A multi-party contract signing (MPCS) protocol is used for a group of signers to sign a digital contract over a network. We analyse the protocols of Mukhamedov and Ryan (MR), and of Mauw, Radomirović and Torabi Dashti (MRT), using the finite-state model checker Mocha. Mocha allows for the specification of properties in alternating-time temporal logic (ATL) with game semantics, and the model checking problem for ATL requires the computation of winning strategies. This gives us an intuitive interpretation of the verification problem of crucial properties of MPCS protocols. We analyse the MR protocol with up to 5 signers and our analysis does not reveal any flaws. MRT protocols can be generated from minimal message sequences, depending on the number of signers. We discover an attack in a published MRT protocol with 3 signers, and present a solution for it. We also design a number of MRT protocols using minimal message sequences for 3 and 4 signers, all of which have been model checked in Mocha.
We followed the approach of Chadha, Kremer and Scedrov to use Mocha to model check the MR protocol with up to five signers and both fairness and timeliness properties were successfully checked REF .