--- license: cc-by-4.0 dataset_info: - config_name: predrule-IMP-K-mk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string - name: sampled-statements list: - name: line_number dtype: int64 - name: prior_state struct: - name: ble dtype: int64 - name: ans dtype: int64 - name: num dtype: int64 - name: a dtype: int64 - name: b dtype: int64 - name: c dtype: int64 - name: d dtype: int64 - name: f dtype: int64 - name: x dtype: int64 - name: j dtype: int64 - name: k dtype: int64 - name: m dtype: int64 - name: p dtype: int64 - name: q dtype: int64 - name: r dtype: int64 - name: X dtype: int64 - name: B dtype: int64 - name: n dtype: int64 - 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config_name: predstate-IMP-K-uk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 1591974 num_examples: 162 download_size: 45219 dataset_size: 1591974 - config_name: predstate-IMP-K-uk-llm-translated features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 2135878 num_examples: 165 download_size: 191974 dataset_size: 2135878 - config_name: predstate-IMP-SOS-mk-fuzzer-generated features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 27679877 num_examples: 330 download_size: 7008888 dataset_size: 27679877 - config_name: predstate-IMP-SOS-mk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - 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name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 13248959 num_examples: 165 download_size: 3426544 dataset_size: 13248959 - config_name: predstate-IMP-SOS-uk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 2385774 num_examples: 162 download_size: 51669 dataset_size: 2385774 - config_name: predstate-IMP-SOS-uk-llm-translated features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 2944378 num_examples: 165 download_size: 198417 dataset_size: 2944378 - config_name: predstate-IMP-nk-fuzzer-generated features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 10917179 num_examples: 165 download_size: 3416057 dataset_size: 10917179 - config_name: predstate-IMP-nk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 96390 num_examples: 162 download_size: 41198 dataset_size: 96390 - config_name: predstate-IMP-nk-llm-translated features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string splits: - name: train num_bytes: 612598 num_examples: 165 download_size: 187945 dataset_size: 612598 - config_name: predtrace-IMP-K-mk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string - name: max-loop-depth dtype: int64 - name: max-if-depth dtype: int64 splits: - name: train num_bytes: 22715525 num_examples: 324 download_size: 1272634 dataset_size: 22715525 - config_name: predtrace-IMP-K-uk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string - name: max-loop-depth dtype: int64 - name: max-if-depth dtype: int64 splits: - name: train num_bytes: 11331861 num_examples: 162 download_size: 648136 dataset_size: 11331861 - config_name: predtrace-IMP-SOS-mk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string - name: max-loop-depth dtype: int64 - name: max-if-depth dtype: int64 splits: - name: train num_bytes: 36623365 num_examples: 324 download_size: 2093312 dataset_size: 36623365 - config_name: predtrace-IMP-SOS-uk-human-written features: - name: id dtype: string - name: program dtype: string - name: src-filename dtype: string - name: semantics-type dtype: string - name: syntax dtype: string - name: semantics dtype: string - name: language dtype: string - name: mutated-program dtype: string - name: mutated dtype: bool - name: mutation-pattern dtype: string - name: K-evaluatable dtype: bool - name: ground-truth dtype: string - name: max-loop-depth dtype: int64 - name: max-if-depth dtype: int64 splits: - name: train num_bytes: 18283431 num_examples: 162 download_size: 1061198 dataset_size: 18283431 configs: - config_name: predrule-IMP-K-mk-human-written data_files: - split: train path: predrule-IMP-K-mk-human-written/train-* - config_name: