4 papers
Simplicial Belief
Christian Cachin, David Lehnherr, Thomas Studer
Recently, much work has been carried out to study simplicial interpretations of modal logic. While notions of (distributed) knowledge have been well investigated in this context, i…
Hypergraph Semantics for Doxastic Logics
Hans van Ditmarsch, Djanira Gomes, David Lehnherr +2
Simplicial models have become a crucial tool for studying distributed computing. These models, however, are only able to account for the knowledge, but not for the beliefs of agent…
Synergistic Knowledge
Christian Cachin, David Lehnherr, Thomas Studer
In formal epistemology, group knowledge is often modelled as the knowledge that the group would have, if the agents shared all their individual knowledge. However, this interpretat…
A logic of interactive proofs
David Lehnherr, Zoran Ognjanovic, Thomas Studer
We introduce the probabilistic two-agent justification logic IPJ, a logic in which we can reason about agents that perform interactive proofs. In order to study the growth rate of…