Satisfiability
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Polynomial-time satisfiability for a special case of Positive$\wedge$Negative
Announce Type: new Abstract: A Boolean function in CNF format is of type Positive$\wedge$Negative} if each clause C is either positive (i.e. all literals of C are positive) or negative (i.e. all literals of C are negative). As is well known, deciding the satisfiability of such CNFs is NP-complete. We say that a CNF is of type DisjointPositive if its clauses are positive and mutually disjoint.
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Fair Decisions from Calibrated Scores: Achieving Optimal Classification While Satisfying Sufficiency
arXiv:2602.07285v2 Announce Type: replace Abstract: Binary classification based on predicted probabilities (scores) is a fundamental task in supervised machine learning. While thresholding scores is Bayes-optimal in the unconstrained setting, using a single threshold generally violates statistical group fairness constraints. Under independence (statistical parity) and separation (equalized odds), such thresholding suffices when the scores already satisfy the corresponding criterion.
A Study of Parallel Continuous Local Search
arXiv:2606.06656v2 Announce Type: replace Abstract: We study parallel Continuous Local Search (CLS) as a solution approach for Boolean satisfiability problems with symmetric pseudo-Boolean (PB) constraints. Here, the $n$-variable PB-satisfiability problem is relaxed to a continuous optimisation problem with a differentiable objective function on an $n$-dimensional hypercube. For satisfiable instances, the global minimisers of this optimisation problem correspond to satisfying assignments of...
A Study of Parallel Continuous Local Search
Announce Type: new Abstract: We study parallel Continuous Local Search (CLS) as a solution approach for Boolean satisfiability problems with symmetric pseudo-Boolean (PB) constraints. Here, the $n$-variable PB-satisfiability problem is relaxed to a continuous optimisation problem with a differentiable objective function on an $n$-dimensional hypercube. For satisfiable instances, the global minimisers of this optimisation problem correspond to satisfying assignments of the SAT problem at hand.
The Complexity of Generalized HyperLTL with Stuttering and Contexts
Announce Type: replace Abstract: We settle the complexity of satisfiability, finite-state satisfiability, and model-checking for generalized HyperLTL with stuttering and contexts, an expressive logic for the specification of asynchronous hyperproperties. Such properties cannot be specified in HyperLTL, as it is restricted to synchronous hyperproperties. Nevertheless, we prove that satisfiability is $\Sigma_1^1$-complete and thus not harder than for HyperLTL.
Art collector loses legal fight over sculpture featuring 165-year-old elephant tusk
Art collector loses legal fight over sculpture featuring 165-year-old elephant tusk Eileen Agar’s The Obelisk of Satisfied Desire fell foul of the 2018 Ivory Act - Bookmark - CommentsGo to comments An art collector has lost a legal battle with the government after being prohibited from selling a rare surrealist sculpture due to its inclusion of a 165-year-old elephant tusk. Devon-based art expert Victor James was blocked from selling Eileen Agar’s 1930s creation, The Obelisk of Satisfied...