منابع مشابه
On the Expressiveness of TPTL and MTL
TPTL and MTL are two classical timed extensions of LTL. In this paper, we positively answer a 15-year-old conjecture that TPTL is strictly more expressive than MTL. But we show that, surprisingly, the TPTL formula proposed in [4] for witnessing this conjecture can be expressed in MTL. More generally, we show that TPTL formulae using only the F modality can be translated into MTL.
متن کاملOn the Expressiveness of TPTL and MTL over \omega-Data Words
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 Ehrenfeucht-Fraı̈ssé...
متن کاملOn the Expressiveness of TPTL and MTL over ω-Data Words
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 Ehrenfeucht-Fraı̈ssé...
متن کاملPath Checking for MTL and TPTL over Data Words
Precise complexity results are derived for the model checking problems for MTL (metric temporal logic) and TPTL (timed propositional temporal logic) on (in)finite data words and deterministic one-counter machines. Depending on the number of register variables and the encoding of numbers in constraints (unary or binary), the complexity is either P-complete or PSPACE-complete.
متن کاملSatisfiability for MTL and TPTL over Non-monotonic Data Words
In the context of real-time systems, Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent and widely used extensions of Linear Temporal Logic. In this paper, we examine the possibility of using MTL and TPTL to specify properties about classes of non-monotonic data languages over the natural numbers. Words in this class may model the behaviour of, e.g., one-cou...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 2010
ISSN: 0890-5401
DOI: 10.1016/j.ic.2009.10.004