This if the final paper in series Continuous Quivers of Type A. In this part, we generalize existing geometric models type A cluster structures for new E-clusters introduced part (III). We also introduce an isomorphism theories and a weak equivalence theories. Examples both are given. use these isomorphisms to begin classifying continuous generalization mutation. encompasses mutation (infinite)...

An effective technique for generating instances of a metamodel should quickly and automatically generate instances satisfying the metamodel’s structural and OCL constraints. Ideally it should also produce quantitatively meaningful instances with respect to certain criteria, that is, instances which meet specified generic coverage criteria that help the modelers test or verify a metamodel at a g...

We develop a simple functional programming language aimed at manipulating infinite, but first-order definable structures, such as the countably infinite clique graph or the set of all intervals with rational endpoints. Internally, such sets are represented by logical formulas that define them, and an external satisfiability modulo theories (SMT) solver is regularly run by the interpreter to che...

Charge transport through a molecular junction comprising an oligomer of p-phenylene-vinylene between gold contacts has been investigated using density-functional theory and the nonequilibrium Green’s function method. The influence of the contact gap geometry on the transport has been studied for elongated and contracted gaps, as well as various molecular conformations. The calculated current-vo...

The phenomenology of the ”0.7 anomaly” in quantum point contacts is fully explained in terms of a quasi-localized state, which forms as the point contact opens up. Detailed numerical calculations within spin-density functional theory indeed confirm the emergence of such a state. Quantitative calculations of the conductance and the noise are obtained using a model based on these observations, an...

This paper contains a series of easy constructions and observations relating to the Lascar group and to simple theories. 1 In x1 we review basic model theoretic ideas, relating mostly to model completion and saturated models. We do so in order to introduce a framework very slightly more general than the usual rst-order one that will be useful to us, and that we hope may be useful in the future....

The evolution operator for states of gauge theories in the graph representation (closely related to the loop representation) is formulated as a weighted sum over worldsheets interpolating between initial and final graphs. As examples, lattice SU(2) BF and Yang-Mills theories are expressed as worldsheet theories, and (formal) worldsheet forms of several continuum U(1) theories are given. It is a...

Motivated by the problem of query answering over multiple structured commonsense theories, we exploit graph-based techniques to improve the efficiency of theorem proving for structured theories. Theories are organized into subtheories that are minimally connected by the literals they share. We present message-passing algorithms that reason over these theories while minimizing the number of infe...

Manna and Pnueli have extensively shown how a mixture of firstorder logic (FOL) and discrete Linear time Temporal Logic (LTL) is sufficient to precisely state verification problems for the class of reactive systems. Theories in FOL model the (possibly infinite) data structures used by a reactive system while LTL specifies its (dynamic) behavior. In this paper, we give a decidability result for ...

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