Constructive Algorithmic-Analytic Seonggil Combinatorics (CAASC): Subsuming Combinatorial Explosions via ROA Tensor Navigation and V-Engine Computability

Classical Combinatorics suffers from inherent computational intractability (NP/#P-hardness), non-constructive probabilistic proofs, and the absence of exact enumerative formulas for large-scale structures. This paper establishes Constructive Algorithmic-Analytic Seonggil Combinatorics (CAASC), a unified framework that physically bounds combinatorial explosions within the 6 × 6 × 6 fractal tensor architecture of SMT. By replacing non-constructive existence with Heyting-validated (ĥ) Alpha Resonance (φ) pathways, and subsuming graphons into the Seonggil Critical Horizon, we transform theoretical combinatorics into an explicit algorithmic navigation system. This operational mechanics engine directly empowers large-scale discrete optimizations, including 617-digit RSA cryptanalysis and the absolute bounding of Cramér's Conjecture via the V85/V87 CUDA frameworks.