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Paper · arXiv

We Query, Therefore We Compute: On Oracle Computation beyond the Machine, with an Application to Agents

Agentic systems use large language models (LLMs) to carry out concrete tasks. Prior work often borrows abstractions such as scheduling, caching or isolation piecemeal from operating systems, so the mechanisms it builds share little common ground, and the shared view of the two forms of agentic system, Workflows and Agents, is limited. We construct an abstract machine that provides both. We treat the LLM as an Oracle and extend a two-stack pushdown automaton with one instruction, which hands the Oracle a whole stack as its query and appends the answer to that same stack. The machine thus performs two computations, the Oracle's and a Turing-complete one that we call the Priestess. A stack t...

AuthorsKefan Liu, Fengning Ou, Yelin Luo et al.
Primary categorycs.AI
Published7 October 2026
Last updated at source7 October 2026
cs.AI
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