Conditional narrowing modulo SMT and axioms

Abstract

This work presents a narrowing calculus for reachability problems in order-sorted conditional rewrite theories whose underlying equational logic is composed of some theories solvable via a satisfiability modulo theories (SMT) solver plus some combination of associativity, commutativity, and identity axioms for the non-SMT part of the equational logic; the conditions of the rules can be either rewrite conditions or quantifier-free SMT formulas. For any normalized answer of a reachability problem, this calculus computes this answer, or a more general one that can be instantiated to it.