predrule-IMP-K-uk-human-written data_files: - split: train path: predrule-IMP-K-uk-human-written/train-* - config_name: predrule-IMP-SOS-mk-human-written data_files: - split: train path: predrule-IMP-SOS-mk-human-written/train-* - config_name: predrule-IMP-SOS-uk-human-written data_files: - split: train path: predrule-IMP-SOS-uk-human-written/train-* - config_name: predstate-IMP-K-mk-fuzzer-generated data_files: - split: train path: predstate-IMP-K-mk-fuzzer-generated/train-* - config_name: predstate-IMP-K-mk-human-written data_files: - split: train path: predstate-IMP-K-mk-human-written/train-* - config_name: predstate-IMP-K-mk-llm-translated data_files: - split: train path: predstate-IMP-K-mk-llm-translated/train-* - config_name: predstate-IMP-K-uk-fuzzer-generated data_files: - split: train path: predstate-IMP-K-uk-fuzzer-generated/train-* - config_name: predstate-IMP-K-uk-human-written data_files: - split: train path: predstate-IMP-K-uk-human-written/train-* - config_name: predstate-IMP-K-uk-llm-translated data_files: - split: train path: predstate-IMP-K-uk-llm-translated/train-* - config_name: predstate-IMP-SOS-mk-fuzzer-generated data_files: - split: train path: predstate-IMP-SOS-mk-fuzzer-generated/train-* - config_name: predstate-IMP-SOS-mk-human-written data_files: - split: train path: predstate-IMP-SOS-mk-human-written/train-* - config_name: predstate-IMP-SOS-mk-llm-translated data_files: - split: train path: predstate-IMP-SOS-mk-llm-translated/train-* - config_name: predstate-IMP-SOS-uk-fuzzer-generated data_files: - split: train path: predstate-IMP-SOS-uk-fuzzer-generated/train-* - config_name: predstate-IMP-SOS-uk-human-written data_files: - split: train path: predstate-IMP-SOS-uk-human-written/train-* - config_name: predstate-IMP-SOS-uk-llm-translated data_files: - split: train path: predstate-IMP-SOS-uk-llm-translated/train-* - config_name: predstate-IMP-nk-fuzzer-generated data_files: - split: train path: predstate-IMP-nk-fuzzer-generated/train-* - config_name: predstate-IMP-nk-human-written data_files: - split: train path: predstate-IMP-nk-human-written/train-* - config_name: predstate-IMP-nk-llm-translated data_files: - split: train path: predstate-IMP-nk-llm-translated/train-* - config_name: predtrace-IMP-K-mk-human-written data_files: - split: train path: predtrace-IMP-K-mk-human-written/train-* - config_name: predtrace-IMP-K-uk-human-written data_files: - split: train path: predtrace-IMP-K-uk-human-written/train-* - config_name: predtrace-IMP-SOS-mk-human-written data_files: - split: train path: predtrace-IMP-SOS-mk-human-written/train-* - config_name: predtrace-IMP-SOS-uk-human-written data_files: - split: train path: predtrace-IMP-SOS-uk-human-written/train-* ---

The 43rd International Conference on Machine Learning (ICML 2026), Seoul, South Korea

LLMs Lean on Priors, Not Programming Language Semantics PLSemanticsBench logo

by Aditya Thimmaiah1, Jiyang Zhang1, Jayanth Srinivasa2, Junyi Jessy Li1, Milos Gligoric1

1The University of Texas at Austin     2Cisco Research

[![Website](https://img.shields.io/badge/Project_Page-PLSemanticsBench-blueviolet)](https://engineeringsoftware.github.io/PLSemanticsBench/) [![arXiv](https://img.shields.io/badge/arXiv-2510.03415v3-b31b1b.svg)](https://arxiv.org/pdf/2510.03415v3) [![Code](https://img.shields.io/badge/Code-GitHub-black)](https://github.com/EngineeringSoftware/PLSemanticsBench) [![Dataset](https://img.shields.io/badge/🤗-Dataset-yellow)](https://huggingface.co/datasets/EngineeringSoftware/PLSemanticsBench)
