No, Parsing expression grammar (PEG) are not regular grammars at all.
For more resources, I think the related work of my paper has the main ones. The "Kleene meets Church" project has lot's of very good publications on the topic: https://di.ku.dk/kmc/publications/
For more resources, I think the related work of my paper has the main ones. The "Kleene meets Church" project has lot's of very good publications on the topic: https://di.ku.dk/kmc/publications/