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Everything about Hilbert system
System of formal deduction in logic
In logic, more specifically proof theory, a Hilbert system, sometimes called Hilbert calculus, Hilbert-style system, Hilbert-style proof system, Hilbert-style deductive system or Hilbert–Ackermann system, is a type of formal proof system attributed to Gottlob Frege and David Hilbert. These deductive systems are most often studied for first-order logic, but are of interest for other logics as well. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Hilbert systemA 5-minute orientation
- Skim a recent paper: Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetriesInfluential work since 2022
- Pick up a classic book: The Geometry of Information RetrievalThe most-reprinted book on the subject
- Read the landmark paper: Global Hilbert Expansion for the Vlasov-Poisson-Boltzmann SystemCited 74 times
- Go sideways: Intuitionistic logicA closely related topic
- Go sideways: ContrapositionA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Global Hilbert Expansion for the Vlasov-Poisson-Boltzmann System
Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces
Wear detection in gear system using Hilbert-Huang transform
Nonlinear vibrating system identification via Hilbert decomposition
Reduced System Dynamics as a Stochastic Process in Hilbert Space
Contractivity of the Hilbert-Schmidt distance under open-system dynamics
Exact controllability for singular distributed parameter system in Hilbert space
Global Hilbert Expansion for the Relativistic Vlasov–Maxwell–Boltzmann System
🆕 Influential since 2022
Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries
Image encryption algorithm based on Hilbert sorting vector and new spatiotemporal chaotic system
Array Optimization Based on Weighted and Hilbert–Schmidt Schemes of Multisensor Detection System
Hilbert space fragmentation in a long-range system
Propagating uncertainty through system dynamics in reproducing kernel Hilbert space
đź“š Books worth reading
The Geometry of Information RetrievalC. J. van Rijsbergen, Van Rijsbergen, C.J · 2004
Realizability theory for continuous linear systemsA. H. Zemanian · 1972
Parabolic boundary value problemsS. D. Ėĭdelʹman, Samuil D. Eidelman · 1998
Methods of Hilbert spaces in the theory of nonlinear dynamical systemsKrzysztof Kowalski · 1994- 📕Linear Systems and Operators in Hilbert SpacePaul A. Fuhrmann · 2014
Nonlinear dynamical systems and Carleman linearizationKrzysztof Kowalski · 1991
Stochastic Optimal Control in Infinite DimensionGiorgio Fabbri, Fausto Gozzi · 2017
System theoryAvraham Feintuch · 1982
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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