There is a growing need for abstractions in logic specification languages such as FO(·) and ASP. One technique to achieve these abstractions are templates (sometimes called macros). While the semantics of templates are virtually always described through a syntactical rewriting scheme, we present an alternative view on templates as second order definitions. To extend the existing definition cons...

We construct a minimal rK-degree, continuum many, in fact. We also show that every minimal sequence, that is, a sequence with minimal rK-degree, must have very low descriptional complexity, that every minimal sequence is rK-reducible to a random sequence, and that there is a random sequence with no minimal sequence rK-reducible to it.

Richard Wright’s introductory essay to his collection of short stories Uncle Tom's Children describes hidden forms of resistance against Jim Crowism and Uncle Tomism. The essay entitled The Ethics of Living Jim Crow: An Autobiographical Sketch relates Wright’s daily confrontations with Jim Crowism with a particular emphasis on his evasive actions, and his covert activities, such as silence, pla...

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In this paper we develop a computational framework for the measurement of different factors or abilities which are usually found in intelligent behaviours. For this, we first develop a scale for measuring the complexity of an instance of a problem, depending on the descriptional complexity (Levin LT variant) of the ‘explanation’ of the answer to the problem. We centre on the establishment of ei...

This study explores buyers’ search and purchase behavior in an information-overloaded retail Electronic Marketplace (EMP). Two instrumental variables, i.e. number of visitors and number of sales for an item, are used to represent buyers’ search and purchase behavior. Price and reputation, two of the most frequently researched independent variables in EMP studies, are considered. The relationshi...

This paper discusses the descriptional complexity of generalized forbidding grammars in context of degrees, numbers of nonterminals and conditional productions, and a new descriptional complexity measure—an index—of generalized forbidding grammars.