Operads for complex system design specification, analysis and synthesis

TL;DR

This paper proposes using operads as a formal framework to improve the specification, analysis, and synthesis of complex, heterogeneous systems, enabling modular design and semantic reasoning.

Contribution

It introduces operads as a novel knowledge representation for complex system design, supporting decomposition, reassembly, and semantic-guided synthesis.

Findings

Operads effectively model complex system structures.

Semantic reasoning guides correct design synthesis.

Framework addresses scalability challenges.

Abstract

As the complexity and heterogeneity of a system grows, the challenge of specifying, documenting and synthesizing correct, machine-readable designs increases dramatically. Separation of the system into manageable parts is needed to support analysis at various levels of granularity so that the system is maintainable and adaptable over its life cycle. In this paper, we argue that operads provide an effective knowledge representation to address these challenges. Formal documentation of a syntactically correct design is built up during design synthesis, guided by semantic reasoning about design effectiveness. Throughout, the ability to decompose the system into parts and reconstitute the whole is maintained. We describe recent progress in effective modeling under this paradigm and directions for future work to systematically address scalability challenges for complex system design.