Parametric array theories are extensions of the quantifier-free theory of arrays with relations that hold componentwise. We show that these theories retain rich (general and uniform) quantifier-free interpolation properties. Our results include the interpolation properties of the simple flat array fragment, which were left open in the literature.

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Interpolating Parametric Array Theories

  • Rodrigo Raya,
  • Christophe Ringeissen

摘要

Parametric array theories are extensions of the quantifier-free theory of arrays with relations that hold componentwise. We show that these theories retain rich (general and uniform) quantifier-free interpolation properties. Our results include the interpolation properties of the simple flat array fragment, which were left open in the literature.