15-424: Logical Foundations of Cyber-Physical Systems (Fa'21)

Textbook chapters for the individual lectures are linked below, including supporting slides marked with (S) and supporting videos marked with (V). Neither slides nor videos always cover the full lecture.
(V) = videos      (S) = slides      (N) = flipped


DateLecture NotesChExtraDue
Tue08/31Cyber-physical systems: introduction1(V) (S
Thu09/02Differential equations & domains2
Fri09/03Rec: Syntax, Semantics, FOL, ODEsAsst 0 
Tue09/07Choice & control3
Thu09/09Safety & contracts4
Fri09/10Rec: Logic, programs, transition relationsLab 0 
Tue09/14Dynamical systems & dynamic axioms5Asst 1 
Thu09/16Truth & proof6Beta 1 
Fri09/17Rec: Common modeling errors and soundness
Tue09/21Control loops & invariants7Lab 1 
Thu09/23Events & responses8
Fri09/24Rec: Eventful tactical KeYmaera X proofs
Tue09/28Reactions & delays9Asst 2 
Thu09/30Differential equations & differential invariants10Beta 2 
Fri10/01Rec: Time-triggered control, differentials, differential invariant terms
Tue10/05Differential equations & proofs11Lab 2 
Thu10/07Reviewing logical foundations & CPS
Fri10/08Rec: Differential invariants, differential cutsAsst 3 
Tue10/12Midterm I
Thu10/14Free: Mid-Semester Break
Fri10/15Free: Mid-Semester Break
Tue10/19Hybrid systems & games14White paper 
Thu10/21Winning strategies & regions15Beta 3 
Fri10/22Rec: Game semantics, Geri's game, bus games
Tue10/26Winning & proving hybrid games16Lab 3 
Thu10/28Ghosts & differential ghosts12
Fri10/29Rec: Game proofs and go with ghosts
Tue11/02Game proofs & separations17 TOCL'17 Asst 4 
Thu11/04Axioms & uniform substitutions18Beta 4 
Fri11/05Free: Day for Community Engagement
Tue11/09Exam reviewLab 4 
Thu11/11Midterm II
Fri11/12Rec: Modeling and proving with diamonds
Tue11/16Verified models & verified runtime validation19Proposal 
Thu11/18Differential equations & completeness JACM'20
Fri11/19Rec: Synthesis, Simulation, and Validation
Tue11/23Free: Project day
Thu11/25Free: Thanksgiving
Fri11/26Free: Thanksgiving
Tue11/30Virtual substitution & real equations20
Thu12/02Virtual substitution & real arithmetic21, Project 
Fri12/03Rec: Wrestling with real arithmeticPaper 
Fri12/10CPS V&V Grand PrixSlides 

The lecture schedule is tentative!

The chapter numbers indicated above refer to the following textbook:

  1. André Platzer.
    Logical Foundations of Cyber-Physical Systems.
    Springer, Cham, 2018. 659 pages. ISBN 978-3-319-63587-3.
    [bib | | doi | slides | video | book | web | errata | abstract]

Logical Foundations of Cyber-Physical Systems

Lab Schedule

Assignments, labs, and quizzes are released on Diderot.
Asst 00Preparation AssignmentFri09/03
Lab 010Scavenger HuntFri09/10
Asst 140Introduction to Hybrid ProgramsTue09/14
Beta 115Charging Station (Betabot)Thu09/16
Lab 175Charging Station (Veribot)Tue09/21
Asst 240Loops and ProofsTue09/28
Beta 220Follow the Leader (Betabot)Thu09/30
Lab 280Follow the Leader (Veribot)Tue10/05
Asst 340Proofs, Differential InvariantsFri10/08
Beta 330Robots on Racetracks (Betabot)Thu10/21
Lab 370Robots on Racetracks (Veribot)Tue10/26
Asst 440ODEs, Ghosts, and GamesTue11/02
Beta 420Static and Dynamic Obstacles (Betabot)Thu11/04
Lab 480Static and Dynamic Obstacles (Veribot)Tue11/09
White paper20Star-lab White PaperTue10/19
Proposal80Star-lab ProposalTue11/16
Project100Star-lab Final ProjectThu12/02
Paper100Term PaperFri12/03
Slides0Slides and PresentationFri12/10
Sum860points listed

The Lab and Assignment Schedule is tentative!
Labs have a due date and time for Betabots (due before midnight) and a different due date and time for Veribots (due before midnight). Theory assignments are due before midnight on the due day.

For an overview of the labs, see Labs & Assignments.