---
_id: '711'
abstract:
- lang: eng
text: Nested weighted automata (NWA) present a robust and convenient automata-theoretic
formalism for quantitative specifications. Previous works have considered NWA
that processed input words only in the forward direction. It is natural to allow
the automata to process input words backwards as well, for example, to measure
the maximal or average time between a response and the preceding request. We therefore
introduce and study bidirectional NWA that can process input words in both directions.
First, we show that bidirectional NWA can express interesting quantitative properties
that are not expressible by forward-only NWA. Second, for the fundamental decision
problems of emptiness and universality, we establish decidability and complexity
results for the new framework which match the best-known results for the special
case of forward-only NWA. Thus, for NWA, the increased expressiveness of bidirectionality
is achieved at no additional computational complexity. This is in stark contrast
to the unweighted case, where bidirectional finite automata are no more expressive
but exponentially more succinct than their forward-only counterparts.
alternative_title:
- LIPIcs
article_number: '5'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
last_name: Otop
citation:
ama: 'Chatterjee K, Henzinger TA, Otop J. Bidirectional nested weighted automata.
In: Vol 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.CONCUR.2017.5'
apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2017). Bidirectional nested
weighted automata (Vol. 85). Presented at the 28th International Conference on
Concurrency Theory, CONCUR, Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2017.5'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Bidirectional
Nested Weighted Automata,” Vol. 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2017. https://doi.org/10.4230/LIPIcs.CONCUR.2017.5.
ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Bidirectional nested weighted
automata,” presented at the 28th International Conference on Concurrency Theory,
CONCUR, Berlin, Germany, 2017, vol. 85.
ista: Chatterjee K, Henzinger TA, Otop J. 2017. Bidirectional nested weighted automata.
28th International Conference on Concurrency Theory, CONCUR, LIPIcs, vol. 85,
5.
mla: Chatterjee, Krishnendu, et al. Bidirectional Nested Weighted Automata.
Vol. 85, 5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.CONCUR.2017.5.
short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2017.
conference:
end_date: 2017-09-08
location: Berlin, Germany
name: 28th International Conference on Concurrency Theory, CONCUR
start_date: 2017-09-05
date_created: 2018-12-11T11:48:04Z
date_published: 2017-08-01T00:00:00Z
date_updated: 2021-01-12T08:11:53Z
day: '01'
ddc:
- '004'
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2017.5
file:
- access_level: open_access
checksum: d2bda4783821a6358333fe27f11f4737
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:08:02Z
date_updated: 2020-07-14T12:47:49Z
file_id: '4661'
file_name: IST-2017-886-v1+1_LIPIcs-CONCUR-2017-5.pdf
file_size: 570294
relation: main_file
file_date_updated: 2020-07-14T12:47:49Z
has_accepted_license: '1'
intvolume: ' 85'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication_identifier:
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '6976'
pubrep_id: '886'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bidirectional nested weighted automata
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 85
year: '2017'
...