Abstract
Rohit Parikh has written on levels of knowledge (Parikh and Krasucki in Sadhana 17(1):167–191, 1992). Levels of knowledge are relevant for the analysis of gossip protocols. Gossip protocols describe the dissemination of information over a network. We present some examples of epistemic gossip protocols, wherein the agents or processes communicate with each other by peer-to-peer contact (telephone calls), as in the usal gossip protocols, but wherein the decision to contact another agent is based on the calling agent’s information only. This is, as far as we know, unusual in gossip protocols. In this we wish to honour Rohikh Parikh’s long career and many contributions to logic and computer science.
We thank a reviewer for insightful comments. Hans is also affiliated to IMSc, Chennai, as research associate, and he acknowledges support from ERC project EPS 313360.
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Notes
- 1.
We will later define a restricted logical language which justifies to use only that succinct representation, there is no need for the more complex representation.
- 2.
In other words, the meaning is the set of pointed gossip model sequences, where the points are the actual gossip states. Note that this is different from a set of gossip state sequences. Different pointed gossip model sequences may have the same induced gossip state sequence; i.e., if you just look at their points, they are the same.
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Attamah, M., van Ditmarsch, H., Grossi, D., van der Hoek, W. (2017). The Pleasure of Gossip. In: Başkent, C., Moss, L., Ramanujam, R. (eds) Rohit Parikh on Logic, Language and Society. Outstanding Contributions to Logic, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-319-47843-2_9
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