Abstract. The decision problem for positively quantified formulae in the theory of linearly ordered Heyting algebras is known, as a special case of work of Kreisel, to be solvable;...
We study the formal rst order system Tind in the standard language of Gentzen's LK. Tind extends LK by the purely logical rule of term-induction, that is a restricted inductio...
This paper is devoted to a logical and algebraic treatment of conditional probability. The main ideas are the use of non-standard probabilities and of some kind of standard part f...
In this paper, we investigate the extent to which techniques used in [10], [2], and [3] -- developed to prove coloring theorems at successors of singular cardinals of uncountable c...
The standard method of generating countable ordinals from uncountable ordinals can be replaced by a use of fixed point extractors available in the term calculus of Howard's s...