NFA, DFA, Automata, Parsing, and Regular Expressions

NFA vs. DFA

Here’s a comparison of NFA (Non-deterministic Finite Automaton) and DFA (Deterministic Finite Automaton):

  • NFA: The transition from a state can be to multiple next states for each input symbol. Hence it is called non-deterministic.
  • DFA: The transition from a state is to a single particular next state for each input symbol. Hence it is called deterministic.
  • NFA: Permits empty string transitions.
  • DFA: Empty string transitions are not seen in DFA.
  • NFA: Backtracking is not always possible.
  • DFA:
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Finite State Machines and Regular Expressions

Definitions and Operations

  • To ∈ q ∈ Q and is defined: d(q) = (p / there is a marked transition dqap)
  • d(q) is the collection of states q “continue” to q directly through the transition marked with.
  • Example: (Image would go here – description: visual representation of state transitions)

Inside AFN with Transitions

The AFN without transitions:

  1. Calculate the Epsilon d-closing of all states.
  2. Draw the automaton without initial transitions.
  3. Put transitions: (q) = – c[d(- c(q))] = (p1, p2, …, pn). Draw
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Formal Language and Automata Theory

Formal Language and Automata Theory: Key Concepts

Alphabet

Question: What is an alphabet?

Answer: An alphabet is a finite set of symbols used as the basic building blocks for constructing strings in formal language theory. It represents the fundamental elements from which strings are formed. For example, the English alphabet consists of 26 letters: {a, b, c, …, z}.

Strings

Question: Define strings in the context of formal language theory.

Answer: In formal language theory, a string is a finite sequence

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Finite Automata, Regular Expressions, and Lexical Analysis

Finite Automata and Regular Expressions

A finite state machine (FSM) or finite state automaton is a mathematical model of a system. It takes a string consisting of symbols from an alphabet and determines if the string belongs to the language that the automaton recognizes.

Formally, a finite state machine can be described as a quintuple (S, Σ, T, s, A), where:

  • S: is a set of states
  • Σ: is an alphabet
  • T: is the transition function
  • s: is the initial state
  • A: is the set of final or accepting states

Forms of

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