The Chain of Antichains -- Box Protocol: the Dual-Blockchain and a Stablecoin
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In this paper we present our new way of thinking: the dual-blockchain algorithm. Our primal space is a directed acyclic graph (DAG). Using the dual-blockchain algorithm a chain of antichains is constructed in real time on another layer, which has a one-to-one correspondence with transactions on a DAG. This chain of antichains has the same structure of blockchain. Using such dual-layer framework, we take desirable aspects from both blockchain and a DAG-based distributed network systems. We consequently came up with a powerful consensus protocol which makes the final confirmation feasible with great efficiency. Our dual approach comes with two distinct cryptocurrencies: Box Dollar (BXD) and Box Coin (BXC). Our stablecoin Box Dollar (BXD) is tied up with a robust fiat currency, anticipating the use as a medium-of-exchange as well as a reliable store-of-value. Another cryptocurrency, called Box Coin (BXC), is a crucial component to keep up our purely distributed peer-to-peer network, with capability to run our unique incentive system at its core. In this paper we present both deterministic and stochastic aspects of the dual-blockchain. Illustrative and numerical examples are also presented. Our new algorithms were discovered by the use of discrete mathematics as well as probability models. This paper is focused on the mathematical and analytical foundations of a new digital ecosystem, the dual-blockchain of Box protocol.
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