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ASIAN
2004
Springer
78views Algorithms» more  ASIAN 2004»
15 years 11 months ago
A Simple Theory of Expressions, Judgments and Derivations
We propose a simple theory of expressions which is intended to be used as a foundational syntactic structure for the Natural Framework (NF). We define expression formally and give...
Masahiko Sato
JIIS
2008
104views more  JIIS 2008»
15 years 6 months ago
A framework for checking proofs naturally
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
Masahiko Sato
CADE
1990
Springer
15 years 10 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
15 years 10 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 6 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