Abstract

This tutorial surveys selected recent results on the connection between monadic second-order logic and finite automata. As a unifying idea, the role of automata as normal forms of monadic formulas is pursued. In the first part we start from an automata-theoretic interpretation of existential monadic second-order formulas and in this framework explain the monadic quantifier alternation hierarchy over finite graphs. In the second part, infinite models, in particular /spl omega/-words, are considered. We analyze the logical significance of central constructions in /spl omega/-automata theory and sketch new proofs of decidability results in monadic second-order logic.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.