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» The Algebra of Equality Proofs
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AISC
2010
Springer
13 years 11 months ago
A Formal Quantifier Elimination for Algebraically Closed Fields
We prove formally that the first order theory of algebraically closed fields enjoy quantifier elimination, and hence is decidable. This proof is organized in two modular parts. We ...
Cyril Cohen, Assia Mahboubi
DCG
2007
58views more  DCG 2007»
13 years 8 months ago
Harmonic Algebraic Curves and Noncrossing Partitions
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
Jeremy L. Martin, David Savitt, Ted Singer
AML
2005
104views more  AML 2005»
13 years 8 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
TOOLS
1999
IEEE
14 years 13 days ago
Class Algebra for Ontology Reasoning
Class algebra provides a natural framework for sharing of ISA hierarchies between users that may be unaware of each other's definitions. This permits data from relational dat...
Daniel J. Buehrer, Chee-Hwa Lee
IANDC
2010
102views more  IANDC 2010»
13 years 6 months ago
Presenting functors on many-sorted varieties and applications
This paper studies several applications of the notion of a presentation of a functor by operations and equations. We show that the technically straightforward generalisation of th...
Alexander Kurz, Daniela Petrisan