Update app.py

app.py

@@ -151,7 +151,7 @@ def rule_based_explanation(parsed: Parsed, info: dict):
             ]
     else:
         lines.append("• No independence assumption detected; standard conditional rule applied.")
-    return "\\n".join(lines)
+    return "\n".join(lines)
 
 def llm_explain(prompt):
     if llm is None:
@@ -171,7 +171,7 @@ def run(problem_text, user_reasoning):
     graph_img = make_graph_image(parsed, info)
     rb_text = rule_based_explanation(parsed, info)
     llm_out = llm_explain(
-        f"Explain the mistake and minimal fix clearly:\\nProblem: {problem_text}\\nUser reasoning: {user_reasoning}\\n"
+        f"Explain the mistake and minimal fix clearly:\nProblem: {problem_text}\nUser reasoning: {user_reasoning}\n"
         f"Key facts: P(A)={parsed.pA}, P(B)={parsed.pB}, P(A∩B)={parsed.pAintB}.\\n"
         f"Computed P(A|B)={info['p_cond']}. Independence claimed: {info['independence_claimed']}. "
         f"Independence holds: {info['independence_holds']}.\\n"
@@ -184,11 +184,11 @@ def run(problem_text, user_reasoning):
         "Independence holds": info["independence_holds"],
         "P(A|B)": f"{info['p_cond']:.4f}" if info["p_cond"] is not None else "undefined",
     }
-    stat_str = "\\n".join([f"{k}: {v}" for k,v in status.items()])
+    stat_str = "\n".join([f"{k}: {v}" for k,v in status.items()])
     return graph_img, final_text, stat_str
 
 with gr.Blocks(theme=gr.themes.Soft(primary_hue='indigo')) as demo:
-    gr.Markdown("## Aicher (MVP) — Visual Causal Tutor\\n"
+    gr.Markdown("## Aicher (MVP) — Visual Causal Tutor\n"
                 "Enter a conditional-probability problem (or use the example). "
                 "Optionally type your own reasoning to test independence errors.")