Weighted restarting automata and pushdown relations

Relations and Transductions Realized by Restarting Automata

In the present thesis we introduce several ways of extending restarting automata to devices for realizing binary (word) relations, which is mainly motivated by linguistics. In particular, we adapt the notion of input/output-relations and proper-relations to restarting automata and to parallel communicating systems of two restarting automata (PC-systems). Further, we introduce a new model, calle...

Hankel Matrices for Weighted Visibly Pushdown Automata

Restarting Tree Automata

Restarting Automata: Motivations and Applications

Automata with restart operation (henceforth RA) constitute an interesting class of acceptors and reduction systems at the same time, and simultaneously display a remarkable ’explicative power’ wrt. the analysis of formal and natural languages. This paper focuses on RA as a formal-theoretical tool for modelling the analysis by reduction of natural languages and on the role of analysis by reducti...

A Kleene Theorem for Weighted ω-Pushdown Automata

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.