A family of reconfigurable asynchronous logic elements that interact with their nearest neighbors permits reconfigurable implementation of circuits that are asynchronous at the bit level, rather than at the level of functional blocks. These elements pass information by means of tokens. Each cell is self-timed, and cells that are configured as interconnect perform at propagation delay speeds, so no hardware non-local connections are needed. A reconfigurable asynchronous logic element comprises a set of edges for communication with at least one neighboring cell, each edge having an input for receiving tokens from neighboring cells and an output for transferring tokens to at least one neighboring cell, circuitry configured to perform a logic operation utilizing received tokens as inputs and to produce an output token reflecting the result of the logic operation, and circuitry. A reconfigurable lattice of asynchronous logic automata comprises a plurality of reconfigurable logic automata that compute by locally passing state tokens and are reconfigured by the directed shifting of programming instructions through neighboring logic elements.