Building Complete Conditional Chain Diagrams
Advanced Logic Games conditional chains require systematic diagramming to avoid missing downstream inferences. The protocol: (1) Symbolize every rule as a conditional (A → B) and immediately write its contrapositive (not-B → not-A). (2) Chain: if A → B and B → C, then the combined rule is A → B → C, which also gives the contrapositive chain not-C → not-B → not-A. (3) Identify all trigger points — elements that, when placed In, set off the most downstream consequences. In an advanced in/out game with 8 elements and 6 conditional rules, you may find that selecting element A forces B (rule 1), B forces C (rule 3), C forces not-D (rule 5), and not-D forces E (rule 6's contrapositive). A single selection of A determines the status of four other elements. These super-constraints must be identified at setup, not discovered mid-question. (4) Build a 'consequence table': for each element, list what selecting it (In) forces and what excluding it (Out) forces. This table becomes your primary reference for the entire game and eliminates re-reading rules. At the 170+ level, games are designed so that examinees who do not build complete chains at setup will be forced to re-derive them for every question — a devastating time loss. The setup investment of 3-4 minutes pays dividends of 30-60 seconds per question across 5-7 questions.