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94
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APAL
2004
111views more  APAL 2004»
15 years 12 days ago
Concept lattices and order in fuzzy logic
The theory of concept lattices (i.e. hierarchical structures of concepts in the sense of Port-Royal school) is approached from the point of view of fuzzy logic. The notions of par...
Radim Belohlávek
104
Voted
APAL
2004
81views more  APAL 2004»
15 years 12 days ago
The complexity of first-order and monadic second-order logic revisited
The model-checking problem for a logic L on a class C of structures asks whether a given L-sentence holds in a given structure in C. In this paper, we give super-exponential lower...
Markus Frick, Martin Grohe
APAL
2004
75views more  APAL 2004»
15 years 12 days ago
An intensional fixed point theory over first order arithmetic
The purpose of this article is to present a new theory IPA() for fixed points over arithmetic which allows the building up of fixed points in a very nested and entangled way. But ...
Gerhard Jäger
95
Voted
APAL
2002
105views more  APAL 2002»
15 years 12 days ago
Saturated models of universal theories
A notion called Herbrand saturation is shown to provide the modeltheoretic analogue of a proof-theoretic method, Herbrand analysis, yielding uniform model-theoretic proofs of a nu...
Jeremy Avigad
89
Voted
APAL
2000
61views more  APAL 2000»
15 years 11 days ago
Higher type recursion, ramification and polynomial time
It is shown how to restrict recursion on notation in all finite types so as to characterize the polynomial time computable functions. The restrictions are obtained by using a rami...
Stephen J. Bellantoni, Karl-Heinz Niggl, Helmut Sc...