Linear Temporal Logic - From Infinite to Finite Horizon

Explore the evolution and applications of Linear Temporal Logic (LTL) in this insightful lecture by Moshe Vardi from Rice University. Delve into the origins of LTL, proposed by Amir Pnueli in 1977 for reasoning about ongoing programs, and its initial focus on infinite traces to model arbitrarily long computations. Examine the challenges faced in reactive synthesis due to the complex algorithms required for infinite-horizon temporal synthesis. Discover the advantages of finite-horizon temporal synthesis and how it compensates for the loss in expressiveness. Learn about the unexpected benefits of finite-horizon reasoning even in infinite-horizon applications, providing a fresh perspective on LTL's practical implementation in model checking and system synthesis.

Linear Temporal Logic: From Infinite to Finite Horizon