Faymonville, Peter and Zimmermann, Martin 
ORCID: 0000-0002-8038-2453
(2014)
Parametric Linear Dynamic Logic.
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Abstract
We introduce Parametric Linear Dynamic Logic (PLDL), which extends Linear Dynamic Logic (LDL) by temporal operators equipped with parameters that bound their scope. LDL was proposed as an extension of Linear Temporal Logic (LTL) that is able to express all ω-regular specifications while still maintaining many of LTL's desirable properties like an intuitive syntax and a translation into non-deterministic Büchi automata of exponential size. But LDL lacks capabilities to express timing constraints. By adding parameterized operators to LDL, we obtain a logic that is able to express all ω-regular properties and that subsumes parameterized extensions of LTL like Parametric LTL and PROMPT-LTL. Our main technical contribution is a translation of PLDL formulas into non-deterministic Büchi word automata of exponential size via alternating automata. This yields a PSPACE model checking algorithm and a realizability algorithm with doubly-exponential running time. Furthermore, we give tight upper and lower bounds on optimal parameter values for both problems. These results show that PLDL model checking and realizability are not harder than LTL model checking and realizability.
| Item Type: | Conference or Workshop Item (Unspecified) |
|---|---|
| Depositing User: | Symplectic Admin |
| Date Deposited: | 15 Jul 2019 12:55 |
| Last Modified: | 19 Jan 2023 00:37 |
| DOI: | 10.4204/eptcs.161.8 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3049690 |
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