CMP.14:10 - Architectural Rationale

Mathematical composition supplies an operation for combining descriptions. Computational composition must also establish how the resulting process runs and what other processes can observe. Interference makes a component’s admissible context part of its meaning.

The counter, retry and resource-order cases construct three different repairs: conditional atomic change, identity across repeated communication, and removal of cyclic acquisition. Their shared method is to expose the missing interaction, construct the coordinating steps and retain separate arguments for allowed histories and progress. Modeling a working Method with these operations can sharpen a methodological comparison, but the modeled operations still need a justified correspondence to the actual work.