IST Austria Technical Report
We consider the distributed synthesis problem fortemporal logic specifications. Traditionally, the problem has been studied for LTL, and the previous results show that the problem is decidable iff there is no information fork in the architecture. We consider the problem for fragments of LTLand our main results are as follows: (1) We show that the problem is undecidable for architectures with information forks even for the fragment of LTL with temporal operators restricted to next and eventually. (2) For specifications restricted to globally along with non-nested next operators, we establish decidability (in EXPSPACE) for star architectures where the processes receive disjoint inputs, whereas we establish undecidability for architectures containing an information fork-meet structure. (3)Finally, we consider LTL without the next operator, and establish decidability (NEXPTIME-complete) for all architectures for a fragment that consists of a set of safety assumptions, and a set of guarantees where each guarantee is a safety, reachability, or liveness condition.
Chatterjee K, Henzinger TA, Otop J, Pavlogiannis A. Distributed Synthesis for LTL Fragments. IST Austria; 2013. doi:10.15479/AT:IST-2013-130-v1-1
Chatterjee, K., Henzinger, T. A., Otop, J., & Pavlogiannis, A. (2013). Distributed synthesis for LTL Fragments. IST Austria. https://doi.org/10.15479/AT:IST-2013-130-v1-1
Chatterjee, Krishnendu, Thomas A Henzinger, Jan Otop, and Andreas Pavlogiannis. Distributed Synthesis for LTL Fragments. IST Austria, 2013. https://doi.org/10.15479/AT:IST-2013-130-v1-1.
K. Chatterjee, T. A. Henzinger, J. Otop, and A. Pavlogiannis, Distributed synthesis for LTL Fragments. IST Austria, 2013.
Chatterjee K, Henzinger TA, Otop J, Pavlogiannis A. 2013. Distributed synthesis for LTL Fragments, IST Austria, 11p.
Chatterjee, Krishnendu, et al. Distributed Synthesis for LTL Fragments. IST Austria, 2013, doi:10.15479/AT:IST-2013-130-v1-1.
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