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CIE
2006
Springer
15 years 10 months ago
Inverting Monotone Continuous Functions in Constructive Analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
BIRTHDAY
2003
Springer
15 years 10 months ago
On the Difference Problem for Semilinear Power Series
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r-s is a rational series. This result can be tho...
Ion Petre
HOA
1995
15 years 10 months ago
Third-Order Matching in the Polymorphic Lambda Calculus
We show that it is decidable whether a third-order matching problem in the polymorphic lambda calculus has a solution. The proof is constructive in the sense that an algorithm can...
Jan Springintveld
CIE
2008
Springer
15 years 8 months ago
Herbrand Theorems and Skolemization for Prenex Fuzzy Logics
Approximate Herbrand theorems are established for first-order fuzzy logics based on continuous t-norms, and used to provide proof-theoretic proofs of Skolemization for their Prenex...
Matthias Baaz, George Metcalfe
DCC
2010
IEEE
15 years 6 months ago
On hyperovals of polar spaces
We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank r {2, 3}. We give a computer-free proof for the uniqueness, up to isomorphism, of the...
Bart De Bruyn