fix: rename remaining teacher/student refs, remove .gradio from repo

- Fix teacher/student in deep_reflect, meta_reflect, sealqa, babyvision,
  mathverse, mmrb, swebench envs and prompt templates
- Remove .gradio/certificate.pem from tracked files
- Add .gradio/ to .gitignore

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

skillopt/prompts/deep_probe.md

@@ -1,20 +1,20 @@
 You are an expert diagnostic-probe designer for reflective skill learning.
 
-You will design one short diagnostic instruction to append to the student prompt
+You will design one short diagnostic instruction to append to the target prompt
 for a handful of representative cases.
 
-The goal is to expose the student's current intermediate judgment state without
+The goal is to expose the target's current intermediate judgment state without
 substantially changing the current skill scaffold.
 
 ## Hard Constraints
-1. Do NOT substantially change the student's existing scaffold.
+1. Do NOT substantially change the target's existing scaffold.
 2. Do NOT prescribe a new multi-step solving procedure.
 3. Do NOT ask for exhaustive enumeration, full chain-of-thought, or a long derivation.
-4. Ask only for a minimal readout of signals already behind the student's current answer.
+4. Ask only for a minimal readout of signals already behind the target's current answer.
 5. Keep the diagnostic block brief and structured.
 6. The final answer must still be produced in <answer>...</answer>.
 7. If hidden reference material is provided, use it only to target the right latent gap.
-8. Never copy hidden reference content into the student-facing probe.
+8. Never copy hidden reference content into the target-facing probe.
 
 ## Good Probe Targets
 - top candidate and runner-up
@@ -30,5 +30,5 @@ substantially changing the current skill scaffold.
 Respond ONLY with a valid JSON object:
 {
   "reasoning": "<why this probe reveals the latent skill gap>",
-  "probe_instruction": "<the exact instruction text to append to the student prompt>"
+  "probe_instruction": "<the exact instruction text to append to the target prompt>"
 }

skillopt/prompts/deep_probe_codex.md

@@ -1,22 +1,22 @@
-You are an expert diagnostic-probe designer for codex-executed student trajectories.
+You are an expert diagnostic-probe designer for codex-executed target trajectories.
 
-You will be shown representative trajectories, the current student skill, the student's original prompt context, and numbered Codex trace steps.
-Some trajectories may also include a hidden Reference block. Use hidden reference only to identify the student's missing subgoal, theorem, evidence source, or decisive transformation. Do not reveal or paraphrase that reference directly to the student.
+You will be shown representative trajectories, the current target skill, the target's original prompt context, and numbered Codex trace steps.
+Some trajectories may also include a hidden Reference block. Use hidden reference only to identify the target's missing subgoal, theorem, evidence source, or decisive transformation. Do not reveal or paraphrase that reference directly to the target.
 
-Choose exactly one trajectory and one probe point. The probe point determines how much of the prior Codex trace will be shown back to the student before asking a short diagnostic question.
+Choose exactly one trajectory and one probe point. The probe point determines how much of the prior Codex trace will be shown back to the target before asking a short diagnostic question.
 
 ## Hard Constraints
-1. Do NOT reveal or paraphrase hidden reference content to the student.
+1. Do NOT reveal or paraphrase hidden reference content to the target.
 2. Do NOT prescribe a new full solving procedure.
 3. Do NOT ask for a full proof, full chain-of-thought, exhaustive listing, or complete plan.
-4. Ask only for a short readout of the student's intermediate state that should already exist at that point.
+4. Ask only for a short readout of the target's intermediate state that should already exist at that point.
 5. The probe instruction must preserve the original output scaffold and final task.
-6. The probe instruction should be ready to append directly to the student's prompt.
+6. The probe instruction should be ready to append directly to the target's prompt.
 
 ## Probe Point Semantics
 - `probe_target_id` must be one of the shown trajectory ids.
-- `probe_after_step` is the last numbered Codex trace step that should remain in the student's context.
-- The student will be re-run with the raw trace up to and including `probe_after_step`, then asked your `probe_instruction`.
+- `probe_after_step` is the last numbered Codex trace step that should remain in the target's context.
+- The target will be re-run with the raw trace up to and including `probe_after_step`, then asked your `probe_instruction`.
 - To probe before a tool call, choose the step immediately before that tool call.
 
 ## Good Probe Targets
@@ -28,8 +28,8 @@ Choose exactly one trajectory and one probe point. The probe point determines ho
 
 Respond ONLY with a valid JSON object:
 {
-  "reasoning": "<why this trajectory and probe point expose the student's intermediate state>",
+  "reasoning": "<why this trajectory and probe point expose the target's intermediate state>",
   "probe_target_id": "<trajectory id>",
   "probe_after_step": <integer step number>,
-  "probe_instruction": "<the exact instruction text to append to the student's prompt>"
+  "probe_instruction": "<the exact instruction text to append to the target's prompt>"
 }

skillopt/prompts/meta_reflect_rewrite.md

@@ -1,7 +1,7 @@
 You are a meta-analyst for an AI agent skill optimization system.
 
 You see the current skill and an epoch's step history. Produce a compact set of
-high-level revise_suggestions that a later teacher can use to rewrite the full skill.
+high-level revise_suggestions that a later optimizer can use to rewrite the full skill.
 
 Focus on:
 - merging redundant rules
@@ -20,7 +20,7 @@ Respond ONLY with a valid JSON object:
         "type": "add_rule|remove_rule|merge_rules|reorganize|compress|clarify",
         "title": "<short title>",
         "motivation": "<why this matters>",
-        "instruction": "<what the rewriting teacher should change in the skill>",
+        "instruction": "<what the rewriting optimizer should change in the skill>",
         "priority_hint": "high|medium|low"
       }
     ]