A Decision Procedure for Equality Logic with Uninterpreted Functions

Abstract

The equality logic with uninterpreted functions (EUF) has been proposed for processor verification. A procedure for proving satisfiability of formulas in this logic is introduced. Since it is based on the DPLL method, the procedure can adopt its heuristics. Therefore the procedure can be used as a basis for efficient implementations of satisfiability checkers for EUF. A part of the introduced method is a technique for reducing the size of formulas, which can also be used as a preprocessing step in other approaches for checking satisfiability of EUF formulas