Finite Automata, Regular Expressions, and Lexical Analysis

Posted by on Jan 27, 2025 in Commerce | 0 comments

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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