SatisfiesLawsOfLogic

"IBZ = max I(Z;Y) − βZ I(X,A;Z) ... final objective combines these terms and regularisers"

"The validation kernel enforces evidence completeness, rule coverage, non-contradiction, and provenance completeness before any fragment enters the decision record (Algorithm 1, Section V)."

"We argue that such approaches structurally fail to detect misleading claims due to systematic divergences between conclusions that are logically sound and inferences that humans typically make and accept."

"A single weakly damped collective photon-reservoir mode governs both effects"

"The BB plot is presented as a diagnostic that validates approximate Bayes-factor calculations without ground truth."

"Proposition 1 (Exact proximal form). ... the relaxed update in (3) is the exact minimizer of min_S ½∥S − eS_{t−1}∥²_F + μ_t/2 ∥S^T k_t − v_t∥²₂."

"ARR externalizes a VLM’s internalized preference knowledge as prompt-specific rubrics, translating holistic intent into independently verifiable quality dimensions. This conversion of implicit preference structure into inspectable, interpretable constraints substantially suppresses evaluation biases"

"RuleSafe-VL formalizes 93 atomic rules and 92 typed rule relations... four diagnostic tasks... rule-relation recovery as the dominant bottleneck"

"we employ a standard spatio-temporal skeleton encoder... mapped to interpretable concept predicates via a spatio-temporal concept decoder... composed through differentiable first-order logic layers"

"LogiHard, a formal framework that deterministically transforms 0-order selection into 2-order logical judgment... validity-by-construction... propositional logic tasks via exactness (EXACTi ≡ pi ∧ ⋀j≠i ¬pj), Disjunction (pi ∨ pj), and Negation"

"We develop an evidence-tracked tape semantics using the monadic-core-to-evidenced-frame pipeline (and its induced realizability tripos)"

"generalised entropy h_ℓ[p(z|d)] = min_a E[ℓ(z,a)]"

"Reward learning enables the application of reinforcement learning (RL) to tasks where reward is defined by human judgment, building a model of reward by asking humans questions."

"A nucleus operator R on a frame ... generates a Heyting algebra Ω_R of fixed points"

"GCE adopts an explicit functionalist commitment: cognitive functions are individuated by their causal-functional roles, not by substrate"

"we structurally generate persona-based diverse candidate beliefs... perform adversarial auditing to localize violations and repair through constraint-guided minimal interventions under verifiable acceptance criteria"