The Cs — Cc category explores the fascinating world of computational and cognitive systems, bridging the gap between how machines learn and how human minds process information. This rapidly evolving field examines everything from artificial intelligence algorithms to the neural mechanisms behind decision-making, offering fresh insights into the future of technology and human interaction. By decoding complex patterns in data and behavior, researchers in this space are redefining what it means to think, both biologically and digitally.

At Gist.Science, we ensure these breakthroughs remain accessible to everyone. We process every new preprint from arXiv in this category, transforming dense academic findings into clear, plain-language summaries alongside detailed technical breakdowns. This dual approach allows both curious readers and specialists to grasp the core ideas without getting lost in jargon. Below are the latest papers in this field, offering a direct look at the cutting edge of computational science.

🔢 mathematics

Toward a Characterization of Simulation Between Arithmetic Theories

This paper investigates the conditions under which a sound arithmetic theory S\mathcal{S} efficiently simulates its extension S+ϕ\mathcal{S}+\phi by establishing unconditional constraints on such simulations and proposing a central conjecture that links the failure of elementary arithmetic to prove consistency implications with the intractability of proving bounded consistency statements.

Hunter Monroe2026-07-17
💻 computer science

Color Structures and the Monotone Satisfiability Problem with Bounded Variable Occurrence

This paper resolves an open challenge regarding the \textsc{Monotone 3-Sat-(k,1)(\leq k,1)} problem by proving that instances with k{3,4}k \in \{3,4\} are always satisfiable, thereby completing a dichotomy theorem that establishes triviality for k4k \leq 4 and NP-completeness for k5k \geq 5 through the introduction of "color structures" and an efficient constructive algorithm.

Hannah Van Santvliet, Ronald de Haan2026-07-16
🔢 mathematics

Closing the Oracle-Complexity Gap in Derivative-Free Convex Optimization: A Near-Quadratic Lower Bound from Exact Function Values

This paper closes a long-standing gap in the deterministic query complexity of derivative-free convex optimization by establishing a near-quadratic lower bound of Ω(d2/logd)\Omega(d^2/\log d) for exact function values, thereby matching the best known upper bound up to polylogarithmic factors and extending the result to mixed-integer settings.

Phillip Kerger2026-07-16
🔢 mathematics

Separating Geometry From Interference in Constrained Quantum Optimization

This paper introduces a framework that disentangles geometric transport from quantum interference in constrained optimization, demonstrating that while constraint-preserving mixing operators alone lack target-seeking ability, engineering coherent phases allows logarithmic circuit depth to achieve certified success probabilities independent of problem size.

Chinonso Onah, Stuart Hadfield, Kristel Michielsen2026-07-16
💻 computer science

ETH-Hardness of Learning Monotone Circuits and Approximating Their Size

This paper establishes that, under the Randomised Exponential-Time Hypothesis, learning monotone formulas and approximating the size of monotone circuits are computationally hard problems requiring super-polynomial time, a result achieved by applying novel lifting arguments from proof and communication complexity to extend the hardness of automating Resolution proofs.

Bruno Cavalar, Susanna F. de Rezende, Matthew Gray, Rahul Santhanam2026-07-15