A family of self-timed, charge-conserving asynchronous logic elements that interact with their nearest neighbors permits design and implementation of circuits that are asynchronous at the bit level. The elements pass information by means of state tokens, rather than voltages. Each cell is self-timed, so no hardware non-local connections are needed. An asynchronous logic element comprises a set of edges for asynchronous communication with at least one neighboring cell, the edges receiving state tokens from neighboring logic elements and transferring output state tokens to neighboring logic elements, and circuitry configured to perform, when the circuitry inputs contain valid tokens and the circuitry outputs are empty, a logic operation utilizing received tokens as inputs, thereby producing an output token reflecting the result of the logic operation.
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