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2008

A modal perspective on monadic second-order alternation hierarchies

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A modal perspective on monadic second-order alternation hierarchies
abstract. We establish that the quantifier alternation hierarchy of formulae of Second-Order Propositional Modal Logic (SOPML) induces an infinite corresponding semantic hierarchy over the class of finite directed graphs. This is a response to an open problem posed in [4] and [8]. We also provide modal characterizations of the expressive power of Monadic Second-Order Logic (MSO) and address a number of points that should promote the potential advantages of viewing MSO and its fragments from the modal perspective.
Antti Kuusisto
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2008
Where AIML
Authors Antti Kuusisto
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