The distinction between analytic and synthetic proofs is a very old and important one: An analytic proof uses only notions occurring in the proved statement while a synthetic proof uses additional ones. This distinction has been made precise by Gentzen’s famous cut-elimination theorem stating that synthetic proofs can be transformed into analytic ones. CERES (cut-elimination by resolution) is a...

Abstract Bright spots on the surface of Ceres exhibit a mineralogy resulting from aqueous processes that hint at past elements an world. Reports hydrated sodium chloride (hydrohalite) Occator crater suggested salts may result deep brines reached recently or currently, but spectral characteristics alkali halides make their identification difficult. However, anhydrous (halite) develops readily id...

CERES, HLK and ProofTool form together a system for the computer-aided analysis of mathematical proofs. This analysis is based on a proof transformation known as cut-elimination, which corresponds to the elimination of lemmas in the corresponding informal proofs. Consequently, the resulting formal proof in atomic-cut normal form corresponds to a direct, i.e. without lemmas, informal mathematica...

In support for the ISO Mission it has been necessary to establish a set of asteroids as photometric standards for the photometric calibration of the instruments (M uller & Lagerros 1998). The new standards are described as rotating ellipsoids. Illumination geometry, heat transfer due to non-zero thermal inertia and surface structure/porosity are taken into account. The characteristic properties...

[1] The daytime cloud fraction derived by the Clouds and the Earth’s Radiant Energy System (CERES) cloud algorithm using Moderate Resolution Imaging Spectroradiometer (MODIS) radiances over the Arctic from March 2000 through February 2004 increases at a rate of 0.047 per decade. The trend is significant at an 80% confidence level. The corresponding top-of-atmosphere (TOA) shortwave irradiances ...