162 lines
6.5 KiB
Python
162 lines
6.5 KiB
Python
|
"""
|
||
|
|
core part of data for prompt for dsp:
|
||
|
|
"nl_problem": ..., # x*_nl
|
||
|
|
"nl_solution": ..., # y*_nl = draft*
|
||
|
|
"fl_problem": ..., # x*_fl
|
||
|
|
"fl_partial_sketch": ..., # z_fl example = sketch
|
||
|
|
"src_header_fl_problem": ..., #src_header_x*_fl
|
||
|
|
"fl_header_sketch": ..., # hz_fl suggested header
|
||
|
|
"""
|
||
|
|
import json
|
||
|
|
import sys
|
||
|
|
from pathlib import Path
|
||
|
|
from typing import Optional
|
||
|
|
|
||
|
|
# just an example of stop tokens from the MATH eval code
|
||
|
|
# STOP_TOKENS: list[str] = ["Solution:", "Problem:", "Question:", "USER:", "USER:", "USER", "ASSISTANT:", "ASSISTANT", "Instruction:", "Instruction", "Response:", "Response"]
|
||
|
|
|
||
|
|
default_path_2_examples = '~/gold-ai-olympiad/data/debug/toy_example1_dsp/dsp_debug5_sf/dsp_debug5_sf_train.json'
|
||
|
|
|
||
|
|
# -- Prompt draft (P_draft) for Lean 4
|
||
|
|
"""
|
||
|
|
Draft an informal solution similar to the one below.
|
||
|
|
The informal solution will be used to sketch a formal proof in the Lean 4 Proof Assistant.
|
||
|
|
Here are some examples:
|
||
|
|
|
||
|
|
Informal:
|
||
|
|
(*### Problem\n\n
|
||
|
|
[...nl/i problem text...]\n\n
|
||
|
|
### Solution\n\n
|
||
|
|
[...nl/i solution/draft text...]\n\n
|
||
|
|
*)\n\n
|
||
|
|
|
||
|
|
Informal:
|
||
|
|
(*### Problem\n\n
|
||
|
|
{nl_problem}
|
||
|
|
### Solution\n\n
|
||
|
|
[...Model Completion...]
|
||
|
|
"""
|
||
|
|
SYSTEM_PROMPT_DRAFT_V0 = 'You are an expert mathematician and an expert in the Lean 4 Proof Assistant.'
|
||
|
|
STOP_TOKENS_DRAFT_V0: list[str] = ['Informal:', '(*### Problem']
|
||
|
|
prompt_draft_template_lean4_v0 = ("Draft an informal solution similar to the one below. "
|
||
|
|
"The informal solution will be used to sketch a formal proof in the Lean 4 Proof Assistant. "
|
||
|
|
"Here are some examples of informal problem solutions pairs:\n")
|
||
|
|
def get_prompt_draft_template_4_lean_v0(
|
||
|
|
path_2_examples: str = default_path_2_examples,
|
||
|
|
start: int = 0,
|
||
|
|
end: int = sys.maxsize,
|
||
|
|
prompt_draft_template_4_lean: Optional[str] = prompt_draft_template_lean4_v0,
|
||
|
|
verbose: bool = False,
|
||
|
|
):
|
||
|
|
path_2_examples = Path(path_2_examples).expanduser()
|
||
|
|
# load json file with list of dicts from file in one line
|
||
|
|
with open(path_2_examples, 'r') as f:
|
||
|
|
examples: list[dict] = json.load(f)
|
||
|
|
print(f'{len(examples)=}') if verbose else None
|
||
|
|
examples = examples[start:end]
|
||
|
|
# -- Create prompt by appending few shot examples
|
||
|
|
for example in examples:
|
||
|
|
nl_problem = example['nl_problem']
|
||
|
|
new_few_shot_example = "\nInformal:\n(*### Problem\n\n" + ' '.join(nl_problem)
|
||
|
|
nl_solution_sketch = example['nl_solution_sketch']
|
||
|
|
new_few_shot_example += "\n\n### Solution\n\n" + ' '.join(nl_solution_sketch) + "*)\n"
|
||
|
|
prompt_draft_template_4_lean += new_few_shot_example
|
||
|
|
# Add part to elicit model to do task
|
||
|
|
prompt_draft_template_4_lean += "\nInformal: \n(*### Problem\n\n{nl_problem}\n\n### Solution\n"
|
||
|
|
# Return
|
||
|
|
print(prompt_draft_template_4_lean) if verbose else None
|
||
|
|
return prompt_draft_template_4_lean
|
||
|
|
prompt_draft_template_lean4_v0 = get_prompt_draft_template_4_lean_v0()
|
||
|
|
|
||
|
|
# -- Prompt sketch (P_sketch) for Lean 4
|
||
|
|
"""
|
||
|
|
[... Translate informal draft to a formal sketch in Lean 4. Here are some examples: ...]
|
||
|
|
Informal:\n
|
||
|
|
(*### Problem\n\n
|
||
|
|
[...nl/i problem text...]\n\n
|
||
|
|
### Solution\n\n
|
||
|
|
[...nl/i solution/draft text...]\n\n
|
||
|
|
*)\n\n
|
||
|
|
Formal:\n
|
||
|
|
[...fl/i problem text...]
|
||
|
|
[...fl/i partial sketch text...]
