In this paper, we extend the notion of (word) derivatives and partial due to (respectively) Brzozowski Antimirov tree using already known inductive formulae quotients. We define a new family extended regular expressions (using negation or intersection operators), show how compute Brzozowski-like automaton; fixed point construction, when it exists, is derivative automaton. Such deterministic aut...

In this note, we investigate some simple generalizations of a bottom-up holographic approach to cosmology introduced in arXiv:1810.10601. Our models utilize the Karch/Randall/Takayanagi ansatz for gravitational dual boundary conformal field theory, involving pure AdS gravity and an end-of-the-world brane. Following suggestion made arXiv:2102.05057, consider with additional interface brane bulk....