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AML
2007
87views more  AML 2007»
13 years 7 months ago
Preservation theorems for bounded formulas
In this paper we naturally define when a theory has bounded quantifier elimination, or is bounded model complete. We give several equivalent conditions for a theory to have each...
Morteza Moniri
COLT
1994
Springer
13 years 11 months ago
Rigorous Learning Curve Bounds from Statistical Mechanics
In this paper we introduce and investigate a mathematically rigorous theory of learning curves that is based on ideas from statistical mechanics. The advantage of our theory over ...
David Haussler, H. Sebastian Seung, Michael J. Kea...
LICS
2012
IEEE
11 years 10 months ago
The Ordinal-Recursive Complexity of Timed-arc Petri Nets, Data Nets, and Other Enriched Nets
—We show how to reliably compute fast-growing functions with timed-arc Petri nets and data nets. This construction provides ordinal-recursive lower bounds on the complexity of th...
Serge Haddad, Sylvain Schmitz, Philippe Schnoebele...
LICS
2012
IEEE
11 years 10 months ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
JSYML
2006
91views more  JSYML 2006»
13 years 7 months ago
On the Herbrand notion of consistency for finitely axiomatizable fragments of bounded arithmetic theories
Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic (Fund. Math. 171 (2002)), we show that there exists a number n such that m Sm (the u...
Leszek Aleksander Kolodziejczyk