The notion of Newton–like inequalities is extended and an inductive approach is utilized to show that the generalized Newton–like inequalities hold on elementary symmetric functions with self–conjugate variables in the right half–plane.

We prove boundedness of minimizers of energy-functionals, for instance of the anisotropic type (1.1) below, under sharp assumptions on the exponents pi in terms of p ∗: the Sobolev conjugate exponent of p; i.e., p∗ = np n−p , 1 p = 1 n Pn i=1 1 pi . As a consequence, by mean of regularity results due to Lieberman [21], we obtain the local Lipschitz-continuity of minimizers under sharp assumptio...

There are a large number of tomato cultivars with a wide range of morphological, chemical, nutritional and sensorial characteristics. Many factors are known to affect the nutrient content of tomato cultivars. A complete understanding of the effect of these factors would require an exhaustive experimental design, multidisciplinary scientific approach and a suitable statistical method. Some multi...

Scalable formal verification constitutes an important challenge for the design of asynchronous circuits. Deadlock freedom is a property that is desired but hard to verify. It is an emergent property that has to be verified monolithically. We present our approach to using ACL2 to verify necessary and sufficient conditions over asynchronous delay-insensitive primitives. These conditions are used ...

In this paper we explore a proof-theoretic approach to the combination of generic proof-search and theory-specific procedures, in presence of quantifiers. Forming the basis of tableaux methods, the sequent calculus is refined with meta-variables (a.k.a existential variables or free variables) to delay the choice of witnesses, and parameterised by theory-specific features based on a system of co...

We present an extension of first-order predicate logic with a novel predicate ‘at t’ meaning intuitively “this term is a variable symbol”. We give simple sequent proof-rules for it, we demonstrate cut-elimination for the resulting logic, and we give a semantics for which the logic is sound and complete. Because we can now make assertions about what would normally be considered an intensional pr...

Cats are nice. (: : :) because cats never overlap. Abstract In this paper we discuss two approaches to adverbial quantiication, the so-called`bound variable approach' and thèsituation-based approach', and we address the suggestion that has been made in the literature that the latter reduces to the former as soon as the underlying structure of situations has been characterized at the required le...

We present a procedure for translating standard predicate logic into English. The procedure generates both referring expressions and non-referring expressions, including both referential and bound variable anaphora. Non-referring expressions correspond to short-term discourse referents [1], which present a special set of challenges for a natural language generation system: (i) they have limited...

1. Let us agree on the following notation. Lower-case Latin letters from a to n (inclusively) with indices and without them will be used as variables for nonnegative integers, the remaining lower-case Latin letters will be used as variables for integers. Analogously, lower case Greek letters from to will be used as metavariables for nonnegative integers, and the rest of the Greek letters will b...

We argue that the semantics of a null complement spot in such sentences is given by a free variable, which may either occur free (so that the null complement is interpreted like a deictic) or bound (so that the reading of the whole utterance is quantificational). We also propose that the syntax is what one sees on the surface: there aren't empty categories which are complements to the verbs, an...