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on
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Running
on
Zero
| import spaces | |
| import re | |
| import gradio as gr | |
| from transformers import AutoTokenizer, AutoModelForCausalLM, GenerationConfig | |
| import torch | |
| import json | |
| LEAN4_DEFAULT_HEADER = ( | |
| "import Mathlib\n" | |
| "import Aesop\n\n" | |
| "set_option maxHeartbeats 0\n\n" | |
| "open BigOperators Real Nat Topology Rat" | |
| ) | |
| 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" | |
| f"```lean4\n" | |
| f"{LEAN4_DEFAULT_HEADER}\n" | |
| f"{informal_prefix}\n" | |
| f"{formal_statement}" | |
| ) | |
| def extract_code(response): | |
| """Extract code between lean4 code blocks and the model's output""" | |
| try: | |
| # Find all content between ```lean4 and ``` tags | |
| matches = re.findall(r'```lean4(.*?)```', response, re.DOTALL) | |
| if not matches: | |
| return "None" | |
| # Get the last match which should contain the complete code including model output | |
| full_content = matches[-1].strip() | |
| # Clean up any duplicate headers or content | |
| # Split the content into lines | |
| lines = full_content.split('\n') | |
| cleaned_lines = [] | |
| seen_headers = set() | |
| for line in lines: | |
| # Skip empty lines at the start | |
| if not cleaned_lines and not line.strip(): | |
| continue | |
| # Skip duplicate headers | |
| if "import Mathlib" in line or "import Aesop" in line or "set_option" in line: | |
| if line in seen_headers: | |
| continue | |
| seen_headers.add(line) | |
| cleaned_lines.append(line) | |
| # Join the lines back together | |
| return '\n'.join(cleaned_lines) | |
| 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 | |
| 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://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=4086, value=2500, label="🪙Max Tokens") | |
| ], | |
| examples=examples | |
| ) | |
| iface.launch() | |
| if __name__ == "__main__": | |
| main() | |