Abstract. In this paper we explore the “for large enough” quantifier, also known as “all but finitely many”, which plays a central role in asymptotic reasoning, as used f...
The two-terminal reliability, known as the pair connectedness or connectivity function in percolation theory, may actually be expressed as a product of transfer matrices in which t...
Abstract. There is a very simple way in which the safe/normal variable discipline of Bellantoni-Cook recursion (1992) can be imposed on arithmetical theories like PA: quantify over...
Extractors are functions which are able to "extract" random bits from arbitrary distributions which "contain" sufficient randomness. Explicit constructions of ...
We discuss current approaches to the development of natural language dialogue systems, and claim that they do not sufficiently consider the unique qualities of man-machine intera...