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» Computationally Sound Proofs
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132
Voted
CIE
2006
Springer
15 years 8 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 8 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 8 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
143
Voted
CIE
2008
Springer
15 years 6 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
109
Voted
DCC
2010
IEEE
15 years 4 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