app.py

import spaces
import re 
import gradio as gr
from transformers import AutoTokenizer, AutoModelForCausalLM, GenerationConfig
import torch
import json

LEAN4_DEFAULT_HEADER = "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology Rat\n\n"

title = """# 🙋🏻‍♂️Welcome to🌟Tonic's🔮Goedel Prover📉
You can build with this endpoint using🔮Goedel-Prover-SFT📉 available here : [Goedel-LM/Goedel-Prover-SFT](https://huggingface.co/Goedel-LM/Goedel-Prover-SFT)."""

def format_prompt(formal_statement, informal_prefix=""):
    """Format the input according to the Lean4 structure"""
    return f"Complete the following Lean 4 code with explanatory comments preceding each line of code:\n\n```lean4\n{LEAN4_DEFAULT_HEADER}{informal_prefix}{formal_statement}"

def extract_code(response):
    """Extract code between lean4 code blocks and the model's output"""
    try:
        # Extract the model's theorem and proof
        output_match = re.search(r'theorem.*?end\s*```', response, re.DOTALL)
        if output_match:
            model_output = output_match.group(0)
        else:
            model_output = ""
        
        # Extract the initial code setup
        setup_match = re.search(r'```lean4\n(.*?)============================', response, re.DOTALL)
        if setup_match:
            setup_code = setup_match.group(1)
        else:
            return "None"
            
        # Extract the goal
        goal_match = re.search(r'============================\n\s*(.*?)(?:theorem|$)', response, re.DOTALL)
        if goal_match:
            goal = goal_match.group(1).strip()
        else:
            goal = ""
            
        # Combine all parts
        full_code = (
            f"{setup_code.strip()}\n"
            f"============================\n"
            f"{goal}\n\n"
            f"{model_output.strip()}"
        )
        
        return full_code
    except:
        return "None"

# Example problems
unimath1 = """Goal:
  X : UU
  Y : UU
  P : UU
  xp : (X → P) → P
  yp : (Y → P) → P
  X0 : X × Y → P
  x : X
  ============================
   (Y → P)"""

unimath2 = """Goal:
    R : ring  M : module R
  ============================
   (islinear (idfun M))"""

unimath3 = """Goal:
    X : UU  i : nat  b : hProptoType (i < S i)  x : Vector X (S i)  r : i = i
  ============================
   (pr1 lastelement = pr1 (i,, b))"""

unimath4 = """Goal:
    X : dcpo  CX : continuous_dcpo_struct X  x : pr1hSet X  y : pr1hSet X
  ============================
   (x ⊑ y ≃ (∀ i : approximating_family CX x, approximating_family CX x i ⊑ y))"""

additional_info_prompt = "/-Explain using mathematics-/\n"

examples = [
    [unimath1, additional_info_prompt, 2500],
    [unimath2, additional_info_prompt, 2500],
    [unimath3, additional_info_prompt, 2500],
    [unimath4, additional_info_prompt, 2500]
]

model_name = "Goedel-LM/Goedel-Prover-SFT"
tokenizer = AutoTokenizer.from_pretrained(model_name)
model = AutoModelForCausalLM.from_pretrained(model_name, torch_dtype=torch.bfloat16, device_map="auto")

# Set generation config
model.generation_config = GenerationConfig.from_pretrained(model_name)
model.generation_config.pad_token_id = model.generation_config.eos_token_id
model.generation_config.bos_token_id = 100000
model.generation_config.eos_token_id = 100001
model.generation_config.do_sample = True
model.generation_config.temperature = 1.0
model.generation_config.top_p = 0.95

