Minimal Core Model

Minimal Core Model defines a minimal ontological structure for admissible truth, admissible coexistence of truths, admissible succession of truths, and trajectory-indexed ordering.

The model isolates a minimal structural substrate compatible with extensional state-based semantics while avoiding primitive assumptions regarding state identity, valuation structures, primitive temporal structure, and representation-dependent notions.

Configurations are identified directly with admissible sets of atomic truths.

Time is defined only as index of admissible succession along trajectories.

Minimal Core Model provides a canonical minimal kernel compatible with transition systems, Kripke structures, and trace-based temporal semantics while preserving ontological minimality.

The specification defines:

invariants as atomic admissible truths
configurations as admissible sets of invariants
admissible succession relation between configurations
trajectories as admissible sequences of configurations
time as trajectory index

The specification deliberately does not introduce primitives for objects, relations, dimensions, space, topology, geometry, metrics, coordinates, causality, determinism, continuity, or representation structures.

Minimal Core Model is intended as a foundational substrate for formal system specifications requiring minimal structural commitments.