I consider how complex logical operations might self-assemble in a signalling-game context via composition of simpler underlying dispositions. On the one hand, agents may take advantage of pre-evolved dispositions; on the other hand, they may co-evolve dispositions as they simultaneously learn to combine them to display more complex behaviour. In either case, the evolution of complex logical operations can be more efficient than evolving such capacities from scratch. Showing how complex phenomena like these might evolve provides an additional path to the possibility of evolving more or less rich notions of compositionality. This helps provide another facet of the evolutionary story of how sufficiently rich, human-level cognitive or linguistic capacities may arise from simpler precursors.

1.  Signalling and Self-assembly

2.  Simple Unary Logic Games

3.  Composing Unary Functions for Binary Inputs

3.1.  Utilizing pre-evolved dispositions

3.2.  Co-evolving logical dispositions

3.3.  Learning appropriate outputs

3.4.  Taking account of the full state-space of unary games

3.5.  Role-free composition

4.  Discussion

4.1.  Efficacy and efficiency of learning complex dispositions

4.2.  Other binary operations

4.3.  To infinity and beyond