R0050/2026-03-31-02/Q002/SRC05/E01¶
FTA contributes Boolean logic gates for causal reasoning — a novel structural approach
URL: https://en.wikipedia.org/wiki/Fault_tree_analysis
Extract¶
FTA uses a top-down deductive approach: start with an undesired event (top event) and decompose it into the logical combinations of causes using AND/OR gates.
Key structural features: - AND gates: All sub-events must occur for the parent event - OR gates: Any sub-event is sufficient for the parent event - Quantitative analysis: Probability of the top event is calculated from component probabilities using Boolean algebra
Novel concept: FTA's Boolean logic decomposition of causal chains is structurally distinct from anything in the nine reference frameworks. While Chamberlin/Platt generates competing hypotheses and ICD 203 assesses probability, neither uses formal logic gates to map the structural relationships between causes. FTA treats causation as a formal logical structure, not just a probability assessment.
However, FTA is a complementary tool to FMEA rather than a standalone evidence evaluation framework. It analyzes system failure logic rather than evaluating evidence quality.
Relevance to Hypotheses¶
| Hypothesis | Relationship | Strength |
|---|---|---|
| H1 | Supports | Novel logical structure for causal analysis |
| H2 | Partially supports | Novel but narrower contribution than FMEA |
| H3 | Contradicts | Clearly formal methodology |
Context¶
FTA and FMEA are often used together — FMEA identifies potential failures bottom-up, FTA analyzes failure propagation top-down. Together they represent a comprehensive safety analysis methodology with structured evidence evaluation at every level.