A specific class of subsets of R^3 containing all algebraic sets admits minimum adapted CADs, giving the first positive existence theorem for such decompositions in dimension three.
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Thegreatestcommondivisor:acasestudy for program extraction from classical proofs
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2G2T enables constant-size, statistically sound outsourcing of MSM with verification up to 300x faster than local computation and error probability at most 1/q.
A simple deterministic algorithm sorts n items with m given comparisons in O(m + log T) time using O(log T) comparisons by combining topological sort, heapsort, and binary search.
Introduces the quantum instrument monad I_A as a strong monad for quantum effects, with finitary and measure-theoretic constructions based on a new integral notion.
Introduces the first intersection type system for a lambda calculus with algebraic effects and handlers that characterizes termination via subject reduction and expansion while inducing a sound simple type system with decidable HOMC.
A unified frequency framework and resonance-parity initialization scheme maps averaged equilibria to symmetric periodic orbits in the HR3BP and CR3BP, producing bifurcation diagrams that trace orbit families.
Authors constructed a bare-metal CPS VM called Encore! that runs Rocq-extracted Scheme on microcontrollers and demonstrated structuring firmware as a pure state-transition function whose core is fully provable in Rocq.
Introduces bPk# as a delegatable pseudonym system with a formal framework, generic construction with security proofs, concrete instantiation, and reference implementation for eID applications.
Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.
Empirical integral operators with discontinuous non-negative symmetric kernels converge spectrally to their population versions with explicit rates as sample size grows to infinity.
New algorithm computes holonomic submodule of partial Weyl closure via non-commutative Rabinowitsch trick, implemented in Julia with reported speedups over Singular and Macaulay2.
Waiting nets extend time Petri nets by decoupling time measurement from control, admit finite state class graphs for bounded instances, and are strictly more expressive than TPNs under timed language equivalence.
Proves equivalence of big-step and small-step Horn clause derivations and supplies a transformation to convert any clause set into one inheriting a chosen derivation behavior.
LLM-driven program mutation converges to restricted structural attractors, with 87% of chains showing over 93% structural revisits and most variation limited to terminal substitutions, unlike classical GP.
Agent-directed tree search improves LLM performance on Lean formal verification tasks, with context-based orchestration solving more intermediate specs at lower token cost than baseline agents.
A prox-based semi-smooth Newton method for TV-minimization that is globally well-posed and locally superlinearly convergent under finite element discretization, extending to broader convex problems.
None of the four properties in the refined A-translation admits a recursive characterization; the framework is extended with conjunction and a Rust prover is presented as a case study.
New isotopic data from presolar SiC grains are best reproduced by hydrodynamic models of CO novae, establishing them as the primary source for 1-2% of such grains.
Mechanical enforcement of governance rules in LLM-based financial decision systems reduces non-compliant deferrals by 73% and raises task accuracy from MCC 0.43 to 0.88, revealing that governance and task performance are distinct axes.
k-contact geometry supplies explicit Hamiltonian descriptions for multiple dissipative PDEs including damped Klein-Gordon, Allen-Cahn, Fisher-KPP, and complex Ginzburg-Landau equations.
Bulk-edge correspondence for fractional quantum Hall systems is realized as relative higher gauge theory from the complex Hopf fibration, geometrically engineered via M2/M5-branes and TED Cohomotopy flux quantization.
Develops geometric estimates via coarea and tubular neighborhoods showing soft-to-hard MoE routing limit controlled by boundary mass near interfaces under smoothness and transversality assumptions.
WARM-VR provides a new public dataset of wristband and ECG signals from 31 people in VR stress-relaxation experiences with olfactory cues, plus baseline ML classification results for valence and arousal.
RLVR training raises verified Dafny pass rates from 9.7% to 31.1% on a filtered benchmark while a Lean proof scaffold lifts success from 46.2% to 69.2% on a pilot set and solves 7 of 42 prior unsolved tasks.
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On the Counting Sequence of Z-convex Polyominoes
Presents formulas and a C++ implementation to extend the enumeration sequence of Z-convex polyominoes by area beyond prior records.