A Kleene Theorem for Weighted ω-Pushdown Automata
Manfred Droste, Werner Kuich · Acta Cybernetica · 2017
Weighted ω-pushdown automata were introduced as generalization of the classical pushdown automata accepting infinite words by Büchi acceptance. The main result in the proof of the Kleene Theorem is the construction of a weighted ω-pushdown automaton for the ω-algebraic closure of subsets of a continuous star-omega semiring.