GATE 2026 TOC One Shot Revision Timestamps | Theory of Computation Chapters
[0:00] Introduction and Session Overview The instructor welcomes students, checks audio/video clarity, and outlines the revision session for GATE Computer Science, covering the entire Theory of Computation subject in a single session. [5:00] Basics of Strings and Languages Covers fundamental definitions: sigma as a finite set of symbols, strings as finite sequences, languages as subsets of sigma star, and the number of n-length strings (k^n). [10:00] Language Count and Automata Relationships Discusses the number of finite, infinite, regular, and non-regular languages over sigma, and compares the power of DFA/NFA, DPDA/PDA, and DTM/NTM, highlighting equivalences and differences. [15:00] String Operations: Prefix, Suffix, Substring, Subsequence Explains definitions and counts of prefixes, suffixes, substrings, and subsequences for a string of length n, including non-empty variants and GATE exam examples. [20:00] Chomsky Hierarchy and Language Classes Reviews the Chomsky hierarchy: Type 3 (regular), Type 2 (context-free), Type 1 (context-sensitive), and Type 0 (recursively enumerable) languages, their automata, grammars, and subset relationships. [25:00] Regular Expressions: Properties and Identities Covers key properties of regular expression operators (union, concatenation, Kleene star): identity, domination, commutativity, associativity, and distributivity, with examples. [30:00] Equivalent Regular Expressions and Simplification Explains how to identify equivalent regular expressions, simplify expressions using properties, and handle common GATE questions involving expressions like (a+b)*, a*, b*, and their combinations. [35:00] Regular Languages: Automata and Grammars Discusses DFA, NFA, regular grammars (LLG/RLG), minimization of DFA, Myhill-Nerode theorem, pumping lemma, closure properties, and conversion between representations. [40:00] Regular Expressions for Specific Languages Provides regular expressions for languages like all strings, starting with a, even/odd length, exactly two a's, and maximum two length, with multiple equivalent forms.
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