A set $I$ is said to be a universal indifferent for $1$-genericity if every $1$-generic $G$ and all $X \subseteq I$, $G \Delta X$ also $1$-generic. Miller showed that there no infinite $1$-genericity. We introduce two variants (union subsequence sets $1$-genericity) of the notion indifference prove are non-trivial with respect these notions. In contrast, we show non-computable weak-$1$-generici...

In our opinion, methods for construction of reliable software are of great importance. Reliability engineering must start in the earliest phases of a software project, and it has to consider not only the architectural level, but should be in the mind of humans even earlier when analyzing the problem space. In a previous paper, we argued that reduction of redundancy of software is a central fact...

There are various opinions about how the phenomenon of sentential genericity (Carlson and Pelletier, 1995) is related to other classes of expressions of natural language. The notion of 'genericity' is most commonly viewed as having close ties to tense, mood and aspect (cf. Dahl, 1985; Comrie, 1985). For instance, philosophers and occasionally linguists (e.g. Dahl, 1975, 1985, and 1995) make use...

An explicit character formula is established for any strongly generic finite-dimensional irreducible g-module, g being an arbitrary finite-dimensional complex Lie superalgebra. This character formula had been conjectured earlier by Vera Serganova and the author for any generic irreducible finite-dimensional g-module, i.e. such that its highest weight is far enough from the walls of the Weyl cha...

We consider a family of variational problems on a Hilbert manifold parameterized by an open subset of a Banach manifold, and we discuss the genericity of the nondegeneracy condition for the critical points. Based on an idea of B. White [24], we prove an abstract genericity result that employs the infinite dimensional Sard–Smale theorem. Applications are given by proving the genericity of metric...

An explicit character formula is established for any strongly generic nite-dimensional irreducible g-module, g being an arbitrary nite-dimensional complex Lie superalgebra. This character formula had been conjectured earlier by Vera Serganova and the author for any generic irreducible nite-dimensional g-module, i.e. such that its highest weight is far enough from the walls of the Weyl chambers....