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» Predicative fragments of Frege Arithmetic
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BSL
2004
49views more  BSL 2004»
13 years 5 months ago
Predicative fragments of Frege Arithmetic
Frege Arithmetic (FA) is the second-order theory whose sole non-logical axiom is Hume's Principle, which says that the number of Fs is identical to the number of Gs if and on...
Øystein Linnebo
NDJFL
2010
13 years 1 days ago
Numerical Abstraction via the Frege Quantifier
l Abstraction via the Frege Quantifier G. Aldo Antonelli Abstract This paper presents a formalization of first-order aritharacterizing the natural numbers as abstracta of the equin...
Gian Aldo Antonelli
AML
2005
104views more  AML 2005»
13 years 5 months ago
Weak theories of linear algebra
Abstract. We investigate the theories LA, LAP, LAP of linear algebra, which were originally defined to study the question of whether commutativity of matrix inverses has polysize F...
Neil Thapen, Michael Soltys
LPAR
2010
Springer
13 years 3 months ago
On the Satisfiability of Two-Variable Logic over Data Words
Data trees and data words have been studied extensively in connection with XML reasoning. These are trees or words that, in addition to labels from a finite alphabet, carry labels ...
Claire David, Leonid Libkin, Tony Tan
FMCAD
2009
Springer
13 years 12 months ago
Decision diagrams for linear arithmetic
—Boolean manipulation and existential quantification of numeric variables from linear arithmetic (LA) formulas is at the core of many program analysis and software model checkin...
Sagar Chaki, Arie Gurfinkel, Ofer Strichman