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» Forcing in proof theory
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CADE
1990
Springer
15 years 7 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...
143
Voted
TYPES
1998
Springer
15 years 7 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»
15 years 3 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
122
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APAL
2002
105views more  APAL 2002»
15 years 3 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»
15 years 3 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