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The present paper is a direct continuation of [2], where it is shown that any strongly minimal trivial theory is model complete after naming constants for a model. In this paper we show that this re...
A survey on Mselenijoint disease in South Africa involved the scoring ofpelvic X-rays of women to measure osteoporosis. The scores were ordinal by construction and ranged from 0 to 12. It is standard ...
Abstract: The subject of the present work is the "de Rham part" of non-commutative Hodge structures on the periodic cyclic homology of differential graded algebras and categories. We discuss explicit ...
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. The paper is self-contained, and in particular does not assume any ...
In programming language semantics, it has proved to be fruitful to analyze context-dependent notions of computation, e.g.,
In programming language semantics, it has proved to be fruitful to analyze context-dependent notions of computation, e.g., dataflow computation and attribute grammars, using comonads.
An original presentation of Categorical Quantum Physics, in the line of Abramsky and Coecke [10], tries to introduce only objects and assumptions that are clearly relevant to Physics and does not assu...
Model theoretic internality provides conditions under which the group of automorphisms of a model over a reduct is itself a definable group. In this paper we formulate a categorical analogue of the co...
We examine the use of the mathematics of category theory in the description of quantum states by tensor networks. This approach enables the development of a categorical framework allowing a solution...
Our aim is to detect mechanistic interaction between the effects of two causal factors on a binary response, as an aid to identifying situations where the effects are mediated by a common mechanism. W...
Polar decomposition unquestionably provides a notion of factorization in the category of Hilbert spaces. But it does not fit existing categorical notions, mainly because its factors are not closed und...
We prove that every many-sorted !-categorical theory is com-pletely interpretable in a one-sorted !-categorical theory. As an ap-plication, we give a short proof of the existence of non G–compact !-ca...
Categorical Quantum Circuits     Categorical  Quantum  Circuits       2010/11/8
The aim of this work is to bring the fields of category theory and quantum information science into closer contact. Specifically, we present an explicit representation of dagger compact closed categor...
We relate notions of complementarity in three layers of quantum mechanics:(i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices.

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