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Tool Presentation: Isabelle/HOL for Reachability Analysis of Continuous Systems

https://doi.org/10.29007/b3wr
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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/11541868_8openalex-snapshot
A HOL Theory of Euclidean Space
inferredcites →https://doi.org/10.1007/3-540-45949-9openalex-snapshot
Isabelle/HOL: A Proof Assistant for Higher-Order Logic
inferredcites →https://doi.org/10.1007/978-3-319-06200-6_9openalex-snapshot
Formally Verified Computation of Enclosures of Solutions of Ordinary Differential Equations
inferredcites →https://doi.org/10.1007/978-3-642-15956-5_1openalex-snapshot
Implementing a Rigorous ODE Solver Through Literate Programming
inferredcites →https://doi.org/10.1007/978-3-642-32347-8_26openalex-snapshot
Numerical Analysis of Ordinary Differential Equations in Isabelle/HOL
inferredcites →https://doi.org/10.1007/978-3-642-38088-4_8openalex-snapshot
Enclosing Temporal Evolution of Dynamical Systems Using Numerical Methods
inferredcites →https://doi.org/10.1007/978-3-662-46681-0_3openalex-snapshot
Verified Reachability Analysis of Continuous Systems
inferredcites →https://doi.org/10.1023/b:numa.0000049462.70970.b6openalex-snapshot
Affine Arithmetic: Concepts and Applications
inferredcites →https://doi.org/10.1145/2593458.2593471openalex-snapshot
Reducing the wrapping effect in flowpipe construction using pseudo-invariants
inferredcites →https://doi.org/10.1145/2676724.2693164openalex-snapshot
A Verified Algorithm for Geometric Zonotope/Hyperplane Intersection

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-319-89963-3_17openalex-snapshot
Efficient Dynamic Error Reduction for Hybrid Systems Reachability Analysis
inferred← citeshttps://doi.org/10.1007/s10796-016-9671-9openalex-snapshot
Two CEGAR-based approaches for the safety verification of PLC-controlled plants
inferred← citeshttps://doi.org/10.1145/3365365.3382192openalex-snapshot
Utilizing dependencies to obtain subsets of reachable sets
inferred← citeshttps://doi.org/10.1145/3365365.3382194openalex-snapshot
Reachability analysis for hybrid systems with nonlinear guard sets
inferred← citeshttps://doi.org/10.1145/3447928.3456643openalex-snapshot
Adaptive parameter tuning for reachability analysis of nonlinear systems
inferred← citeshttps://doi.org/10.29007/5v1gopenalex-snapshot
Checking and Establishing Reachset Conformance in CORA 2023
inferred← citeshttps://doi.org/10.29007/w19bopenalex-snapshot
Implementation of Interval Arithmetic in CORA 2016
inferred← citeshttps://doi.org/10.29007/zzc7openalex-snapshot
Implementation of Taylor models in CORA 2018
inferred← citeshttps://doi.org/10.3934/naco.2019047openalex-snapshot
Formal analysis of the Schulz matrix inversion algorithm: A paradigm towards computer aided verification of general matrix flow solvers
inferred← citeshttps://doi.org/10.48550/arxiv.2111.01312openalex-snapshot
DaDRA: A Python Library for Data-Driven Reachability Analysis
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