LTLf synthesis

Gold definitionUpdated Apr 2, 2026

Definition

LTLf synthesis involves automatically constructing a system that satisfies a given LTLf specification. When dealing with multiple, potentially conflicting properties, a symbolic algorithm can efficiently determine maximal realizable property sets and synthesize corresponding strategies.

At a glance

Executive summary

LTLf synthesis automatically builds systems that adhere to rules defined in a temporal logic. For situations with many potentially conflicting rules, a new symbolic algorithm efficiently identifies the maximum set of rules that can be satisfied and synthesizes a strategy to achieve them, significantly outperforming older methods.

TL;DR

LTLf synthesis automatically designs systems to meet complex, time-based rules, and a new method can handle many conflicting rules efficiently by finding the best possible compromise.

Key points

Employs a symbolic algorithm with Boolean goal variables and fixed-point computation to identify maximal realizable property sets.
Solves the problem of LTLf synthesis with multiple, potentially conflicting properties, avoiding exhaustive enumeration.
Used by researchers and engineers in formal methods, automated planning, robotics, and cyber-physical systems.
Outperforms enumeration-based baselines by orders of magnitude, offering a more scalable solution.
Focuses on scalability and robustness of formal synthesis methods for complex, real-world specifications.

Use cases

Robotics: Synthesizing control policies for robots that must navigate environments while satisfying multiple safety, liveness, and mission objectives.
Autonomous Driving: Designing decision-making modules for self-driving cars that balance conflicting goals like speed, comfort, and safety.
Cyber-Physical Systems: Generating controllers for smart grids or industrial control systems that manage energy flow under various operational constraints.
Software Verification and Repair: Automatically generating code or system configurations that satisfy a given set of temporal properties for reactive components.

Also known as

LTLf synthesis, LTL synthesis on finite traces, finite-trace LTL synthesis