0

0

The Instructions to Authors for Infection and Immunity state that “IAI will not consider papers that are . . . purely descriptive” (3). When applied to science, the word “descriptive” has acquired dismissive or pejorative connotations and is frequently provided as justification for rejection of a manuscript or grant application. Given the widespread use of this adjective and its profound implic...

Generalized Descriptive Geometry (GDG) denotes all techniques of imaging abstract objects and their relations, which are constructive in the same sense as the methods of classical descriptive geometry, i.e., there have to be algorithms concerning the abstract objects (may be decision processes) so that there are translations into algorithms working with the pictures instead of the abstract obje...

We investigate the complexity of the xed-points of bounded formulas in the context of nite set theory; that is, in the context of arbitrary classes of nite structures that are equipped with a built-in BIT predicate, or equivalently, with a built-in membership relation between hereditarily nite sets (input relations are allowed). We show that the iteration of a positive bounded formula converges...

In this article we survey the emerging field of descriptive graph combinatorics. This area has developed in the last two decades or so at the interface of descriptive set theory and graph theory, and it has interesting connections with other areas such as ergodic theory and probability theory. Our object of study is the theory of definable graphs, usually Borel or analytic graphs on Polish spac...