@spaces.GPU
def solve_math_problem(question, informal_prefix, max_tokens):
    # Format the prompt using Lean4 structure
    prompt = format_prompt(question, informal_prefix)
    
    input_ids = tokenizer(prompt, return_tensors="pt").input_ids.to(model.device)
    attention_mask = torch.ones_like(input_ids)
    
    outputs = model.generate(
        input_ids,
        attention_mask=attention_mask,
        max_length=max_tokens + input_ids.shape[1],
        pad_token_id=model.generation_config.pad_token_id,
        temperature=1.0,
        top_p=0.95,
    )
    
    result = tokenizer.decode(outputs[0], skip_special_tokens=True)
    
    # Extract the full code from the response
    full_code = extract_code(prompt + result)
    
    # Create output dictionary similar to reference code
    output_data = {
        "model_input": prompt,
        "model_output": result,
        "full_code": full_code
    }
    
    return json.dumps(output_data, indent=2), full_code

def main():
    iface = gr.Interface(        
        title="# 🙋🏻‍♂️Welcome to🌟Tonic's🔮Goedel Prover📉",
        description="""You can build with this endpoint using🔮Goedel-Prover-SFT📉 available here : [Goedel-LM/Goedel-Prover-SFT](https://huggingface.co/Goedel-LM/Goedel-Prover-SFT). We're using 🤖[introspector/unimath](https://huggingface.co/datasets/introspector/unimath) for cool examples, check it out below ! The demo is still a work in progress and we're looking forward to build downstream tasks that showcase outstanding mathematical reasoning. Have any ideas ? join us below !
You can also use 🔮Goedel Prover📉 by cloning this space. Simply click here: <a style="display:inline-block" href="https://huggingface.co/spaces/Tonic/Math?duplicate=true"><img src="https://img.shields.io/badge/-Duplicate%20Space-blue?labelColor=white&style=flat&logo=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAQCAYAAAAf8/9hAAAAAXNSR0IArs4c6QAAAP5JREFUOE+lk7FqAkEURY+ltunEgFXS2sZGIbXfEPdLlnxJyDdYB62sbbUKpLbVNhyYFzbrrA74YJlh9r079973psed0cvUD4A+4HoCjsA85X0Dfn/RBLBgBDxnQPfAEJgBY+A9gALA4tcbamSzS4xq4FOQAJgCDwV2CPKV8tZAJcAjMMkUe1vX+U+SMhfAJEHasQIWmXNN3abzDwHUrgcRGmYcgKe0bxrblHEB4E/pndMazNpSZGcsZdBlYJcEL9Afo75molJyM2FxmPgmgPqlWNLGfwZGG6UiyEvLzHYDmoPkDDiNm9JR9uboiONcBXrpY1qmgs21x1QwyZcpvxt9NS09PlsPAAAAAElFTkSuQmCC&logoWidth=14" alt="Duplicate Space"></a></h3> 
Join us : 🌟TeamTonic🌟 is always making cool demos! Join our active builder's 🛠️community 👻 [![Join us on Discord](https://img.shields.io/discord/1109943800132010065?label=Discord&logo=discord&style=flat-square)](https://discord.gg/GWpVpekp) On 🤗Huggingface: [TeamTonic](https://huggingface.co/TeamTonic) & [MultiTransformer](https://huggingface.co/MultiTransformer) Math with [introspector](https://huggingface.co/introspector) On 🌐Github: [Tonic-AI](https://github.com/tonic-ai) & contribute to🌟 [SciTonic](https://github.com/Tonic-AI/scitonic)🤗Big thanks to Yuvi Sharma and all the folks at huggingface for the community grant 🤗
""",
        fn=solve_math_problem,
        outputs=[
            gr.JSON(label="Full Output"),
            gr.Code(label="Extracted Lean4 Code", language="python")
        ],
        inputs=[
            gr.Textbox(label="🤔Enter your Lean4 formal statement", lines=7),
            gr.Textbox(value=additional_info_prompt, label="🪜Optional informal prefix"),
            gr.Slider(minimum=150, maximum=2048, value=650, label="🪙Max Tokens")
        ],
        examples=examples
    )

    iface.launch()

if __name__ == "__main__":
    main()