Completeness of Cross-Blockchain Transactions: A Combinatorial-Algebraic-Topological Approach
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The cross-blockchain transaction (CBT) serves as a cornerstone for the next-generation, blockchain-based data management systems. However, state-of-the-art CBT models do not address the effect of the possible local fork suspension that might invalidate the entire CBT. This paper takes a combinatorial-topological approach to abstract the blockchains and their transactions into simplicial complexes and shows that CBTs cannot complete in either a committed or an aborted status by a t-resilient message-passing protocol alone. This result implies that a more sophisticated model is in need to support CBTs and, thus, sheds light on the future blockchain designs.
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