--- **TLDR:** Frontier LLMs execute programs with up to 90–100% accuracy when symbols retain their usual meanings (e.g., + means addition). Under counterfactual semantic shifts (e.g., redefining + to mean subtraction) accuracy collapses by 40–70 percentage points. Despite handing the complete formal rules, the models keep answering as if the rules were never changed. LLMs don't faithfully interpret the semantics they are given—they retrieve what symbols usually mean from pretraining. ## Abstract Recent work asks whether large language models (LLMs) condition their reasoning on explicit rules rather than statistical regularities from pre-training. Program execution provides a canonical instance: formal semantics define behavior through symbolic transition rules that can be systematically altered under distribution shift. We investigate whether LLMs can condition their reasoning on formal semantics through program execution and introduce PLSEMANTICSBENCH, pairing featherweight C programs with two semantic systems—small-step operational semantics and K semantics—and probing four capabilities: composing rules for final states, selecting rules when state is unmutated, sustaining such conditioning over long traces, and following supplied rules under novel semantics. To decouple semantic reasoning from syntactic familiarity, we redefine familiar operators to induce symbol-meaning conflict and introduce novel symbols defined only through the supplied rules, and stress-test models on Human-Written, LLM-Translated, and Fuzzer-Generated splits with increasing structural complexity. Across 11 frontier LLMs, strong final-state accuracy under standard semantics (up to 90%) drops sharply—by as much as 40–60% points—under semantic mutations and increasing structural complexity. Only a handful of models achieve non-zero long-horizon conditioning accuracy, and even the best systems reach just 35%. Together, these results suggest that contemporary LLMs often rely on pretrained lexical associations rather than systematically conditioning on supplied formal rules. ## Table of Contents - [About](#about) - [Installation](#installation) - [Quick Start](#quick-start) - [Detailed Usage](#detailed-usage) - [Benchmark](#benchmark) - [Citation](#citation) ## About PLSemanticsBench is the first counterfactual PL semantics dataset for rule-conditioned reasoning of LLMs. We introduce three tasks to evaluate this: | Task | Description | |------|-------------| | ✨ **PredState**| Predicts the final program state | | ✨ **PredRule** | Predicts the ordered sequence of semantic rules needed to evaluate a program| | ✨ **PredTrace**| Predicts the step-by-step execution of a program | You must implement [BaseRunner](https://github.com/EngineeringSoftware/PLSemanticsBench/blob/main/src/plsemanticsbench/core/exps/base_experiment.py)(`_query` method) to evaluate your models. We provide two example implementations for OpenAI models ([GPTRunner](https://github.com/EngineeringSoftware/PLSemanticsBench/blob/main/src/plsemanticsbench/core/exps/gpt_experiment.py)) and Ollama models ([OllamaRunner](https://github.com/EngineeringSoftware/PLSemanticsBench/blob/main/src/plsemanticsbench/core/exps/ollama_experiment.py)). ## Installation ### System Requirements - Python 3.11 or higher - OpenAI API key (for running experiments with OpenAI models) ### Step-by-Step Installation 1. Create and activate the conda environment: ```bash conda env create -f env.yaml conda activate plsemanticsbench ``` 2. Set up your OpenAI API key (only for OpenAI models): ```bash export OPENAI_API_KEY='your-api-key-here' ``` ## Quick Start We provide a bash script `quick` that: 1. Sets up the `plsemanticsbench` conda environment. 2. Pulls the `DeepSeek-R1 1.5B` model. 3. Evaluates the `DeepSeek-R1 1.5B` model on the `PredState` task with `no-semantics` and `chain-of-thought` prompting on the `Human-Written` dataset. 4. Prints the `accuracy` and `malformed-count` to screen. 