 ##  [Automata-Theoretic Method](/automata-theoretic-method) 

  ##  [Automata-Theoretic Method](https://mathlogic.quantumdictionary.io/automata-theoretic-method-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A technique that reduces logical decision problems to questions about finite or infinite automata and the language-theoretic properties of the languages those automata accept, using effective translations between formulas/models and automata so that satisfiability, validity, or model-checking reduces to emptiness, inclusion, or acceptance problems for automata.