Catégorie
Logique
Publications associées (1 000)
Orthologic with Axioms
We study the proof theory and algorithms for orthologic, a logical system based on ortholattices, which have shown practical relevance in simplification and normalization of verification conditions. Ortholattices weaken Boolean algebras while having po ...
Interpolation and Quantifiers in Ortholattices
Viktor Kuncak, Simon Guilloud, Sankalp Gambhir
We study quantifiers and interpolation properties in orthologic, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical logic, yet has a quadratic-time decision procedure. We present a sequent-based pro ...
Cham2024Interpolation and Quantifiers in Ortholattices
Viktor Kuncak, Simon Guilloud, Sankalp Gambhir
We study quantifiers and interpolation properties in ortho- logic, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical logic, yet has a quadratic-time decision procedure. We present a sequent-based p ...
2024SC-TPTP: An Extension of the TPTP Derivation Format for Sequent-Based Calculus
Motivated by the transfer of proofs between proof systems, and in particular from first order automated theorem provers (ATPs) to interactive theorem provers (ITPs), we specify an extension of the TPTP derivation text format to describe proofs in first-ord ...
2024Analytical Computation of the Sensitivity Coefficients in Hybrid AC/DC Networks
Mario Paolone, Willem Lambrichts
In this paper, we present a model for the analytical computation of the power flow sensitivity coefficients (SCs) for hybrid AC/DC networks. The SCs are defined as the partial derivates of the nodal voltages with respect to the active and reactive power in ...
2024Non-planarity of Markoff graphs mod p
We prove the non-planarity of a family of 3-regular graphs constructed from the solutions to the Markoff equation x2 + y2 + z2 = xyz modulo prime numbers greater than 7. The proof uses Euler characteristic and an enumeration of the short cycles in these gr ...
Berlin2024Stability of the Faber-Krahn inequality for the short-time Fourier transform
We prove a sharp quantitative version of the Faber–Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit which measures by how much the STFT of a function fails to be optimally concentrated on an arbitrary set of pos ...
Springer Heidelberg2024Transportation-based functional ANOVA and PCA for covariance operators
Victor Panaretos, Yoav Zemel, Valentina Masarotto
We consider the problem of comparing several samples of stochastic processes with respect to their second-order structure, and describing the main modes of variation in this second order structure, if present. These tasks can be seen as an Analysis of Vari ...
Inst Mathematical Statistics-Ims2024Controlling crystal cleavage in focused ion beam shaped specimens for surface spectroscopy
Philip Johannes Walter Moll, Matthias Carsten Putzke, Andrew Scott Hunter
Our understanding of quantum materials is commonly based on precise determinations of their electronic spectrum by spectroscopic means, most notably angle-resolved photoemission spectroscopy (ARPES) and scanning tunneling microscopy. Both require atomicall ...
Melville2024X-ray chemical imaging for assessing redox microsites within soils and sediments
Redox reactions underlie several biogeochemical processes and are typically spatiotemporally heterogeneous in soils and sediments. However, redox heterogeneity has yet to be incorporated into mainstream conceptualizations and modeling of soil biogeochemist ...
Frontiers Media Sa2024