This article describes and discusses an ongoing change of case marking, NOM(inative) > OBL(ique), in certain predicates Swedish (type Då kan du vara jag mig). has gone largely unnoticed hitherto. The discussion is based on a large-scale online survey, conducted May 2016. It was tested whether the relates to finiteness or semantics. results strongly indicate that latter case. found express role ...

We present a model for the speciication of time restrictions in communicating systems that is based on predicates. The model ts for continuous and discrete time domains, but we x our attention to the non-negative reals. It is possible to express delays, timed interrupts and the requirement that a process should nish within a given time by means of operators on speciications. Some propositions a...

We give a construction of coequalisers in formal topology, a predicative version of locale theory. This allows for construction of quotient spaces and identification spaces in constructive topology.

Ordinal systems are structures for describing ordinal notation systems, which extend the more predicative approaches to ordinal notation systems, like the Can-tor normal form, the Veblen function and the Sch utte Klammer symbols, up to the Bachmann-Howard ordinal.-ordinal systems, which are natural extensions of this approach, reach without the use of cardinals the strength of the theories for ...

In order to avoid well-know paradoxes associated with self-referential definitions, higher-order dependent type theories stratify the theory using a countably infinite hierarchy of universes (also known as sorts), Type0 : Type1 : · · · . Such type systems are called cumulative if for any type A we have that A : Typei implies A : Typei+1. The Predicative Calculus of Inductive Constructions (pCIC...

Kripke’s notion of groundedness plays a central role in many responses to the semantic paradoxes. Can the notion of groundedness be brought to bear on the paradoxes that arise in connection with abstraction principles? We explore a version of grounded abstraction whereby term models are built up in a ‘grounded’ manner. The results are mixed. Our method solves a problem concerning circularity an...