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Guarded Equivalence Predicates for Scalable Formal Hardwa...
[Submitted on 20 Jun 2026] · 2026-06-23 · via cs.CR updates on arXiv.org

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Abstract:Formal hardware information-flow verification is a principled way to rule out secret-dependent functional or timing observations, but scaling such proofs remains difficult. Self-composition reduces information-flow verification to safety checking over two circuit copies, creating relational proof obligations that are hard for a generic PDR engine to discover from bit-level logic alone. Recent PDR-based techniques exploit this duplicated structure through copy symmetry and global cross-copy equivalence predicates. These predicates are effective when corresponding internal signals agree throughout the reachable state space, but they do not capture equalities that are relevant only in a specific control context. We observe that such contextual relations arise naturally in hardware IFV proofs: an internal signal pair may need to agree only within a control phase, transaction window, loop state, or protocol region. We introduce guarded equivalence predicates to expose these relations to PDR. Rather than treating a proposed contextual equality as an assumption, the verifier submits the corresponding mismatch condition as an auxiliary blocking obligation. Guards are proposed from relational counterexamples-to-induction using CTI-local extraction and state-split search; only candidates proved unreachable by the backend affect the proof. Across 12 IFV benchmarks and two PDR backends, guarded predicates convert two contextual baseline timeouts into completed proofs within 34.2--89.5s under an 1800s limit, while reducing proof time by up to 10.8x on additional benchmarks.

Submission history

From: Liangtao Dai [view email]
[v1] Sat, 20 Jun 2026 14:25:13 UTC (4,486 KB)