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AML
2006
103views more  AML 2006»
13 years 10 months ago
Decision methods for linearly ordered Heyting algebras
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;...
Roy Dyckhoff, Sara Negri
AML
2006
87views more  AML 2006»
13 years 10 months ago
Herbrand's theorem and term induction
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...
Matthias Baaz, Georg Moser
AML
2005
81views more  AML 2005»
13 years 9 months ago
A logical and algebraic treatment of conditional probability
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...
Tommaso Flaminio, Franco Montagna
AML
2005
58views more  AML 2005»
13 years 9 months ago
Successors of singular cardinals and coloring theorems I
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...
Todd Eisworth, Saharon Shelah
AML
2004
90views more  AML 2004»
13 years 9 months ago
A comparison of two systems of ordinal notations
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...
Harold Simmons