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» A hierarchy of hereditarily finite sets
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MLQ
2008
67views more  MLQ 2008»
13 years 6 months ago
Classical truth in higher types
We study, from a classical point of view, how the truth of a statement about higher type functionals depends on the underlying model. The models considered are the classical set-t...
Ulrich Berger
AGI
2011
12 years 10 months ago
Measuring Agent Intelligence via Hierarchies of Environments
Under Legg’s and Hutter’s formal measure [1], performance in easy environments counts more toward an agent’s intelligence than does performance in difficult environments. An ...
Bill Hibbard
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
CP
2007
Springer
13 years 10 months ago
The Expressive Power of Valued Constraints: Hierarchies and Collapses
Abstract. In this paper we investigate the ways in which a fixed collection of valued constraints can be combined to express other valued constraints. We show that in some cases a ...
David A. Cohen, Peter Jeavons, Stanislav Zivn&yacu...
FUIN
2007
93views more  FUIN 2007»
13 years 6 months ago
Finitary Compositions of Two-way Finite-State Transductions
Abstract. The hierarchy of arbitrary compositions of two-way nondeterministic finite-state transductions collapses when restricted to finitary transductions, i.e., transductions ...
Joost Engelfriet, Hendrik Jan Hoogeboom