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» On a Set Theory With Uncertain Membership Relations
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ICIC
2007
Springer
14 years 12 days ago
Rough Set Theory of Shape Perception
Humans can easily recognize complex objects even if values of their attributes are imprecise and often inconsistent. It is not clear how the brain processes uncertain visual inform...
Andrzej W. Przybyszewski
LICS
1999
IEEE
13 years 10 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 6 months ago
Executable Set Theory and Arithmetic Encodings in Prolog
The paper is organized as a self-contained literate Prolog program that implements elements of an executable finite set theory with focus on combinatorial generation and arithmetic...
Paul Tarau
PREMI
2007
Springer
14 years 11 days ago
Rough Set Theory of Pattern Classification in the Brain
Humans effortlessly classify and recognize complex patterns even if their attributes are imprecise and often inconsistent. It is not clear how the brain processes uncertain visual ...
Andrzej W. Przybyszewski
AI
2008
Springer
13 years 6 months ago
On the notion of concept I
It is well known that classical set theory is not expressive enough to adequately model categorization and prototype theory. Recent work on compositionality and concept determinat...
Michael Freund