Rocq Simulate Author

Use this skill when asked to create or complete files under /simulate//*.v.

Goals

• Add a simulate Definition that mirrors the links/run behavior at the right abstraction level.
• Add the matching eq lemma connecting run* and the simulate definition.
• Keep the file compiling with project flags.

Repository Conventions

• Compile with:

coqc -R . RocqOfRust -impredicative-set path/to/file.v

• Prefer explicit imports; do not assume aggregator modules exist.
• In this repo, many _eq lemmas are intentionally Admitted during iteration.
• Use id instead of (fun interpreter => interpreter).
• Prefer record notation when clearer (for example Range records).

Procedure

1. Locate links source and nearby simulate examples.

• Read corresponding links file (.../links/...) to extract run_* signature and parameter order.
• Read one neighboring simulate file in same folder for style.

1. Build imports explicitly.

• Require Import simulate.RocqOfRust. first.
• Add links/simulate imports used by the definition.
• Add missing imports only when compile errors require them.

1. Write the simulate definition.

• Keep shape close to Rust intent and existing sibling files.
• Use existing macros (gasmacro, pushmacro, etc.) consistently.
• Avoid overfitting proofs in the definition.

1. Write _eq lemma.

• Match argument order of run_* exactly.
• Prefer class-level Run assumptions in Eq-style files.
• If proof is not ready, keep Admitted unless user asked no admitted.

1. Compile and iterate.

• Compile touched file first.
• Fix minimal issues (imports, type annotations, argument order).

Starter Skeleton

Require Import simulate.RocqOfRust.
(* other explicit imports *)

Definition <name>
    {A ... : Set} `{Link ...}
    ...
    (x : ...) : ... :=
  ... .

Lemma <name>_eq
    {A ... : Set} `{Link ...}
    ...
    (x : ...) :
  ...
.
Proof.
Admitted.

Common Failure Fixes

• module-not-found: add explicit Require Import ... for split per-function links/simulate files.
• Type mismatch in run_*: compare with links instance signature and reorder args.
• Numeric inference to Z: use typed literals like (0 : usize).
• Missing class projections in Eq files: add appropriate class-level *.Run assumption.