---
res:
bibo_abstract:
- ' While weighted automata provide a natural framework to express quantitative
properties, many basic properties like average response time cannot be expressed
with weighted automata. Nested weighted automata extend weighted automata and
consist of a master automaton and a set of slave automata that are invoked by
the master automaton. Nested weighted automata are strictly more expressive than
weighted automata (e.g., average response time can be expressed with nested weighted
automata), but the basic decision questions have higher complexity (e.g., for
deterministic automata, the emptiness question for nested weighted automata is
PSPACE-hard, whereas the corresponding complexity for weighted automata is PTIME).
We consider a natural subclass of nested weighted automata where at any point
at most a bounded number k of slave automata can be active. We focus on automata
whose master value function is the limit average. We show that these nested weighted
automata with bounded width are strictly more expressive than weighted automata
(e.g., average response time with no overlapping requests can be expressed with
bound k=1, but not with non-nested weighted automata). We show that the complexity
of the basic decision problems (i.e., emptiness and universality) for the subclass
with k constant matches the complexity for weighted automata. Moreover, when k
is part of the input given in unary we establish PSPACE-completeness.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Krishnendu
foaf_name: Chatterjee, Krishnendu
foaf_surname: Chatterjee
foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-4561-241X
- foaf_Person:
foaf_givenName: Thomas A
foaf_name: Henzinger, Thomas A
foaf_surname: Henzinger
foaf_workInfoHomepage: http://www.librecat.org/personId=40876CD8-F248-11E8-B48F-1D18A9856A87
orcid: 0000−0002−2985−7724
- foaf_Person:
foaf_givenName: Jan
foaf_name: Otop, Jan
foaf_surname: Otop
foaf_workInfoHomepage: http://www.librecat.org/personId=2FC5DA74-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.4230/LIPIcs.MFCS.2016.24
bibo_volume: 58
dct_date: 2016^xs_gYear
dct_language: eng
dct_publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik@
dct_title: Nested weighted limit-average automata of bounded width@
...