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- # LLMs Lean on Priors, Not Programming Language Semantics (ICML 2026)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ## Table of Contents
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  - [About](#about)
 
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  path: predtrace-IMP-SOS-uk-human-written/train-*
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  ---
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+ <div align="center">
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+ <h1>
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+ LLMs Lean on Priors, Not Programming Language
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+ <span style="white-space: nowrap;">
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+ Semantics
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+ <img
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+ src="https://raw.githubusercontent.com/EngineeringSoftware/PLSemanticsBench/main/docs/logo.png"
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+ alt="PLSemanticsBench logo"
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+ width="60"
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+ style="display: inline-block !important;
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+ vertical-align: -1.0em;
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+ margin-left: 10px;
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+ margin-bottom: 0;">
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+ </span>
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+ </h1>
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+
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+ <p style="font-size: 20px;">
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+ by
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+ <a href="https://www.adityathimmaiah.com">Aditya Thimmaiah</a><sup>1</sup>,
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+ <a href="https://jiyangzhang.github.io/">Jiyang Zhang</a><sup>1</sup>,
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+ <a href="https://scholar.google.com/citations?user=HtNfeKYAAAAJ&hl=en">Jayanth Srinivasa</a><sup>2</sup>,
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+ <a href="https://www.jessyli.com">Junyi Jessy Li</a><sup>1</sup>,
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+ <a href="https://users.ece.utexas.edu/~gligoric/">Milos Gligoric</a><sup>1</sup>
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+ </p>
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+
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+ <p>
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+ <sup>1</sup>The University of Texas at Austin &nbsp;&nbsp;&nbsp;
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+ <sup>2</sup>Cisco Research
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+ </p>
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+ </div>
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+
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+ <div align="center">
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+
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+ [![Website](https://img.shields.io/badge/Project_Page-PLSemanticsBench-blueviolet)](https://engineeringsoftware.github.io/PLSemanticsBench/)
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+ [![arXiv](https://img.shields.io/badge/arXiv-2510.03415v3-b31b1b.svg)](https://arxiv.org/pdf/2510.03415v3)
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+ [![Code](https://img.shields.io/badge/Code-GitHub-black)](https://github.com/EngineeringSoftware/PLSemanticsBench)
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+ [![Dataset](https://img.shields.io/badge/🤗-Dataset-yellow)](https://huggingface.co/datasets/EngineeringSoftware/PLSemanticsBench)
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+
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+ </div>
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+
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+ ---
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+
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+ **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.
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+ LLMs don't faithfully interpret the semantics they are given—they retrieve what symbols usually mean from pretraining.
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+
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+ ## Abstract
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+ Recent work asks whether large language models (LLMs) condition their reasoning on explicit rules rather than statistical regularities from pre-training.
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+ Program execution provides a canonical instance: formal semantics define behavior through symbolic transition rules that can be systematically altered
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+ under distribution shift. We investigate whether LLMs can condition their reasoning on formal semantics through program execution and introduce PLSEMANTICSBENCH,
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+ pairing featherweight C programs with two semantic systems—small-step operational semantics and K semantics—and probing four capabilities: composing rules for
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+ final states, selecting rules when state is unmutated, sustaining such conditioning over long traces, and following supplied rules under novel semantics. To
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+ decouple semantic reasoning from syntactic familiarity, we redefine familiar operators to induce symbol-meaning conflict and introduce novel symbols defined only
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+ through the supplied rules, and stress-test models on Human-Written, LLM-Translated, and Fuzzer-Generated splits with increasing structural complexity. Across
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+ 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
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+ 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
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+ suggest that contemporary LLMs often rely on pretrained lexical associations rather than systematically conditioning on supplied formal rules.
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  ## Table of Contents
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  - [About](#about)