In perturbation theory we study the matching in four dimensions between the linear sigma model in the large mass limit and the renormalized nonlinear sigma model in the recently proposed flat connection formalism. We consider both the chiral limit and the strong coupling limit of the linear sigma model. Our formalism extends to Green functions with an arbitrary number of pion legs, at one loop ...

We study the hierarchy of reeection principles obtained by restricting the full local reeection schema to the classes of the arithmetical hierarchy. Optimal conservation results w.r.t. the arithmetical complexity for such principles are obtained. Reeection principles, for an arithmetical theory T, are formal schemata expressing the soundness of T, that is, the statement that \every sentence pro...

Backward induction is the most widely accepted principle for predicting behavior in dynamic games. In experiments, however, players frequently violate this principle. An alternative is a 2-parameter “dynamic level-k” model, where players choose a rule from a rule hierarchy. The rule hierarchy is iteratively defined such that the level-k rule is a best-response to the level-(k− 1) rule and the l...

We study the hierarchy of re ection principles obtained by restricting the full local re ection schema to the classes of the arithmetical hierarchy Optimal conservation results w r t the arithmetical complexity for such principles are obtained Re ection principles for an arithmetical theory T are formal schemata ex pressing the soundness of T that is the statement that every sentence provable i...

SHAI is developing a comprehensive Operator Machine Interface Assistant (OMIA) system. The system will assist operators learn the new common-cockpit MH-60R and MH-60S helicopters in an increasingly broad variety of mission tasks and analyses, using the wide assortment of sensor, navigation, and computational resources available. We are employing a principle hierarchy based intelligent tutoring ...

A five-dimensional scenario with a non compact extra dimension of infinite extent is studied, in which a single three-brane is affected by small Gaussian fluctuations in the extra dimension. The average magnitude of the fluctuations is of order of the electro-weak length scale (σ ∼ m−1 EW ). The model provides an stochastic approach to gravity that accounts for an alternative resolution of the ...

The principle of substance stability – the feedback principle – is applicable to all biological systems. It boils down for different temporal hierarchies to the following: during the formation (self-assembly) of the most thermodynamically stable structures at the highest hierarchical level (j), e.g., the supramolecular level, in accordance with the second law, Nature spontaneously uses predomin...

We examine the possibility of determining the neutrino mass hierarchy in the limit θ13 = 0 using atmospheric neutrinos as the source. In this limit, in which θ13 driven matter effects are absent, independent measurements of ∆31 and ∆32 can, in principle, lead to hierarchy determination. Since the difference between these two is ∆21, one needs an experimental arrangement where ∆21L/E & 1 can be ...

Backward induction is the most widely accepted principle for predicting behavior in dynamic games. In experiments, however, players frequently violate this principle. An alternative is a 2-parameter “dynamic level-k” model, where players choose a rule from a rule hierarchy. The rule hierarchy is iteratively defined such that the level-k rule is a best-response to the level-(k − 1) rule and the ...

Scalable formal analysis of reactive programs demands integration of modular reasoning techniques with existing analysis tools. Principles such as abstraction, compositional re-nement, and assume-guarantee reasoning are well understood for architectural hierarchy that describes the communication structure between component processes, and have been shown to be useful. In this paper, we develop t...