Formal Languages And Automata - Theory Notes Pdf

| Type | Grammar Name | Language Class | Automaton | Production Rule Form | |------|--------------|----------------|------------|----------------------| | Type 0 | Unrestricted | Recursively Enumerable | Turing Machine | α → β (any) | | Type 1 | Context-Sensitive | Context-Sensitive | Linear Bounded Automaton (LBA) | αAβ → αγβ (γ ≠ ε) | | Type 2 | Context-Free | Context-Free | Pushdown Automaton (PDA) | A → γ | | Type 3 | Regular | Regular | Finite Automaton (FA) | A → aB or A → a |

Convert NFA to DFA.

An abstract self-operating machine (mathematical model) that processes strings and decides whether to accept or reject them. formal languages and automata theory notes pdf

What are the capabilities and limitations of computing devices? 2. Basic Terminology | Term | Definition | Example | |------|------------|---------| | Alphabet (Σ) | Finite, non-empty set of symbols | Σ = a, b | | String (Word) | Finite sequence of symbols over Σ | aabb | | Empty String (ε) | String with zero symbols | ε | | Length | Number of symbols in a string | | aab | = 3 | | Kleene Star (Σ*) | Set of all possible strings over Σ (incl. ε) | ε, a, b, aa, ab, ... | | Kleene Plus (Σ⁺) | Σ* without ε | a, b, aa, ab, ... | | Language (L) | Any subset of Σ* | L = strings starting with 'a' | 3. Classification of Grammars (Chomsky Hierarchy) Noam Chomsky classified formal grammars into four types, each generating a specific class of languages. | Type | Grammar Name | Language Class

Prove n≥0 is not context-free using pumping lemma. | | Kleene Plus (Σ⁺) | Σ* without ε | a, b, aa, ab,

Design CFG for balanced parentheses.