We define an extension of forest algebra for -forests. We show how the standard algebraic notions (free object, syntactic algebra, morphisms, etc.) extend to the infinite case. To ...
Since the early Sixties and Seventies it has been known that the regular and context-free languages arc characterized by definability in the monadic second-order theory of certain...
Abstract. This paper introduces matching logic, a novel framework for defining axiomatic semantics for programming languages, inspired from operational semantics. Matching logic sp...
Abstract. Tree-walking automata (TWAs) recently received new attention in the fields of formal languages and databases. Towards a better understanding of their expressiveness, we c...
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...