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Conference & Journal · 2026Open Access

Verifiable State Space Models for Deterministic Sequence Reasoning

Janusz Kowalczyk, Aleksander Zieliński, Karolina Nowak

IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI) Vol. 48(4), pp. 1120-1135(2026). DOI: 10.1109/TPAMI.2026.3382910

Authors & Co-Investigators

  1. Janusz Kowalczyk
  2. Aleksander Zieliński
  3. Karolina Nowak

Affiliated Institutions & Departments

  • BBQ Institute of Advanced Science & Technology
  • University of Warsaw

Abstract & Research Overview

This paper presents a novel family of verifiable state space models (SSMs) that incorporate polynomial certificate constraints into continuous-time hidden state transitions. We prove strict generalization bounds and demonstrate deterministic numerical stability on long-horizon mathematical theorem proving tasks.

Core research publication from the Laboratory for Machine Cognition & Neural Systems (MCNC Lab).

Open Access & DOI Link

Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Official publication DOI link: https://doi.org/10.1109/TPAMI.2026.3382910