We investigate intermediate logics between the bunched logics Boolean BI and Classical BI, obtained by combining classical propositional logic with various flavours of Hyland and De Paiva’s full intuitionistic linear logic. Thus, in addition to the usual multiplicative conjunction (with its adjoint implication and unit), our logics also feature a multiplicative disjunction (with its adjoint co-...

The calculus of Lambek (1958) did not make much impact until the 1980s, but for more than twenty years now it has constituted the foundation of type logical categorial grammar. It has occupied such a central position because of its good logical properties, but it has also been clear, even from the start of its renaissance, that the Lambek calculus suffers from fundamental shortcomings, which we...

We propose a method of generating teaching policies for use in intelligent tutoring systems (ITS) for concept learning tasks [37], e.g., teaching students the meanings of words by showing images that exemplify their meanings à la Rosetta Stone [30] and Duo Lingo [13]. The approach is grounded in control theory and capitalizes on recent work by [28], [29] that frames the “teaching” problem as th...