{
  "phi_algorithms": {
    "heuristic_search": "O(n^3) where n is system size",
    "beam_search": "O(k * n^3) where k is beam width",
    "exhaustive_search": "O(2^(n^2)) exponential complexity"
  },
  "causal_power_analysis": {
    "pairwise_causal_power": "O(n^2 * m) where m is state space size",
    "perturbation_analysis": "O(p * n * m) where p is number of perturbations",
    "resilience_analysis": "O(p * i * m) where i is intensity levels"
  },
  "concept_structure_analysis": {
    "concept_generation": "O(2^n * 2^(2n)) exponential in system size",
    "clustering": "O(k^2) where k is number of concepts",
    "hierarchy_building": "O(k^2) for k concepts",
    "repertoire_computation": "O(m) where m is transition count"
  },
  "scalability_limits": {
    "practical_system_size": "4-5 elements for exhaustive analysis",
    "heuristic_methods": "Up to 8-10 elements",
    "approximate_methods": "Potentially larger systems with further optimization"
  },
  "memory_requirements": {
    "transition_matrix": "O(2^n * 2^n) for full TPM",
    "concept_storage": "O(k * n) where k is number of concepts",
    "partition_cache": "O(p * n) where p is partition count"
  }
}