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ASIAN
2004
Springer
78views Algorithms» more  ASIAN 2004»
15 years 7 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
108
Voted
JIIS
2008
104views more  JIIS 2008»
15 years 1 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 6 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 6 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 1 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