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» An Algebraic Proof of Deuber's Theorem
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CIE
2005
Springer
13 years 10 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
LPAR
2007
Springer
13 years 11 months ago
Zenon : An Extensible Automated Theorem Prover Producing Checkable Proofs
Abstract. We present Zenon, an automated theorem prover for first order classical logic (with equality), based on the tableau method. Zenon is intended to be the dedicated prover ...
Richard Bonichon, David Delahaye, Damien Doligez
CADE
2007
Springer
14 years 5 months ago
Combining Deduction and Algebraic Constraints for Hybrid System Analysis
We show how theorem proving and methods for handling real algebraic constraints can be combined for hybrid system verification. In particular, we highlight the interaction of deduc...
André Platzer
CSL
2005
Springer
13 years 10 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
RTA
2005
Springer
13 years 10 months ago
The Algebra of Equality Proofs
Proofs of equalities may be built from assumptions using proof rules for reflexivity, symmetry, and transitivity. Reflexivity is an axiom proving x=x for any x; symmetry is a 1-p...
Aaron Stump, Li-Yang Tan