Results 1 to 10 of about 89 (82)
Connecting the free energy principle with quantum cognition [PDF]
Frontiers in Neurorobotics, 2022 It appears that the free energy minimization principle conflicts with quantum cognition since the former adheres to a restricted view based on experience while the latter allows deviations from such a restricted view.
Yukio-Pegio Gunji +2 more
doaj +2 more sources
Rough Approximation Operators on a Complete Orthomodular Lattice
Axioms, 2021 This paper studies rough approximation via join and meet on a complete orthomodular lattice. Different from Boolean algebra, the distributive law of join over meet does not hold in orthomodular lattices. Some properties of rough approximation rely on the
Songsong Dai
doaj +3 more sources
Classical Logic and Quantum Logic with Multiple and Common Lattice Models
Advances in Mathematical Physics, 2016 We consider a proper propositional quantum logic and show that it has multiple disjoint lattice models, only one of which is an orthomodular lattice (algebra) underlying Hilbert (quantum) space.
Mladen Pavičić
doaj +2 more sources
Structural Entanglement from Interaction-Induced Fixed Points [PDF]
EntropyWe introduce a lattice-theoretic framework for composite information systems in which tensor-like composition and entanglement are defined without presupposing Hilbert spaces or quantum states.
Yukio-Pegio Gunji, Andrei Khrennikov
doaj +2 more sources
Roughness in lattice ordered effect algebras. [PDF]
ScientificWorldJournal, 2014 Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras. Finally, we use a Riesz ideal induced congruence and
Xin XL, Hua XJ, Zhu X.
europepmc +2 more sources
Interplay Between Vertical and Horizontal Schemes of Computation: From Bayesian Inference to Quantum Logic via Gluing Boolean Algebras [PDF]
EntropyArtificial intelligence is typically formulated as an information-processing system composed of artificial neurons, where computation is understood as recursive operations connecting inputs and outputs.
Yukio-Pegio Gunji +7 more
doaj +2 more sources
Residuation in orthomodular lattices
Topological Algebra and its Applications, 2017 We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
doaj +2 more sources
On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Orthomodular lattices generalize the Boolean algebras; they have arisen in the study of quantum logic. Quantum-MV algebras were introduced as non-lattice theoretic generalizations of MV algebras and as non-idempotent generalizations of ...
Afrodita Iorgulescu
doaj +1 more source
Orthogonality and complementation in the lattice of subspaces of a finite vector space [PDF]
Mathematica Bohemica, 2022 We investigate the lattice $ L( V)$ of subspaces of an $m$-dimensional vector space $ V$ over a finite field ${\rm GF}(q)$ with a prime power $q=p^n$ together with the unary operation of orthogonality.
Ivan Chajda, Helmut Länger
doaj +1 more source
Topological duality for orthomodular lattices
Mathematical Logic Quarterly, Volume 69, Issue 2, Page 174-191, May 2023., 2023 Abstract A class of ordered relational topological spaces is described, which we call orthomodular spaces. Our construction of these spaces involves adding a topology to the class of orthomodular frames introduced by Hartonas, along the lines of Bimbó's topologization of the class of orthoframes employed by Goldblatt in his representation of ...
Joseph McDonald, Katalin Bimbó
wiley +1 more source