A Function Elimination Method for Checking Satisfiability of Arithmetical Logics

Valentina Castiglioni, Ruggero Lanotte, Simone Tini · Fundamenta Informaticae · 2016

We study function elimination for Arithmetical Logics. We propose a method allowing substitution of functions occurring in a given formula with functions with less arity. We prove the correctness of the method and we use it to show the decidability of the satisfiability problem for two classes of f ormulas allowing linear and polynomial terms.

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