diff --git a/crates/tui/src/commands/mod.rs b/crates/tui/src/commands/mod.rs
index 8a6ca997..d6b34d8f 100644
--- a/crates/tui/src/commands/mod.rs
+++ b/crates/tui/src/commands/mod.rs
@@ -316,7 +316,7 @@ pub const COMMANDS: &[CommandInfo] = &[
     CommandInfo {
         name: "rlm",
         aliases: &["recursive"],
-        description: "Recursive Language Model (RLM) — process a prompt via Algorithm 1 from Zhang et al. (arXiv:2512.24601). The prompt is stored in a REPL; the model writes code to process it.",
+        description: "Recursive Language Model (RLM) turn — store the prompt in a Python REPL and let the model write code to process it, with `llm_query()` / `sub_rlm()` for sub-LLM calls.",
         usage: "/rlm <prompt>",
     },
     // Debug/cost command
@@ -458,7 +458,7 @@ pub fn rlm(app: &mut App, arg: Option<&str>) -> CommandResult {
 
     CommandResult::with_message_and_action(
         format!(
-            "Starting RLM turn (Algorithm 1) for {} chars of prompt using {} (child={}, depth={})...",
+            "Starting RLM turn for {} chars of prompt using {} (child={}, depth={})...",
             prompt.len(),
             model,
             child_model,
diff --git a/crates/tui/src/core/engine.rs b/crates/tui/src/core/engine.rs
index 41e365d9..07df0c78 100644
--- a/crates/tui/src/core/engine.rs
+++ b/crates/tui/src/core/engine.rs
@@ -1685,7 +1685,7 @@ impl Engine {
 
         let _ = self
             .tx_event
-            .send(Event::status("RLM turn started (Algorithm 1)".to_string()))
+            .send(Event::status("RLM turn started".to_string()))
             .await;
 
         let result = run_rlm_turn(
diff --git a/crates/tui/src/rlm/turn.rs b/crates/tui/src/rlm/turn.rs
index c9f8276a..4ed98499 100644
--- a/crates/tui/src/rlm/turn.rs
+++ b/crates/tui/src/rlm/turn.rs
@@ -200,7 +200,7 @@ async fn run_rlm_turn_inner_impl(
 
     let _ = tx_event
         .send(Event::status(format!(
-            "RLM turn started (Algorithm 1) — root={model}, child={child_model}, max_depth={max_depth}"
+            "RLM turn started — root={model}, child={child_model}, max_depth={max_depth}"
         )))
         .await;
 
diff --git a/crates/tui/src/tui/ui.rs b/crates/tui/src/tui/ui.rs
index cb996181..c9546b2a 100644
--- a/crates/tui/src/tui/ui.rs
+++ b/crates/tui/src/tui/ui.rs
@@ -2343,7 +2343,7 @@ async fn apply_command_result(
                 child_model,
                 max_depth,
             } => {
-                app.status_message = Some("RLM turn starting (Algorithm 1)...".to_string());
+                app.status_message = Some("RLM turn starting...".to_string());
                 let _ = engine_handle
                     .send(Op::RlmQuery {
                         content: prompt,