Formal Theories for Linear Algebra

We introduce two-sorted theories in the style of [CN10] for the complexity classes \oplusL and DET, whose complete problems include determinants over Z2 and Z, respectively. We then describe interpretations of Soltys' linear algebra theory LAp over arbitrary integral domains, into each of our n...

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Bibliographic Details
Main Authors: Stephen A Cook, Lila A Fontes
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2012-03-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/716/pdf