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VeriPhy: verified controller executables from verified cyber-physical system models
We present VeriPhy, a verified pipeline which automatically transforms verified high-level
models of safety-critical cyber-physical systems (CPSs) in differential dynamic logic (dL) to …
models of safety-critical cyber-physical systems (CPSs) in differential dynamic logic (dL) to …
Formal verification of obstacle avoidance and navigation of ground robots
This article answers fundamental safety questions for ground robot navigation: under which
circumstances does which control decision make a ground robot safely avoid obstacles …
circumstances does which control decision make a ground robot safely avoid obstacles …
Bellerophon: Tactical theorem proving for hybrid systems
Hybrid systems combine discrete and continuous dynamics, which makes them attractive as
models for systems that combine computer control with physical motion. Verification is …
models for systems that combine computer control with physical motion. Verification is …
Differential equation invariance axiomatization
This article proves the completeness of an axiomatization for differential equation invariants
described by Noetherian functions. First, the differential equation axioms of differential …
described by Noetherian functions. First, the differential equation axioms of differential …
Differential equation axiomatization: The impressive power of differential ghosts
We prove the completeness of an axiomatization for differential equation invariants. First, we
show that the differential equation axioms in differential dynamic logic are complete for all …
show that the differential equation axioms in differential dynamic logic are complete for all …
Differential Hoare logics and refinement calculi for hybrid systems with Isabelle/HOL
We present simple new Hoare logics and refinement calculi for hybrid systems in the style of
differential dynamic logic.(Refinement) Kleene algebra with tests is used for reasoning about …
differential dynamic logic.(Refinement) Kleene algebra with tests is used for reasoning about …
Hybrid systems verification with Isabelle/HOL: Simpler syntax, better models, faster proofs
We extend a semantic verification framework for hybrid systems with the Isabelle/HOL proof
assistant by an algebraic model for hybrid program stores, a shallow expression model for …
assistant by an algebraic model for hybrid program stores, a shallow expression model for …
Embedding differential dynamic logic in PVS
JT Slagel, M Moscato, L White, CA Muñoz… - arxiv preprint arxiv …, 2024 - arxiv.org
Differential dynamic logic (dL) is a formal framework for specifying and reasoning about
hybrid systems, ie, dynamical systems that exhibit both continuous and discrete behaviors …
hybrid systems, ie, dynamical systems that exhibit both continuous and discrete behaviors …
Formally-Verified Round-Off Error Analysis of Runge–Kutta Methods
F Faissole - Journal of Automated Reasoning, 2024 - Springer
Numerical errors are insidious, difficult to predict and inherent in different levels of critical
systems design. Indeed, numerical algorithms generally constitute approximations of an …
systems design. Indeed, numerical algorithms generally constitute approximations of an …
HHLPy: practical verification of hybrid systems using Hoare logic
We present a tool for verification of hybrid systems expressed in the sequential fragment of
HCSP (Hybrid Communicating Sequential Processes). The tool permits annotating HCSP …
HCSP (Hybrid Communicating Sequential Processes). The tool permits annotating HCSP …