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Weak cost register automata are still powerful

Abstract:
We consider one of the weakest variants of cost register automata over a tropical semiring, namely copyless cost register automata over N with updates using min and increments. We show that this model can simulate, in some sense, counter machines with zero-tests.We deduce that a number of problems pertaining to that model are undecidable, in particular equivalence, disproving a conjecture of Alur et al. from 2012. To emphasize how weak these machines are, we also show that they can be simulated by a restricted form of linearly-ambiguous weighted automata.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-98654-8_7

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
ORCID:
0000-0001-9021-1175
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Role:
Author


Publisher:
Springer
Host title:
22nd International Conference on Developments in Language Theory (DLT 2018)
Journal:
22nd International Conference on Developments in Language Theory (DLT 2018) More from this journal
Publication date:
2018-08-05
Acceptance date:
2018-06-09
DOI:


Pubs id:
pubs:912165
UUID:
uuid:95aba65d-9ab1-412a-bf06-36bbba4b0e7e
Local pid:
pubs:912165
Source identifiers:
912165
Deposit date:
2018-09-06

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