Abstract:Weighted monadic second-order logic is a weighted extension of monadic second-order logic that captures exactly the behaviour of weighted automata. Its semantics is parameterized with respect to a semiring on which the values that weighted formulas output are evaluated. Gastin and Monmege (2018) gave abstract semantics for a version of weighted monadic secondorder logic to give a more general and modular proof of the equivalence of the logic with weighted automata. We focus on the abstract semantics of the log… Show more
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