Ontological Layer: Physical System Integrity
Timing & Reliability
Hazards, Skew, and the Physics of Failure
The Consequences of Reality
In pure mathematics, Boolean logic updates instantly. In physical silicon, signals take time to travel. When paths have unequal delays, circuits generate temporary, dangerous glitches known as Hazards. When clock signals arrive out of sync, or when asynchronous data violates setup and hold times, flip-flops become Metastable. This realm demands that a circuit not only be logically correct, but physically robust against time, temperature, and hardware faults.
The 16 Integrity Nodes
Ontological Mapping: From Glitch to Guarantee
Reliability Fundamentals
- Correct logic operation
- Correct timing execution
- Signal integrity preservation
- Fault-free operation mapping
Static Hazards
- Hazard concept & definition
- Unequal propagation delays
- Static-1 hazard (Brief 0 drop)
- Static-0 hazard (Brief 1 spike)
Dynamic Hazards
- Multiple unintended transitions
- Multi-level logic propagation
- Narrow unwanted pulses (Glitches)
- Timing-dependent logic errors
Hazard Elimination
- K-map hazard analysis
- Redundant consensus terms
- Hazard-free Boolean realization
- Minimum vs Safe Logic trade-off
Clock Skew
- Clock arrival difference
- Physical distribution delays
- Positive vs Negative skew
- Impact on valid timing windows
Metastability & Sync
- Sampling asynchronous inputs
- Setup/hold violation consequences
- Metastable unresolvable states
- 2-FF Synchronizer chains
Timing Constraints
- T_min ≥ t_cq + t_logic + t_su
- Maximum operating frequency
- Critical path determination
- Setup and Hold margins
Fault Fundamentals
- Fault vs Failure distinction
- Single-point fault assumption
- Stuck-at-0 (SA0) models
- Stuck-at-1 (SA1) models
Fault Testing
- Test input pattern generation
- Circuit Under Test (CUT)
- Expected vs Actual output
- Observability & Controllability
Robust Design
- Systematic hazard reduction
- Rigorous clock synchronization
- Building timing margins
- Fault tolerance strategies
16 — Timing & Verification Laboratory
A circuit that works mathematically may fail physically. By mastering the mitigation of propagation delays, race conditions, and manufacturing defects, you transition from theoretical logic to physical hardware engineering. This prepares us for the absolute final stage: Realm 23.