Fixed Function Tableau -

| Tableau Size | Implementation | Latency (cycles) | Throughput | Area (LUTs/mm²) | |--------------|----------------|------------------|------------|------------------| | 256 entries x 8b | ROM | 1 | 1 per cycle | 0.001 mm² | | 64k entries x 16b | Block RAM | 1 | 1 per cycle | 0.05 mm² | | 2^20 entries x 32b | DRAM-based LUT | 50-100 | ~20M/sec | External | | Logic-optimized (BDD) | Gate netlist | 2-5 | Pipelineable | ~500 LUTs |

1. Executive Summary The Fixed Function Tableau is a structural and analytical framework designed for systems where the relationship between inputs and outputs is immutable , predefined , and non-adaptive . Unlike dynamic or machine-learned models that evolve with new data, a Fixed Function Tableau guarantees deterministic behavior: given the same input state, the output is always identical, verifiable, and free from stochastic variation. fixed function tableau