Two-Robot Computational Power Landscape Fully Characterized
Analysis
This paper provides a complete characterization of the computational power of two autonomous robots, a significant contribution because the two-robot case has remained unresolved despite extensive research on the general n-robot landscape. The results reveal a landscape that fundamentally differs from the general case, offering new insights into the limitations and capabilities of minimal robot systems. The novel simulation-free method used to derive the results is also noteworthy, providing a unified and constructive view of the two-robot hierarchy.
Key Takeaways
- •Provides the first complete characterization of the computational power of two autonomous robots.
- •Reveals a landscape that fundamentally differs from the general n-robot case.
- •Demonstrates that perfect synchrony can substitute both memory and communication in two-robot systems.
- •Establishes the orthogonality of FSTA and FCOM.
- •Uses a novel simulation-free method for deriving results.
“The paper proves that FSTA^F and LUMI^F coincide under full synchrony, a surprising collapse indicating that perfect synchrony can substitute both memory and communication when only two robots exist.”