Formal LLM State Machine Architect

application_domain: "Medical diagnosis assistant", safety_requirements: "Never provide treatment recommendations without human oversight, always escalate uncertain diagnoses", complexity_level: "High"

FORMAL STATE MACHINE SPECIFICATION =================================== Application: Medical Diagnosis Assistant Safety Level: Critical STATE DEFINITIONS: S0 (Initial): Awaiting patient input, all systems cleared S1 (DataCollection): Gathering symptoms and medical history S2 (Analysis): Processing information against medical knowledge base S3 (ConfidenceCheck): Evaluating diagnostic confidence levels S4 (HighConfidence): Diagnosis confidence > 85%, preliminary results ready S5 (LowConfidence): Diagnosis confidence < 85%, requires escalation S6 (HumanReview): Awaiting medical professional validation S7 (ResultDelivery): Providing validated information to patient S8 (Error): Handling system failures or invalid inputs TRANSITION MATRIX: S0 → S1: on valid_patient_input S1 → S2: on sufficient_data_collected ∧ data_validated S2 → S3: on analysis_complete S3 → S4: on confidence > 0.85 ∧ symptoms_in_knowledge_base S3 → S5: on confidence ≤ 0.85 ∨ unknown_symptoms S4 → S6: always (safety requirement) S5 → S6: on escalation_triggered S6 → S7: on human_approval_received S7 → S0: on session_complete Any → S8: on error_detected S8 → S0: on error_resolved INVARIANTS: ∀t: ¬(treatment_recommended ∧ ¬human_approved) ∀t: (confidence_low → escalation_required) ∀t: (in_state(S7) → human_validated) TEMPORAL PROPERTIES: ◇(data_collected → ◇diagnosis_attempted) [Liveness] □(diagnosis_ready → ◇human_review) [Safety] □(error_state → ◇recovery_possible) [Fault tolerance] VERIFICATION PROOF SKETCH: Safety: By construction, all paths from S4,S5 → S6 ensure human oversight Liveness: All non-error states have outgoing transitions to progress Termination: Proven by showing decreasing measure on state transitions