In mathematical logic, monadic second-order logic (MSO) is the fragment of second-order logic where the second-order quantification is limited to ...
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Monadic second-order logic
In mathematical logic, monadic second-order logic is the fragment of second-order logic where the second-order quantification is limited to quantification over sets. Wikipedia
Monadic (second-order) logic is the extension of the first-order logic that allows quantification over monadic (unary) predicates. Thus, although binary, ...
Oct 25, 2017 · Full second-order logic defines exactly the polynomial hierarchy. This is exactly because of the ability to encode Turing machines and the fact ...
Aug 1, 2019 · An important special case is monadic second-order logic where no function variables are allowed and the relation variables are required to be ...
Monadic second-order logic (mso) is a logic with two types of quantifiers: one can quantify over elements, and one can quantify over sets of elements. One ...
We study the expressive power of this logic over graphs, proving that its existential fragment expresses some NP-complete problems, but at the same time cannot ...
Both first-order and second-order logic use the idea of a domain of discourse (often called simply the "domain" or the "universe"). The domain is a set over ...
Abstract. The notion of a recognizable set of finite graphs is introduced. Every set of finite graphs, that is definable in monadic second-order logic is ...
A formula in Monadic Second Order Logic (MSOL) may contain: • variables v1, v2, . . . for vertices. • variables e1, e2, . . . for edges.
Jan 24, 2022 · This closure property holds for structures such as finite words, finite trees, infinite words, infinite trees, elements of the free group, etc.