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CIE
2009
Springer
14 years 12 days ago
The First Order Theories of the Medvedev and Muchnik Lattices
We show that the first order theories of the Medevdev lattice and the Muchnik lattice are both computably isomorphic to the third order theory of the natural numbers.
Andrew Lewis, André Nies, Andrea Sorbi
JSYML
2002
66views more  JSYML 2002»
13 years 8 months ago
The Strict Order Property and Generic Automorphisms
If T is a model complete theory with the strict order property, then the theory of the models of T with an automorphism has no model companion.
Hirotaka Kikyo, Saharon Shelah
LICS
2010
IEEE
13 years 6 months ago
On the Strictness of the First-Order Quantifier Structure Hierarchy over Finite Structures
One of the major interests of finite model theory is to separate the expressive power of different logics or fragments of logics. In this paper, we define a variant of EhrenfeuchtF...
Yuguo He
PODS
2006
ACM
156views Database» more  PODS 2006»
14 years 8 months ago
From statistical knowledge bases to degrees of belief: an overview
An intelligent agent will often be uncertain about various properties of its environment, and when acting in that environment it will frequently need to quantify its uncertainty. ...
Joseph Y. Halpern
LICS
1999
IEEE
14 years 22 days 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