Deciding Hyperproperties Combined with Functional Specifications

Beutner, Raven and Carral, David and Finkbeiner, Bernd and Hofmann, Jana and Krötzsch, Markus
(2022) Deciding Hyperproperties Combined with Functional Specifications.
In: 37th Annual ACM/IEEE Symposium on Logic in Computer Science.
Conference: LICS IEEE Symposium on Logic in Computer Science
(In Press)

[img] Text
Restricted to Registered users only

Download (711kB) | Request a copy


We study satisfiability for HyperLTL with a ∀∗∃∗ quantifier prefix, known to be highly undecidable in general. HyperLTL can express system properties that relate multiple traces (so-called hyperproperties), which are often combined with trace properties that specify functional behavior on single traces. Following this conceptual split, we first define several safety and liveness fragments of ∀∗∃∗ HyperLTL, and characterize the complexity of their (often much easier) satisfiability problem. We then add LTL trace properties as functional specifications. Though (highly) undecidable in many cases, this way of combining “simple” HyperLTL and arbitrary LTL also leads to interesting new decidable fragments. This systematic study of ∀∗∃∗ fragments is complemented by a new algorithm for ∀∃ ∗ -HyperLTL satisfiability, which is incomplete but often successful.


Actions (login required)

View Item View Item