Abstract
Population protocols (Angluin et al., PODC, 2004) are a formal model of sensor networks consisting of identical mobile devices. Two devices can interact and thereby change their states. Computations are infinite sequences of interactions satisfying a strong fairness constraint.
A population protocol is wellspecified if for every initial configuration C of devices, and every computation starting at C, all devices eventually agree on a consensus value depending only on C. If a protocol is wellspecified, then it is said to compute the predicate that assigns to each initial configuration its consensus value.
In a previous paper we have shown that the problem whether a given protocol is wellspecified and the problem whether it computes a given predicate are decidable. However, in the same paper we prove that both problems are at least as hard as the reachability problem for Petri nets. Since all known algorithms for Petri net reachability have nonprimitive recursive complexity, in this paper we restrict attention to immediate observation (IO) population protocols, a class introduced and studied in (Angluin et al., PODC, 2006). We show that both problems are solvable in exponential space for IO protocols. This is the first syntactically defined, interesting class of protocols for which an algorithm not requiring Petri net reachability is found.
BibTeX  Entry
@InProceedings{esparza_et_al:LIPIcs:2018:9569,
author = {Javier Esparza and Pierre Ganty and Rupak Majumdar and Chana WeilKennedy},
title = {{Verification of Immediate Observation Population Protocols}},
booktitle = {29th International Conference on Concurrency Theory (CONCUR 2018)},
pages = {31:131:16},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {9783959770873},
ISSN = {18688969},
year = {2018},
volume = {118},
editor = {Sven Schewe and Lijun Zhang},
publisher = {Schloss DagstuhlLeibnizZentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2018/9569},
URN = {urn:nbn:de:0030drops95695},
doi = {10.4230/LIPIcs.CONCUR.2018.31},
annote = {Keywords: Population protocols, Immediate Observation, Parametrized verification}
}
Keywords: 

Population protocols, Immediate Observation, Parametrized verification 
Collection: 

29th International Conference on Concurrency Theory (CONCUR 2018) 
Issue Date: 

2018 
Date of publication: 

31.08.2018 