Fair Math Actors

The execution layer of Fair Math relies on actors, which are responsible for executing tasks. When an application runs, it is broken down into a set of independent tasks $(T_1, T_2, \dots, T_n)$ . Each task $T_i$ is assigned to an actor $A_{m,i}$ for execution.

Blockchain-Level Task Monitoring

At the blockchain level:

• Tasks are not continuously tracked.

• Completion is verified only when deadlines expire.

• If a task is incomplete by its deadline, the orchestration layer:

  • Reassigns the task.

  • Penalizes the responsible execution pair.

This approach reduces computational overhead and improves scalability.