Separation of Test-Free Propositional Dynamic Logics over Context-Free Languages
Abstract
For a class L of languages let PDL[L] be an extension of Propositional Dynamic Logic which allows programs to be in a language of L rather than just to be regular. If L contains a non-regular language, PDL[L] can express non-regular properties, in contrast to pure PDL. For regular, visibly pushdown and deterministic context-free languages, the separation of the respective PDLs can be proven by automata-theoretic techniques. However, these techniques introduce non-determinism on the automata side. As non-determinism is also the difference between DCFL and CFL, these techniques seem to be inappropriate to separate PDL[DCFL] from PDL[CFL]. Nevertheless, this separation is shown but for programs without test operators.
Cite
@article{arxiv.1106.1242,
title = {Separation of Test-Free Propositional Dynamic Logics over Context-Free Languages},
author = {Markus Latte},
journal= {arXiv preprint arXiv:1106.1242},
year = {2011}
}
Comments
In Proceedings GandALF 2011, arXiv:1106.0814