Research-Stack/6-Documentation/docs/formal_verification/coq_test.v
Brandon Schneider 0cf775c80e collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution
- Prover-Integrated Orchestration Layers (L0-L3): Goedel-Prover-V2 watchdog, BFS-Prover-V2 swarm consensus, bf4prover topology adaptation
- FAMM Verilator benchmark: uniform vs preshaped delay comparison (4.4x speedup)
- Swarm topological device prober: 11 agents probing traces, caps, delays, errors, vias, PDN
- Spec sheet puller: 10 components with key params and topological relevance
- Virtual FPGA system tests: 6/6 passed, 134K ops/s throughput
- Fixed merge conflicts in AI-Newton test_experiment.ipynb
2026-05-06 23:42:01 -05:00

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Coq

(* Coq Foundational Test - Minimal *)
(* Basic inductive types and simple proofs *)
Inductive nat : Set :=
| O : nat
| S : nat -> nat.
(* Simple reflexivity test *)
Theorem nat_refl : forall n : nat, n = n.
Proof.
intros n. reflexivity.
Qed.
(* Simple destruct test *)
Theorem O_or_S : forall n : nat, n = O \/ exists m : nat, n = S m.
Proof.
intros n. destruct n.
- left. reflexivity.
- right. exists n. reflexivity.
Qed.
Print nat_refl.
Print O_or_S.