Cut-elimination is the most prominent form of proof transformation in logic. The elimination of cuts in formal proofs corresponds to the removal of intermediate statements (lemmas) in mathematical proofs. The cut-elimination method CERES (cut-elimination by resolution) works by extracting a set of clauses from a proof with cuts. Any resolution refutation of this set then serves as a skeleton of...

We analyze an analytic center cutting plane algorithm for the convex feasibility problems with semideenite cuts. At each iteration the oracle returns a p-dimensional semideenite cut at an approximate analytic center of the set of localization. The set of localization, which contains the solution set, is a compact set consists of piecewise algebraic surfaces. We prove that the analytic center is...

In this paper, present a graph cuts based geodesic active contours (GAC) approach to object segmentation problems. Our method is a combination of geodesic active contours and the optimization tool of graph cuts and differs fundamentally from traditional active contours in that it uses graph cuts to iteratively deform the contour. Consequently, it has the following advantages. 1. It has the abil...

1D gridded design is one of the most promising solutions that can enable the scaling to 10nm technology node and beyond. Line-end cuts are needed to fabricate 1D layouts, where two techniques are available to resolve the conflicts between cuts: cut redistribution and cut mask assignment. In this paper, we consider incorporating the two techniques to enable the manufacturing of cut patterns in 1...

Recent studies have shown that MRI techniques are reliable to measure mid-sagittal cuts of the vocal tract. Three-dimensional images of the vocal tract have been proposed e.g. by Foldvick et al. [6], [7] but despite this advance, these images do not offer any accurate measurement of sagittal cuts or area functions. Advance in MRI performances allows to collect data much faster and with a better...

In this paper we describe a bifurcation analysis procedure for data driven background prediction under the conditions of a blinded signal box. The procedure uses the application of inverse cuts to properly measure the veto power of the different sets of cuts while not opening the signal box. This technique was first developed for a single background source in the stopped K experiments E787 and ...

We analyze the multiple cut generation scheme in the analytic center cutting plane method. We propose an optimal primal and dual updating direction when the cuts are central. The direction is optimal in the sense that it maximizes the product of the new dual slacks and of the new primal variables within the trust regions defined by Dikin’s primal and dual ellipsoids. The new primal and dual dir...