# On the Expressiveness of TPTL and MTL over ω-Data Words

@inproceedings{Carapelle2014OnTE, title={On the Expressiveness of TPTL and MTL over $\omega$-Data Words}, author={Claudia Carapelle and Shiguang Feng and Oliver Fern{\'a}ndez Gil and Karin Quaas}, year={2014} }

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent extensions of Linear Temporal Logic to specify properties about data languages. In this paper, we consider the class of data languages of non-monotonic data words over the natural numbers. We prove that, in this setting, TPTL is strictly more expressive than MTL. To this end, we introduce

## 3 Citations

### Path Checking for MTL and TPTL over Data Words

- Computer ScienceLog. Methods Comput. Sci.
- 2017

The results yield the precise complexity of model checking deterministic one-counter machines against formulae of MTL and TPTL and prove that the path-checking problem for MTL is P-complete, whereas the Path checking problem for T PTL is PSPACE-complete.

### The expressive power, satisfiability and path checking problems of MTL and TPTL over non-monotonic data words

- Mathematics
- 2016

The expressive power, satisfiability problems and path checking problems for MLT and TPTL over all data words are studied, and Ehrenfeucht-Fraisse games for MTL and T PTL are introduced.

### A Weighted MSO Logic with Storage Behaviour and Its Büchi-Elgot-Trakhtenbrot Theorem

- MathematicsLATA
- 2016

A weighted MSO-logic in which one outermost existential quantification over behaviours of a storage type is allowed is introduced and it is proved that this logic is expressively equivalent to weighted automata with storage.

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