In this paper we study interpolation in local extensions of a base theory. We identify situations in which it is possible to obtain interpolants in a hierarchical manner, by using ...
Ordinary logical implication is not enough for answering queries in a logic database, since especially negative information is only implicitly represented in the database state. M...
Abstract. We introduce a tree-sequent calculus for inquisitive logic (Groenendijk 2008) as a special form of labelled deductive system (Gabbay 1996). In particular, we establish th...
We report on work in progress regarding a foundation for the notion of meta-variable in logical frameworks and type theories. Our proposal is to treat meta-variables as modal varia...
Aleksandar Nanevski, Brigitte Pientka, Frank Pfenn...
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...