5. Creates `metrics-predstate-deepseek-r1:1.5b.json` that contains the evaluation result. ```bash bash quick ``` ## Detailed Usage ### Basic Example Here's a minimal example to get started: ```python from plsemanticsbench import GPTRunner from plsemanticsbench import ExperimentArgs, LLMEvaluator from plsemanticsbench import ( PROMPT_STRATEGY, Task, Formalization, Semantics_Type, Language, PLDataset ) # Model name model_name = "o3-mini" # Experiment args: Run the PredState task on the IMP language with # standard semantics formalized using SOS and with direct prompting exp_args = ExperimentArgs( dataset=PLDataset.Human_Written, task=Task.PredState, language=Language.IMP, formalization=Formalization.SOS, semantics_type=Semantics_Type.Standard, model_name=model_name, prompt_strategy=PROMPT_STRATEGY.DA, num_datapoints_to_run=2, # Run just 2 datapoints (omit to run entire dataset) ) # Run inference using the OpenAI API gpt_runner = GPTRunner(args=exp_args) # Generation (generate LLM prediction on the predstate task) predictions = gpt_runner.do_experiment() # path to dump results can be provided # Evaluation (evaluate LLM prediction against ground-truth) llm_eval = LLMEvaluator(task=exp_args.task, semantics_type=exp_args.semantics_type) evaluation_result = llm_eval.evaluate_from_list(results=predictions, model_name=model_name) print(evaluation_result) ``` ### Expected Output ```python { 'accuracy': 1, 'malformed-count': 0, } ``` ## Benchmark You can load the dataset using the `datasets` library. Here is an example: ```python from datasets import load_dataset # Load PredState task with standard semantics (uk) and K-semantics formalization (K) and with the Human Written (human-written) dataset predstate_IMP_K_uk_human_written = load_dataset("EngineeringSoftware/PLSemanticsBench", name="predstate-IMP-K-uk-human-written") # Load PredRule task with nonstandard semantics (mk) ans SOS formalization (SOS) and with the LLM Translated (llm-translated) dataset predrule_IMP_SOS_mk_llm_translated = load_dataset("EngineeringSoftware/PLSemanticsBench", name="predrule-IMP-SOS-mk-llm-translated") # Load PredState task with no-semantics (nk) and with the Fuzzer Generated (fuzzer-generated) dataset predstate_IMP_nk_fuzzer_generated = load_dataset("EngineeringSoftware/PLSemanticsBench", name="predstate-IMP-nk-fuzzer-generated") ``` ### Dataset Split
Task Split Description
✨ PredState
(Final State Prediction)
predstate-IMP-nk-{dataset-name} No semantics
predstate-IMP-K-uk-{dataset-name} Standard semantics with K-semantics formalization
predstate-IMP-K-mk-{dataset-name} Nonstandard semantics with K-semantics formalization
predstate-IMP-SOS-uk-{dataset-name} Standard semantics with SOS formalization
predstate-IMP-SOS-mk-{dataset-name} Nonstandard semantics with SOS formalization
✨ PredRule
(Semantic Rule Prediction)
predrule-IMP-K-uk-human-written Standard semantics with K-semantics formalization
predrule-IMP-K-mk-human-written Nonstandard semantics with K-semantics formalization
predrule-IMP-SOS-uk-human-written Standard semantics with SOS formalization
predrule-IMP-SOS-mk-human-written Nonstandard semantics with SOS formalization
✨ PredTrace
(Execution Trace Prediction)
predtrace-IMP-K-uk-human-written Standard semantics with K-semantics formalization
predtrace-IMP-K-mk-human-written Nonstandard semantics with K-semantics formalization
predtrace-IMP-SOS-uk-human-written Standard semantics with SOS formalization
predtrace-IMP-SOS-mk-human-written Nonstandard semantics with SOS formalization
### Data Example One example of the dataset is as follows: ```json { "program": "int ans; ans = 1; ...", "syntax": " :: ...", "semantics": "ℤ := Set of integers ...", "mutated-program": "int ans; ans = 1; ...", "mutation-pattern": "KeyWordSwap", "exec-trace": [ { "linenumber": 1, "rule": ["Rule 38", "Rule 39"], "state": {"ans": 1} } ], "ground-truth": "..." } ``` ## Citation ```bibtex @inproceedings{ThimmaiahETAL25PLSemanticsBench, title = {LLMs Lean on Priors, Not Programming Language Semantics}, author = {Thimmaiah, Aditya and Zhang, Jiyang and Srinivasa, Jayanth and Li, Junyi Jessy and Gligoric, Milos}, booktitle = {ICML}, year = {2026} } ``` ## License This project is licensed under the [CC BY 4.0 License](https://creativecommons.org/licenses/by/4.0/).