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CADE
1990
Springer
13 years 11 months ago
IMPS: An Interactive Mathematical Proof System
imps is an Interactive Mathematical Proof System intended as a general purpose tool for formulating and applying mathematics in a familiar fashion. The logic of imps is based on a...
William M. Farmer, Joshua D. Guttman, F. Javier Th...
TYPES
1998
Springer
13 years 11 months ago
Proof Normalization Modulo
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
Gilles Dowek, Benjamin Werner
OL
2008
62views more  OL 2008»
13 years 7 months ago
An economic approach to some classical theorems in optimization theory
: This short article offers economically intuitive proofs of the Euler equation and the maximum principle based on one of the best known results in economics, namely that the margi...
Guang-Zhen Sun
APAL
2002
105views more  APAL 2002»
13 years 7 months ago
Saturated models of universal theories
A notion called Herbrand saturation is shown to provide the modeltheoretic analogue of a proof-theoretic method, Herbrand analysis, yielding uniform model-theoretic proofs of a nu...
Jeremy Avigad
BSL
2007
53views more  BSL 2007»
13 years 7 months ago
Fragment of Nonstandard Analysis with a Finitary Consistency Proof
We introduce a nonstandard arithmetic NQA− based on the theory developed by R. Chuaqui and P. Suppes in [2] (we will denote it by NQA+ ), with a weakened external open minimizati...
Michal Rössler, Emil Jerábek