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Differential-algebra Ic Dynamic Logic For Differential-algebra Ic Programs.pdf

DAL.pdf
Preview of Differential-algebra ic dynamic logic for differential-algebra ic programs
🔗 Source: cs.cmu.edu
📊 Size: 1.46 MB
👤 Author: Andre Platzer
⬇️ Downloads: 187

Summary

The author presents a differential-algebraic dynamic logic (DA-logic or DAL) for verifying hybrid systems with interacting discrete and continuous dynamics. DA-logic extends first-order logic and dynamic logic to handle correctness statements about hybrid systems with symbolic parameters. The logic is based on differential-algebraic programs (DA-programs), which combine first-order discrete jump constraints and differential-algebraic constraints to characterize discrete and continuous transitions. A sequent calculus is introduced for verifying hybrid systems by proving corresponding DAL formulas, using a first-order generalization of standard calculus rules and a new differential induction technique. The approach is applied to a case study of parametric tangential roundabout maneuvers in air traffic control, proving collision avoidance in the calculus.

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Description

The author presents a differential-algebraic dynamic logic (DA-logic or DAL) for verifying hybrid systems with interacting discrete and continuous dynamics.

Technical Information

  • File Format: PDF
  • File Size: 1.46 MB
  • Pages: 45
  • Language: EN
  • Author: Andre Platzer
  • Total Downloads: 187
  • Last Updated: 3 hours ago

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