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. Flipped classroom material is marked with (N) but never covers the full lecture.
(V) = videos      (S) = slides      (N) = flipped


CAREFUL: DATES are not yet for 2021.
DateLecture NotesChExtraDue
Tue09/01Cyber-physical systems: introduction1(V) (S
Thu09/03Differential equations & domains2
Fri09/04Rec: Syntax, Semantics, FOL, ODEsAsst 0 
Tue09/08Choice & control3
Thu09/10Safety & contracts4Lab 0 
Fri09/11Rec: Logic, programs, transition relations
Tue09/15Dynamical systems & dynamic axioms5
Thu09/17Truth & proof6Asst 1 
Fri09/18Rec: Common modeling errors and soundnessBeta 1 
Tue09/22Control loops & invariants7
Thu09/24Events & responses8Lab 1 
Fri09/25Rec: Eventful tactical KeYmaera X proofs
Tue09/29Reactions & delays9
Thu10/01Differential equations & differential invariants10Asst 2 
Fri10/02Rec: Time-triggered control, differentials, differential invariant termsBeta 2 
Tue10/06Differential equations & proofs11
Thu10/08Ghosts & differential ghosts12Lab 2 
Fri10/09Rec: Differential invariants, differential cuts, differential ghosts
Tue10/13Reviewing logical foundations & CPSAsst 3 
Thu10/15?Midterm I?
Fri10/16Free: Day for Community Engagement
Tue10/20Hybrid systems & games14Beta 3 
Thu10/22Winning strategies & regions15White paper 
Fri10/23Free: Mid-semester break
Tue10/27Winning & proving hybrid games16Lab 3 
Thu10/29Rec: Game semantics, Geri's game, bus games, proved games
Fri10/30Axioms & uniform substitutions18
Tue11/03Game proofs & separations17 TOCL'17 Asst 4 
Thu11/05Differential axioms & uniform substitutions18 JAR'17 Beta 4 
Fri11/06Rec: Convergence and uniform subst
Tue11/10Exam reviewLab 4 
Thu11/12?Midterm II?
Fri11/13Rec: Modeling and proving with diamonds
Tue11/17Verified models & verified runtime validation19
Thu11/19Differential equations & completeness JACM'20
Fri11/20Rec: Synthesis, Simulation, and ValidationProposal 
Tue11/24Free: Project day
Thu11/26Free: Thanksgiving
Fri11/27Free: Thanksgiving
Tue12/01Virtual substitution & real equations20
Thu12/03Virtual substitution & real arithmetic21,
Fri12/04Rec: Wrestling with real arithmetic
Tue12/08Hybrid systems & continuous completeness LICS'12,JAR'17
Thu12/10Hybrid systems & discrete completeness LICS'12,JAR'17 Project 
Fri12/11Distributed systems & hybrid systems LMCS'12 Paper 
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 AssignmentFri09/04
Lab 010Scavenger HuntThu09/10
Asst 140Introduction to Hybrid ProgramsThu09/17
Beta 115Charging Station (Betabot)Fri09/18
Lab 175Charging Station (Veribot)Thu09/24
Asst 240Loops and ProofsThu10/01
Beta 220Follow the Leader (Betabot)Fri10/02
Lab 280Follow the Leader (Veribot)Thu10/08
Asst 340Proofs, Differential InvariantsTue10/13
Beta 330Robots on Racetracks (Betabot)Tue10/20
Lab 370Robots on Racetracks (Veribot)Tue10/27
Asst 440ODEs, Ghosts, and GamesTue11/03
Beta 420Static and Dynamic Obstacles (Betabot)Thu11/05
Lab 480Static and Dynamic Obstacles (Veribot)Tue11/10
White paper20Star-lab White PaperThu10/22
Proposal80Star-lab ProposalFri11/20
Project100Star-lab Final ProjectThu12/10
Paper100Term PaperFri12/11
Slides0Slides and PresentationFri12/10
Sum860points listed

The Lab and Assignment Schedule is tentative!
Labs have a due date and time for Betabots (due at start of lecture/recitation) 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.