Concept
Complemented lattice
Publications associées (37)
Interpolation 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 ...
2024Interpolation 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 ...
Cham2024Orthologic 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 ...
Moments of the number of points in a bounded set for number field lattices
Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban
We examine the moments of the number of lattice points in a fixed ball of volume for lattices in Euclidean space which are modules over the ring of integers of a number field . In particular, denoting by the number of roots of unity in , we ...
arXiv2023LISA – A Modern Proof System
Viktor Kuncak, Simon Guilloud, Sankalp Gambhir
We present LISA, a proof system and proof assistant for constructing proofs in schematic first-order logic and axiomatic set theory. The logical kernel of the system is a proof checker for first-order logic with equality and schematic predicate and fun ...
2023Packing the Boolean lattice with copies of a poset
The Boolean lattice (2[n],subset of) is the family of all subsets of [n]={1,MIDLINE HORIZONTAL ELLIPSIS,n}, ordered by inclusion. Let P be a partially ordered set. We prove that if n is sufficiently large, then there exists a packing P of copies of P in (2 ...
WILEY2020