KIT: Logical Foundations of Cyber-Physical Systems (Wi'22)

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

Schedule

Date		Lecture Notes	Ch	Extra
Mon	24.10.	Cyber-physical systems: introduction	1	(▶) (⊞)
Thu	27.10.	Differential equations & domains	2	(▶) (⊞)
Mon	31.10.	Choice & control	3	(▶) (⊞)
Thu	03.11.	Ü: Modeling cyber-physical systems
Mon	07.11.	Safety & contracts	4	(▶) (⊞)
Thu	10.11.	Dynamical systems & dynamic axioms	5	(▶) (⊞) code
Mon	14.11.	Truth & proof	6	(▶) (⊞)
Thu	17.11.	Control loops & invariants	7	(▶) (⊞) code
Mon	21.11.	Ü: Verifying cyber-physical systems
Thu	24.11.	Ü: Verifying CPS with KeYmaera X		code
Mon	28.11.	Differential equations & differential invariants	10	(▶) (⊞) code
Thu	01.12.	Differential equations & proofs	11	(▶) (⊞) code
Mon	05.12.	Ghosts & differential ghosts	12	(▶) (⊞) code
Thu	08.12.	Ü: Proving unsolvable differential equations		code
Mon	12.12.	Hybrid systems & games	14	(▶) (⊞)
Thu	15.12.	Winning strategies & regions	15	(▶) (⊞)
Mon	19.12.	Winning & proving hybrid games	16	(▶) (⊞) code
Thu	22.12.	Ü: Winning and proving hybrid games		code
Mon	09.01.	Axioms & uniform substitutions	18	(▶) (⊞) more
Thu	12.01.	Verified models & verified runtime validation	19	(▶) (⊞)
Mon	16.01.	Virtual substitution & real equations	20	(▶) (⊞) FM'21
Thu	19.01.	Virtual substitution & real arithmetic	21	(▶) (⊞)  CH, extra
Mon	23.01.	Ü: Comprehensive CPS correctness		code
Thu	26.01.	AI for verification & verification for AI		(⊞) AAAI'18,NeurIPS'22
Mon	30.01.	Hybrid systems & continuous completeness		(⊞) LICS'12,JAR'17
Thu	02.02.	Hybrid systems & discrete completeness		(⊞) LICS'12,JAR'17
Mon	06.02.	Differential equations & completeness		(▶) (⊞) JACM'20
Thu	09.02.	Ü: Complete considerations in CPS
Mon	13.02.	Distributed systems & hybrid systems		(⊞) LMCS'12
Thu	16.02.	Ü: Outlook and preparation
Thu	09.03.	Exam: 10:00-12:00, 10.11 Hertz-Hörsaal

The lecture schedule is tentative!

The chapter numbers indicated above refer to the following textbook:

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]