Formal Logic โ€” Bottom-Up Evaluation

LoRA adapter for Qwen/Qwen2.5-1.5B-Instruct fine-tuned on formal logic via Algorithmic Template SFT.

Part of the Algorithmic SFT vs Distillation experiment studying whether deterministic algorithmic templates teach procedural reasoning more effectively than distillation from large reasoning models.

Training

Parameter Value
Base model Qwen/Qwen2.5-1.5B-Instruct
Method Algorithmic Template SFT
Framework LLaMA-Factory (SFT stage)
LoRA rank 64
LoRA target all linear layers
Learning rate 1e-4
Epochs 3
Batch size 4 (grad accum 4)
Cutoff length 32,768 tokens
Training data 5,000 deterministic bottom-up recursive evaluation traces (d5: 3 variables, 3-4 connectives)

Evaluation (v3, MAX_TOKENS=32768)

Split Accuracy
Test (in-distribution) 100.0%
Harder variant 95.2%
Structural OOD 92.6% (5 variables)

Notes

Perfect in-distribution, graceful degradation on harder/OOD. The bottom-up procedure scales naturally to more variables.

Usage

from peft import PeftModel
from transformers import AutoModelForCausalLM, AutoTokenizer

base = AutoModelForCausalLM.from_pretrained("Qwen/Qwen2.5-1.5B-Instruct")
model = PeftModel.from_pretrained(base, "reasoning-degeneration-dev/algo-sft-formal-logic-bottom-up")
tokenizer = AutoTokenizer.from_pretrained("Qwen/Qwen2.5-1.5B-Instruct")

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