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LOGCOM
2000
63views more  LOGCOM 2000»
14 years 7 days ago
Reflection principles in computational logic
We introduce the concept of reflection principle as a knowledge representation paradigm in a computational logic setting. Reflection principles are expressed as certain kinds of l...
Jonas Barklund, Pierangelo Dell'Acqua, Stefania Co...
AML
2004
52views more  AML 2004»
14 years 10 days ago
Generic compactness reformulated
We point out a connection between reflection principles and generic large cardinals. One principle of pure reflection is introduced that is as strong as generic supercompactness of...
Bernhard König
APAL
2005
83views more  APAL 2005»
14 years 11 days ago
Reflections on reflections in explicit mathematics
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the...
Gerhard Jäger, Thomas Strahm