Mixed Theories

In the present paper we investigate the life cycles of formalized theories that appear in decision making instruments and science. In few words mixed theories are build in the following steps: Initially a small collection of facts is the kernel of the theory. To express these facts we make a special formalized language. When the collection grows we add some inference rules and thus some axioms to compress the knowledge. The next step is to generalize these rules to all expressions in the formalized language. For these rules we introduce some conclusion procedure. In such a way we make small theories for restricted fields of the knowledge. The most important procedure is the mixing of these partial knowledge systems. In that step we glue the theories together and eliminate the contradictions. The last operation is the most complicated one and some simplifying procedures are proposed.

Automatic Generation of Titles for a Corpus of Questions

This paper describes the followed methodology to automatically generate titles for a corpus of questions that belong to sociological opinion polls. Titles for questions have a twofold function: (1) they are the input of user searches and (2) they inform about the whole contents of the question and possible answer options. Thus, generation of titles can be considered as a case of automatic summarization. However, the fact that summarization had to be performed over very short texts together with the aforementioned quality conditions imposed on new generated titles led the authors to follow knowledge-rich and domain-dependent strategies for summarization, disregarding the more frequent extractive techniques for summarization.

Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations

AMS Subj. Classification: 47J10, 47H30, 47H10