemma for regular languages - a way of proving that certain languages are not regular languages.

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0:00:00 Course outline and motivation
0:14:56 Informal introduction to finite automata
0:26:07 Deterministic finite automata
1:02:01 Nondeterministic finite automata
1:47:50 Regular expression
2:26:04 Regular Expression in the real world
2:42:39 Decision expression in the real world
3:23:57 Closure properties of regular language
3:44:20 Introduction to context free grammars
4:11:23 Parse trees
4:37:28 Normal forms for context free grammars
5:04:55 Pushdown automata
5:28:47 Equivalence of PDAs and CFGs
5:47:10 The pumping lemma for CFLs
5:59:18 Decision and closure properties for CFLs
6:34:31 Turing machines
7:08:37 Extensions and properties of turing machines
7:45:54 Decidability
8:04:18 Specific indecidable problems
9:00:11 P and NP
9:25:36 Satisfability and cooks theorem
10:09:33 Specific NP-complete problems
10:42:14 Problem Session 1
10:57:18 Problem Session 2
11:06:49 Problem Session 3
11:29:06 Problem Session 4

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⌨️ This course is created in collaboration with Stanford University.

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