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Minimisation of Multiplicity Tree Automata

Stefan Kiefer ; Ines Marusic ; James Worrell.

We consider the problem of minimising the number of states in a multiplicity tree automaton over the field of rational numbers. We give a minimisation algorithm that runs in polynomial time assuming unit-cost arithmetic. We also show that a polynomial bound in the standard Turing model would require&nbsp;[&hellip;]

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Game Characterization of Probabilistic Bisimilarity, and Applications to Pushdown Automata

Vojtěch Forejt ; Petr Jančar ; Stefan Kiefer ; James Worrell.

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata (without epsilon-transitions). We first show a general&nbsp;[&hellip;]

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Model Checking Flat Freeze LTL on One-Counter Automata

Antonia Lechner ; Richard Mayr ; Joël Ouaknine ; Amaury Pouly ; James Worrell.

Freeze LTL is a temporal logic with registers that is suitable for specifying properties of data words. In this paper we study the model checking problem for Freeze LTL on one-counter automata. This problem is known to be undecidable in general and PSPACE-complete for the special case of&nbsp;[&hellip;]

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On the Expressiveness and Monitoring of Metric Temporal Logic

Hsi-Ming Ho ; Joël Ouaknine ; James Worrell.

It is known that Metric Temporal Logic (MTL) is strictly less expressive than the Monadic First-Order Logic of Order and Metric (FO[<, +1]) when interpreted over timed words; this remains true even when the time domain is bounded a priori. In this work, we present an extension of MTL with the same&nbsp;[&hellip;]

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