ZKP Frontier Tracker 🎯零知识证明 前沿热点追踪 🎯ZKP 最前線追跡🎯
Sun星期日日曜日
09.06
2026
https://eprint.iacr.org/2026/1852
Singh proposes a Jacobian-based algebraic diagnostic to detect under-constrained ZK circuits, separating local rigidity, algebraic dependence, and field uniqueness.Singh在论文中提出基于精确Jacobian线性代数的诊断方法，用于检测ZK电路中欠约束问题，区分局部刚性、代数依赖和域上唯一性。Singhは論文で、ZK回路の過少拘束を検出するためにJacobian線形代数に基づく診断手法を提案し、局所剛性、代数的依存、体上での一意性を区別する。
NotesNotes要点
- Jacobian kernel method detects under-constraints and separates three notions
- At satisfying assignment, augmented Jacobian kernel is the Zariski tangent space of the fibre scheme
- Under separability, recovers component-wise algebraic dependence and multiplicity bounds
- Sparse exact implementation handles 6k-60k constraint gnark R1CS instances
- Limitation: witness locality may miss under-constraints on degenerate branches
- Positioned as a scalable detector to combine with adversarial witness generation and solver confirmation
Q&A Deep Dive 💬今日要点 深入解析 💬今日の要点 深掘り 💬
Sun星期日日曜日
09.06
2026
