Subsystemlogik

Subsystemlogik is a theoretical framework for formal reasoning about subsystems within a larger, composite system. It treats each subsystem as having its own logic, semantics, and inference rules, while providing mechanisms to reason about interactions and dependencies across subsystem interfaces.

Core ideas include local logics, interface theories, and translation or embedding functions that map inferences between subsystems. A global view is obtained by composing subsystem logics under compatibility constraints, enabling compositional verification and modular specification.

Formal foundations vary by domain but commonly rely on modal or dynamic logics, description logics, or process calculi, with category-theoretic or algebraic methods to model subsystem morphisms. Key concepts are local consequence relations, assume-guarantee reasoning, and interface-based composition.

Applications include software architecture and model-driven engineering, where Subsystemlogik supports scalable verification of properties, safety, and reliability across components; in AI and knowledge representation for combining domain ontologies; and in cyber-physical and distributed systems where subsystems must coordinate.

Criticism and development focus on ensuring soundness of composition, handling incomplete interfaces, and managing trade-offs between expressiveness and scalability.

See also: modular logic, assume-guarantee reasoning, interface theory, distributed systems.