Generalized queries are deened as sets of clauses in implication form. They cover several tasks of practical importance for database maintenance such as answering positive queries, computing database completions and integrity constraints checking. We address the issue of answering generalized queries under the minimal model semantics for the class of Disjunctive Deductive Databases (DDDBs). Our...

Abstract In this paper, we present the monotonicity analysis for nabla fractional differences with discrete generalized Mittag-Leffler kernels $( {}^{ABR}_{a-1}{\nabla }^{\delta ,\gamma }y )(\eta )$ (a−1A</mm...

In 1991, Wei introduced generalized minimum Hamming weights for linear codes and showed their monotonicity and duality. Recently, several authors extended these results to the case of generalized minimum poset weights by using different methods. Here, we would like to prove the duality by using matroid theory. This gives yet another and very simple proof of it. In particular, our argument will ...

In this paper, we introduce the concept of generalized relaxed αpseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed α-pseudomonotonicity assumptions in reflexive Banach spaces. Several examples are provided to illustrate our investigations.

In this correspondence, we give a new definition of generalized Hamming weights of nonlinear codes and a new interpretation connected with it. These generalized weights are determined by the entropy/length profile of the code. We show that this definition characterizes the performance of nonlinear codes on the wire-tap channel of type II. The new definition is invariant under translates of the ...

Suppose M is a complete n-dimensional manifold, n ≥ 2, with a metric gij(x, t) that evolves by the Ricci flow ∂tgij = −2Rij in M × (0, T ). For any 0 < p < 1, (p0, t0) ∈ M × (0, T ), q ∈ M , we define the Lp-length between p0 and q, Lp-geodesic, the generalized reduced distance lp and the generalized reduced volume Ṽp(τ), τ = t0 − t, corresponding to the Lp-geodesic at the point p0 at time t0. ...

We consider nonclassical entropy solutions to scalar conservation laws with concaveconvex flux functions, whose set of leftand right-hand admissible states ul, ur across undercompressive shocks is selected by a kinetic function ur = φ(ul). We introduce a new definition for the (generalized) strength of classical and nonclassical shocks, allowing us to propose a generalized notion of total varia...

In pattern mining, one of the most important problems is fighting exponential explosion of the set of patterns. A typical solution is generating only a part of all patterns satisfying some criteria. The most well-known criterion is support of a pattern, which has the monotonicity property allowing one to generate only frequent (highly supported) patterns. Many other useful criteria are not mono...

This paper develops a formal test for consistency of players’ behavior in a series of games with the quantal response equilibrium (QRE). The test exploits a characterization of the equilibrium choice probabilities in a QRE as the gradient of a convex function, which thus satisfies the cyclic monotonicity inequalities. Our testing procedure utilizes recent econometric results for moment inequali...