Data on colour-matching and the relative luminous efficiency of selected spectral
wavelengths are given for some 400 observers. Both sets of data are found to be …

Inductive theorem proving in the form of descente infinie was known to the ancient Greeks
and is the standard induction method of a working mathematician since it was reinvented in …

Unification is one of the key procedures in first-order theorem provers. Most first-order
theorem provers use the Robinson unification algorithm. Although its complexity is in the …

Data is presented which was obtained by a colorimetric survey involving some 400
observers, all with normal colour vision. The particular data given in this paper refer only to …

In this paper we study the axiomatic system proposed by Bourbaki for the Theory of Sets in
the Éléments de Mathématique. We begin by examining the role played by the sign\uptau τ …

Division by zero is a controversial theme. Why is division by zero a relevant issue and how
can this issue be addressed from different perspectives? Fracterm is used as an …

Hilbert and Bernays avoided overspecification of Hilbert's ε-operator. They axiomatized only
what was relevant for their proof-theoretic investigations. Semantically, this left the ε-operator …

The lives of mathematical prodigies who passed away very early after groundbreaking work
invoke a fascination for later generations: The early death of Niels Henrik Abel (1802–1829) …

Recursion can be conveniently modeled with left-linear positive/negative-conditional term
rewriting systems, provided that non-termination, non-trivial critical overlaps, non-right …

Using a human-oriented formal example proof of the lim+-theorem (that the sum of limits is
the limit of the sum), we exhibit a non-permutability of β-steps and δ+-steps (according to …