Nested weighted automata Conference Paper

Author(s): Chatterjee, Krishnendu; Henzinger, Thomas A; Otop, Jan
Title: Nested weighted automata
Affiliation IST Austria
Abstract: 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.
Keywords: Weighted automata; Model measuring; Limit-average value functions; Nested automata; Quantitative properties
Conference Title: LICS: Logic in Computer Science
Conference Dates: July 6-10, 2015
Conference Location: Kyoto, Japan
ISBN: 978-147998875-4
Publisher: IEEE  
Date Published: 2015-07-01
Start Page: 725
End Page: 737
DOI: 10.1109/LICS.2015.72
Notes: This research was funded in part by the European Research Council (ERC) under grant agreement 267989 (QUAREM), by the Austrian Science Fund (FWF) projects S11402-N23 (RiSE), Z211-N23 (Wittgenstein Award), FWF Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award. A Technical Report of the paper is available at:
Open access: yes (repository)
IST Austria Authors
  1. Thomas A. Henzinger
    415 Henzinger
  2. Jan Otop
    16 Otop
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