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» The Algebra of Equality Proofs
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JCT
2010
79views more  JCT 2010»
13 years 2 months ago
Confinement of matroid representations to subsets of partial fields
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
Rudi Pendavingh, Stefan H. M. van Zwam
CIE
2005
Springer
14 years 1 months ago
A Logical Approach to Abstract Algebra
L APPROACH TO ABSTRACT ALGEBRA THIERRY COQUAND AND HENRI LOMBARDI Recent work in constructive mathematics show that Hilbert’s program works rge part of abstract algebra. Using in...
Thierry Coquand
AISC
2004
Springer
13 years 11 months ago
Four Approaches to Automated Reasoning with Differential Algebraic Structures
While implementing a proof for the Basic Perturbation Lemma (a central result in Homological Algebra) in the theorem prover Isabelle one faces problems such as the implementation o...
Jesús Aransay, Clemens Ballarin, Julio Rubi...
ACS
2005
13 years 7 months ago
Symmetric Brace Algebras
We develop a symmetric analog of brace algebras and discuss the relation of such algebras to L-algebras. We give an alternate proof that the category of symmetric brace algebras is...
Tom Lada, Martin Markl
ENTCS
2007
86views more  ENTCS 2007»
13 years 7 months ago
Tool Support for Proof Engineering
Modern integrated development environments (IDEs) provide programmers with a variety of sophisticated tools for program visualization and manipulation. These tools assist the prog...
Anne Mulhern, Charles Fischer, Ben Liblit