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Browse files- README.md +3 -9
- app.py +275 -0
- requirements.txt +2 -0
README.md
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---
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title:
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emoji: 🐠
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colorFrom: purple
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colorTo: pink
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sdk: gradio
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sdk_version: 6.6.0
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app_file: app.py
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---
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Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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---
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title: Aristotle_Theorem_Prover
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app_file: app.py
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sdk: gradio
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sdk_version: 6.5.1
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---
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app.py
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#!/usr/bin/env python3
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"""
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Gradio UI for Aristotle theorem prover (informal mode).
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Provides a simple interface for non-programmers to submit
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mathematical problems and receive Lean 4 proofs.
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Launch:
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python aristotle_ui.py
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"""
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import asyncio
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import tempfile
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import time
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from pathlib import Path
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import gradio as gr
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from aristotlelib import api_request
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from aristotlelib.project import Project, ProjectInputType, ProjectStatus
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POLL_INTERVAL = 15 # seconds between status checks
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MAX_POLL_TIME = 1800 # 30 minutes max wait
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# ---------------------------------------------------------------------------
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# Core logic
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# ---------------------------------------------------------------------------
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def _set_key(api_key: str) -> bool:
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key = api_key.strip()
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if not key:
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return False
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api_request.set_api_key(key)
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return True
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def _run_async(coro):
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"""Run an async coroutine from synchronous Gradio callback."""
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loop = asyncio.new_event_loop()
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try:
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return loop.run_until_complete(coro)
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finally:
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loop.close()
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def submit_problem(api_key: str, problem_text: str):
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"""Generator: submit a problem and poll until done."""
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if not _set_key(api_key):
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yield "Enter your Aristotle API key above.", "", ""
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return
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problem_text = problem_text.strip()
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if not problem_text:
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yield "Enter a problem or proof statement.", "", ""
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return
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logs = []
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def log(msg):
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logs.append(msg)
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return "\n".join(logs)
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# Submit
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yield log("Submitting to Aristotle (informal mode)..."), "", ""
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try:
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project_id = _run_async(
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Project.prove_from_file(
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input_content=problem_text,
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project_input_type=ProjectInputType.INFORMAL,
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wait_for_completion=False,
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auto_add_imports=False,
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validate_lean_project=False,
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)
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)
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except Exception as e:
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yield log(f"Submission error: {e}"), "", ""
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return
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yield log(f"Submitted! Project ID: {project_id}"), "", project_id
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# Poll for completion
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elapsed = 0
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while elapsed < MAX_POLL_TIME:
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time.sleep(POLL_INTERVAL)
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elapsed += POLL_INTERVAL
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try:
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project = _run_async(Project.from_id(project_id))
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except Exception as e:
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yield log(f"[{elapsed}s] Poll error: {e} (will retry)"), "", project_id
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continue
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status = project.status
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pct = project.percent_complete
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pct_str = f" ({pct}%)" if pct is not None else ""
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yield log(f"[{elapsed}s] {status.value}{pct_str}"), "", project_id
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if status == ProjectStatus.COMPLETE:
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try:
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with tempfile.TemporaryDirectory() as td:
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out = Path(td) / "solution.lean"
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_run_async(project.get_solution(output_path=out))
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solution = out.read_text()
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yield log("Proof retrieved!"), solution, project_id
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except Exception as e:
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yield log(f"Error downloading solution: {e}"), "", project_id
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return
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if status == ProjectStatus.FAILED:
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yield log("Project FAILED. Aristotle could not find a proof."), "", project_id
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return
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yield log(f"Timed out after {MAX_POLL_TIME // 60} minutes. Use 'Check Project' with the ID above to check later."), "", project_id
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def check_project(api_key: str, project_id: str):
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"""Check status of a previously submitted project."""
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if not _set_key(api_key):
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return "Enter your API key.", ""
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project_id = project_id.strip()
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if not project_id:
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return "Enter a project ID.", ""
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+
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try:
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project = _run_async(Project.from_id(project_id))
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except Exception as e:
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return f"Error: {e}", ""
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info = f"Project: {project_id}\nStatus: {project.status.value}"
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if project.percent_complete is not None:
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info += f"\nProgress: {project.percent_complete}%"
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if project.file_name:
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info += f"\nFile: {project.file_name}"
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solution = ""
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if project.status == ProjectStatus.COMPLETE:
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try:
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with tempfile.TemporaryDirectory() as td:
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out = Path(td) / "solution.lean"
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_run_async(project.get_solution(output_path=out))
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solution = out.read_text()
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info += "\n\nSolution downloaded successfully."
