Nested Weighted Automata

Recently there has been a significant effort to handle quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative properties, perhaps surprisingly, some basic system properties...

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Bibliographic Details
Published in:2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science pp. 725 - 737
Main Authors: Chatterjee, Krishnendu, Henzinger, Thomas A., Otop, Jan
Format: Conference Proceeding
Language:English
Published: IEEE 01.07.2015
Subjects:
Automata
Complexity theory
Limit-average value functions
Model measuring
Monitoring
Nested Automata
Quantitative properties
Robustness
Semantics
Time factors
Weighted Automata
ISSN:1043-6871
Online Access:Get full text
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Summary:Recently there has been a significant effort to handle quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative properties, perhaps surprisingly, some basic system properties such as average response time cannot be expressed using weighted automata, nor in any other know decidable formalism. In this work, we introduce nested weighted automata as a natural extension of weighted automata which makes it possible to express important quantitative properties such as average response time. In nested weighted automata, a master automaton spins off and collects results from weighted slave automata, each of which computes a quantity along a finite portion of an infinite word. Nested weighted automata can be viewed as the quantitative analogue of monitor automata, which are used in run-time verification. We establish an almost complete decidability picture for the basic decision problems about nested weighted automata, and illustrate their applicability in several domains. In particular, nested weighted automata can be used to decide average response time properties.
ISSN:1043-6871
DOI:10.1109/LICS.2015.72