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» The Algebra of Equality Proofs
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CC
2008
Springer
13 years 8 months ago
The Strength of Multilinear Proofs
We introduce an algebraic proof system that manipulates multilinear arithmetic formulas. We show that this proof system is fairly strong, even when restricted to multilinear arith...
Ran Raz, Iddo Tzameret
TAMC
2010
Springer
14 years 29 days ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret
CSL
2010
Springer
13 years 9 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
CSL
2005
Springer
14 years 1 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
MKM
2005
Springer
14 years 1 months ago
An Interactive Algebra Course with Formalised Proofs and Definitions
Andrea Asperti, Herman Geuvers, Iris Loeb, Lionel ...