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» Arguments for the continuity principle
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ECIR
1998
Springer
13 years 8 months ago
Modeling Information Retrieval with Probabilistic Argumentation Systems
Probabilistic Argumentation Systems (PAS) are a technique for representing uncertainty both symbolically and numerically. It is shown that this technique, which combines symbolic ...
Justin Picard, Rolf Haenni
IJBC
2006
83views more  IJBC 2006»
13 years 7 months ago
How Real are Real Numbers?
We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Emile Borel (1871
Gregory J. Chaitin
AI
2007
Springer
13 years 7 months ago
On the evaluation of argumentation formalisms
Argumentation theory has become an important topic in the field of AI. The basic idea is to construct arguments in favor and against a statement, to select the “acceptable” o...
Martin Caminada, Leila Amgoud
CIE
2006
Springer
13 years 11 months ago
Inverting Monotone Continuous Functions in Constructive Analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
TPHOL
2008
IEEE
14 years 1 months ago
Nominal Inversion Principles
When reasoning about inductively defined predicates, such as typing judgements or reduction relations, proofs are often done by inversion, that is by a case analysis on the last r...
Stefan Berghofer, Christian Urban