or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Classical proof forests are a proof formalism for first-order classical logic based on Herbrand's Theorem and backtracking games in the style of Coquand. First described by M...
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...