Weighted Register Automata and Weighted Logic on Data Words

Abstract

In this paper, we investigate automata models for quantitative aspects of systems with infinite data domains, e.g., the costs of storing data on a remote server or the consumption of resources (e.g., memory, energy, time) during a data analysis. We introduce weighted register automata on data words and investigate their closure properties. In our main result, we give a logical characterization of weighted register automata by means of weighted existential monadic second-order logic; for the proof we employ a new class of determinizable visibly register automata.