We show that there is a model of ZF in which the Borel hierarchy on the reals has length 2. This implies that 1 has countable cofinality, so the axiom of choice fails very badly i...
In Answer Set Programming it is not possible to deduce any conclusion from an inconsistent program (ie: a program that has no model). The same issue occurs in classical logic wher...
We propose a novel mixtures of Gaussian processes model in which the gating function is interconnected with a probabilistic logical model, in our case Markov logic networks. In th...
In the paper we establish the xed-parameter complexity for several parameterized decision problems involving models, supported models and stable models of logic programs. We also e...
I give a `totality space' model for linear logic [4], detaking an abstract view of computations on a datatype. The model has similarities with both the coherence space model ...