Logic Characterization of Floyd Languages
Formal Languages and Automata Theory
2012-04-23 v1 Logic in Computer Science
Abstract
Floyd languages (FL), alias Operator Precedence Languages, have recently received renewed attention thanks to their closure properties and local parsability which allow one to apply automatic verification techniques (e.g. model checking) and parallel and incremental parsing. They properly include various other classes, noticeably Visual Pushdown languages. In this paper we provide a characterization of FL in terms a monadic second order logic (MSO), in the same style as Buchi's one for regular languages. We prove the equivalence between automata recognizing FL and the MSO formalization.
Cite
@article{arxiv.1204.4639,
title = {Logic Characterization of Floyd Languages},
author = {Violetta Lonati and Dino Mandrioli and Matteo Pradella},
journal= {arXiv preprint arXiv:1204.4639},
year = {2012}
}