I Stubbe - arXiv preprint math/0411366, 2004 - arxiv.org
Our subject is that of categories, functors and distributors enriched in a base quantaloid Q. We show how cocomplete Q-categories are precisely those which are tensored and …
A Baltag, S Smets - Mathematical structures in computer science, 2006 - cambridge.org
The main contribution of this paper is the introduction of a dynamic logic formalism for reasoning about information flow in composite quantum systems. This builds on our …
A Baltag, S Smets - International Journal of Theoretical Physics, 2005 - Springer
We present two equivalent axiomatizations for a logic of quantum actions: one in terms of quantum transition systems, and the other in terms of quantum dynamic algebras. The main …
We address the old question whether a logical understanding of Quantum Mechanics requires abandoning some of the principles of classical logic. Against Putnam and others …
JC Baez, A Lauda - Deep Beauty: Understanding the Quantum …, 2011 - books.google.com
14 a prehistory of n-categorical physics just categories and bicategories). We also include a review of some relevant aspects of twentieth-century physics. The most obvious roads to n …
A Baltag, B Coecke… - Journal of Logic and …, 2007 - ieeexplore.ieee.org
We provide an algebraic semantics together with a sound and complete sequent calculus for information update due to epistemic actions. This semantics is flexible enough to …
New scientific paradigms typically consist of an expansion of the conceptual language with which we describe the world. Over the past decade, theoretical physics and quantum …
A Baltag, S Smets - Studia Logica, 2008 - Springer
In this paper we show how recent concepts from Dynamic Logic, and in particular from Dynamic Epistemic logic, can be used to model and interpret quantum behavior. Our main …
In this paper we show how ideas coming from two areas of research in logic can reinforce each other. The first such line of inquiry concerns the “dynamic turn” in logic and especially …