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CADE
1992
Springer
15 years 10 months ago
Little Theories
In the "little theories" version of the axiomatic method, different portions of mathematics are developed in various different formal axiomatic theories. Axiomatic theor...
William M. Farmer, Joshua D. Guttman, F. Javier Th...
EUSFLAT
2003
131views Fuzzy Logic» more  EUSFLAT 2003»
15 years 7 months ago
From communication networks to fuzzy sets
In 1931 and 1935, Ernst Adolph Guillemin, professor of electrical engineering at Masachusetts Institute of Technology (MIT), published the two volumes of his book “Communication...
Rudolf Seising
JAPLL
2008
79views more  JAPLL 2008»
15 years 6 months ago
The seven virtues of simple type theory
Simple type theory, also known as higher-order logic, is a natural extension of first-order logic which is simple, elegant, highly expressive, and practical. This paper surveys th...
William M. Farmer
CORR
2010
Springer
76views Education» more  CORR 2010»
15 years 6 months ago
Quantale Modules and their Operators, with Applications
The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Q-module...
Ciro Russo
MKM
2009
Springer
15 years 11 months ago
Formal Proof: Reconciling Correctness and Understanding
Hilbert’s concept of formal proof is an ideal of rigour for mathematics which has important applications in mathematical logic, but seems irrelevant for the practice of mathemati...
Cristian S. Calude, Christine Müller