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» A Useful Undecidable Theory
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LICS
1999
IEEE
14 years 2 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
TYPES
1994
Springer
14 years 2 months ago
A Concrete Final Coalgebra Theorem for ZF Set Theory
A special final coalgebra theorem, in the style of Aczel's [2], is proved within standard Zermelo-Fraenkel set theory. Aczel's AntiFoundation Axiom is replaced by a varia...
Lawrence C. Paulson
GROUP
2007
ACM
14 years 2 months ago
A field study of community bar: (mis)-matches between theory and practice
Community Bar (CB) is groupware supporting informal awareness and casual interaction. CB's design was derived from three sources: prior empirical research findings concerning...
Natalia A. Romero, Gregor McEwan, Saul Greenberg
ITP
2010
230views Mathematics» more  ITP 2010»
14 years 3 days ago
On the Formalization of the Lebesgue Integration Theory in HOL
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Tarek Mhamdi, Osman Hasan, Sofiène Tahar
CORR
2008
Springer
149views Education» more  CORR 2008»
13 years 10 months ago
Gaussian Belief Propagation for Solving Systems of Linear Equations: Theory and Application
The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we...
Ori Shental, Danny Bickson, Paul H. Siegel, Jack K...