|
||
|
|
\n\n
|
||
|
|
|
||
|
|
Informal:\n
|
||
|
|
(*### Problem\n\n
|
||
|
|
{nl_problem}
|
||
|
|
### Solution\n\n
|
||
|
|
{nl_solution}
|
||
|
|
*)\n\n
|
||
|
|
Formal:\n
|
||
|
|
{fl_problem}
|
||
|
|
[...Model Completion...]
|
||
|
|
"""
|
||
|
|
# tasks is mostly writing lean but perhaps making it think it's good at maths is also good? we could later test just focusing system prompting it to be good at Lean 4.
|
||
|
|
SYSTEM_PROMPT_SKETCH_V0 = 'You are an expert mathematician and an expert in the Lean 4 Proof Assistant.'
|
||
|
|
STOP_TOKENS_SKETCH_V0: list[str] = ['Informal:', '(*### Problem', '###Solution', 'Formal:']
|
||
|
|
prompt_sketch_template_lean4_v0 = ("Translate the informal solution into a sketch in the "
|
||
|
|
"formal Lean 4 proof. Add <TODO_PROOF_OR_HAMMER> in the formal sketch whenever possible. "
|
||
|
|
"<TODO_PROOF_OR_HAMMER> will be used to call a automated theorem prover or tactic in Lean 4. "
|
||
|
|
"Here are some examples:\n"
|
||
|
|
)
|
||
|
|
def get_prompt_sketch_template_4_lean_v0(
|
||
|
|
path_2_examples: str = default_path_2_examples,
|
||
|
|
start: int = 0,
|
||
|
|
end: int = sys.maxsize,
|
||
|
|
prompt_sketch_template_4_lean: Optional[str] = prompt_sketch_template_lean4_v0,
|
||
|
|
autoformalize_prob_in_prompt: Optional[bool] = False,
|
||
|
|
verbose: bool = False,
|
||
|
|
):
|
||
|
|
path_2_examples = Path(path_2_examples).expanduser()
|
||
|
|
# load json file with list of dicts from file in one line
|
||
|
|
with open(path_2_examples, 'r') as f:
|
||
|
|
examples: list[dict] = json.load(f)
|
||
|
|
print(f'{len(examples)=}') if verbose else None
|
||
|
|
examples = examples[start:end]
|
||
|
|
# -- Create prompt by appending few shot examples
|
||
|
|
for example in examples:
|
||
|
|
# TODO: might need to figure out the header thing
|
||
|
|
nl_problem = example['nl_problem']
|
||
|
|
new_few_shot_example = "\nInformal:\n(*### Problem\n\n" + ' '.join(nl_problem)
|
||
|
|
nl_solution_sketch = example['nl_solution_sketch']
|
||
|
|
new_few_shot_example += "\n\n### Solution\n\n" + ' '.join(nl_solution_sketch) + "*)\n"
|
||
|
|
fl_problem = example['fl_problem']
|
||
|
|
fl_header_sketch = example['fl_header_sketch']
|
||
|
|
fl_header_sketch = '\n'.join(fl_header_sketch) + '\n\n'
|
||
|
|
new_few_shot_example += "\nFormal:\n"+ fl_header_sketch + ' '.join(fl_problem)
|
||
|
|
fl_partial_sketch = example['fl_partial_sketch']
|
||
|
|
new_few_shot_example += ' '.join(fl_partial_sketch)
|
||
|
|
prompt_sketch_template_4_lean += new_few_shot_example
|
||
|
|
# Add part to elicit model to do task
|
||
|
|
if autoformalize_prob_in_prompt:
|
||
|
|
prompt_sketch_template_4_lean += "\nInformal:\n(*### Problem\n\n{nl_problem}\n\n### Solution\n\n{nl_solution}*)\n\nFormal:\n"
|
||
|
|
else:
|
||
|
|
prompt_sketch_template_4_lean += "\nInformal:\n(*### Problem\n\n{nl_problem}\n\n### Solution\n\n{nl_solution}*)\n\nFormal:\n{fl_problem}"
|
||
|
|
# Return
|
||
|
|
print(prompt_sketch_template_4_lean) if verbose else None
|
||
|
|
return prompt_sketch_template_4_lean
|
||
|
|
prompt_sketch_template_lean4_v0 = get_prompt_sketch_template_4_lean_v0()
|
||
|
|
|
||
|
|
# -- Main
|
||
|
|
|
||
|
|
def main(
|
||
|
|
verbose: bool = True,
|
||
|
|
):
|
||
|
|
# -- Print Prompt Draft
|
||
|
|
# print('-- Prompt Draft --')
|
||
|
|
# print(prompt_draft_template_lean4_v0)
|
||
|
|
|
||
|
|
# -- Print Prompt Sketch
|
||
|
|
print('-- Prompt Sketch --')
|
||
|
|
sketch_prompt: str = get_prompt_sketch_template_4_lean_v0(verbose=verbose)
|
||
|
|
# print(prompt_sketch_template_lean4_v0)
|
||
|
|
print(sketch_prompt)
|
||
|
|
|
||
|
|
if __name__ == '__main__':
|
||
|
|
import time
|
||
|
|
start = time.time()
|
||
|
|
# fire.Fire()
|
||
|
|
main()
|
||
|
|
end = time.time()
|
||
|
|
print(f'Time elapsed: {end - start} seconds, or {(end - start) / 60} minutes, or {(end - start) / 3600} hours.')
|