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» A Useful Undecidable Theory
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LICS
1999
IEEE
15 years 7 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
15 years 7 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
15 years 7 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»
15 years 5 months 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»
15 years 3 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...