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except Exception as e:
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info += f"\n\nError downloading solution: {e}"
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return info, solution
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def list_recent(api_key: str):
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"""List recent projects for this API key."""
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if not _set_key(api_key):
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return "Enter your API key."
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try:
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projects, _ = _run_async(Project.list_projects(limit=15))
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except Exception as e:
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return f"Error: {e}"
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if not projects:
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return "No projects found."
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lines = []
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for p in projects:
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pct = f" ({p.percent_complete}%)" if p.percent_complete is not None else ""
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desc = f" — {p.description[:60]}" if p.description else ""
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lines.append(f"{p.project_id[:12]}... {p.status.value:14s}{pct}{desc}")
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return "\n".join(lines)
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# ---------------------------------------------------------------------------
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# Build UI
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# ---------------------------------------------------------------------------
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EXAMPLES = [
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["Prove that the square root of 2 is irrational."],
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["Prove that for all natural numbers n, the sum 1 + 2 + ... + n equals n*(n+1)/2."],
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["Show that every continuous function on a closed bounded interval [a,b] is uniformly continuous."],
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["Prove that if p is prime and p divides a*b, then p divides a or p divides b."],
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]
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def build_app() -> gr.Blocks:
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with gr.Blocks(title="Aristotle Prover", theme=gr.themes.Soft()) as app:
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gr.Markdown(
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"# Aristotle Theorem Prover\n"
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"Submit a mathematical problem or proof in plain English. "
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"[Aristotle](https://harmonic.fun/) will formalize it in Lean 4 and attempt a proof.\n\n"
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"You need an Aristotle API key — get one at [harmonic.fun](https://harmonic.fun/)."
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)
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api_key = gr.Textbox(
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label="Aristotle API Key",
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type="password",
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placeholder="sk-...",
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)
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| 198 |
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with gr.Tab("Prove"):
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problem_input = gr.Textbox(
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label="Problem statement",
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lines=10,
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placeholder=(
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"State a theorem, lemma, or problem in plain English or LaTeX.\n\n"
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"Examples:\n"
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"- Prove that sqrt(2) is irrational.\n"
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"- Show that every bounded monotone sequence converges.\n"
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"- Prove: if G is a finite group of order p^n (p prime), then G has a nontrivial center."
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),
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)
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+
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gr.Examples(
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examples=EXAMPLES,
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inputs=[problem_input],
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label="Example problems",
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)
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| 216 |
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submit_btn = gr.Button("Submit to Aristotle", variant="primary")
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with gr.Row():
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with gr.Column():
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progress_log = gr.Textbox(
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label="Progress",
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lines=12,
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interactive=False,
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)
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with gr.Column():
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result_output = gr.Code(
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label="Lean 4 Proof",
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language=None,
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lines=20,
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)
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project_id_state = gr.Textbox(visible=False)
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submit_btn.click(
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fn=submit_problem,
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inputs=[api_key, problem_input],
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outputs=[progress_log, result_output, project_id_state],
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)
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| 240 |
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with gr.Tab("Check Project"):
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gr.Markdown(
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"Check on a previously submitted project by its ID, "
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"or list your recent projects."
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)
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with gr.Row():
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check_id = gr.Textbox(
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label="Project ID",
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placeholder="paste project ID here",
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scale=3,
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)
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check_btn = gr.Button("Check", variant="primary", scale=1)
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list_btn = gr.Button("List Recent", scale=1)
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| 255 |
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check_status = gr.Textbox(label="Status", lines=6, interactive=False)
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| 257 |
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check_solution = gr.Code(label="Lean 4 Proof", language=None, lines=20)
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check_btn.click(
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fn=check_project,
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inputs=[api_key, check_id],
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outputs=[check_status, check_solution],
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)
|
| 264 |
+
list_btn.click(
|
| 265 |
+
fn=list_recent,
|
| 266 |
+
inputs=[api_key],
|
| 267 |
+
outputs=[check_status],
|
| 268 |
+
)
|
| 269 |
+
|
| 270 |
+
return app
|
| 271 |
+
|
| 272 |
+
|
| 273 |
+
if __name__ == "__main__":
|
| 274 |
+
app = build_app()
|
| 275 |
+
app.launch()
|
requirements.txt
ADDED
|
@@ -0,0 +1,2 @@
|
|
|
|
|
|
|
|
|
|
| 1 |
+
aristotlelib
|
| 2 |
+
gradio
|