Alternating Finite Automaton - Formal Definition

Formal Definition

An alternating finite automaton (AFA) is a 6-tuple, where

  • is a finite set of existential states. Also commonly represented as .
  • is a finite set of universal states. Also commonly represented as .
  • is a finite set of input symbols.
  • is a set of transition functions to next state .
  • is the initial (start) state, such that .
  • is a set of accepting (final) states such that .

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