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RTA
2005
Springer
15 years 3 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner

Lecture Notes
841views
16 years 8 months ago
General Equilibrium Theory
These lecture notes cover several topics such as Topological Space, Metric Space, Convex Sets, Correspondences, Maximum Theorem, KKM Theorem, Existence of Maximal Element, Selectio...
Nicholas C. Yannelis
RSCTC
2000
Springer
147views Fuzzy Logic» more  RSCTC 2000»
15 years 1 months ago
Towards Rough Neural Computing Based on Rough Membership Functions: Theory and Application
This paper introduces a neural network architecture based on rough sets and rough membership functions. The neurons of such networks instantiate approximate reasoning in assessing ...
James F. Peters, Andrzej Skowron, Liting Han, Shee...
CORR
2008
Springer
113views Education» more  CORR 2008»
14 years 9 months ago
A Functional Hitchhiker's Guide to Hereditarily Finite Sets, Ackermann Encodings and Pairing Functions
The paper is organized as a self-contained literate Haskell program that implements elements of an executable finite set theory with focus on combinatorial generation and arithmet...
Paul Tarau
ISCI
2008
181views more  ISCI 2008»
14 years 9 months ago
Attribute reduction in decision-theoretic rough set models
Rough set theory can be applied to rule induction. There are two different types of classification rules, positive and boundary rules, leading to different decisions and consequen...
Yiyu Yao, Yan Zhao