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Polynomial-time equivalence testing for deterministic fresh-register automata

Abstract:
Register automata are one of the most studied automata models over infinite alphabets. The complexity of language equivalence for register automata is quite subtle. In general, the problem is undecidable but, in the deterministic case, it is known to be decidable and in NP. Here we propose a polynomial-time algorithm building upon automata- and group-theoretic techniques. The algorithm is applicable to standard register automata with a fixed number of registers as well as their variants with a variable number of registers and ability to generate fresh data values (fresh-register automata). To complement our findings, we also investigate the associated inclusion problem and show that it is PSPACE-complete.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.MFCS.2018.72

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
Worcester College
Role:
Author


Publisher:
Schloss Dagstuhl
Host title:
43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018)
Journal:
43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018) More from this journal
Publication date:
2018-08-20
Acceptance date:
2018-06-13
DOI:


Keywords:
Pubs id:
pubs:892038
UUID:
uuid:8af29e8a-5542-405f-8bd0-beee16dc481e
Local pid:
pubs:892038
Source identifiers:
892038
Deposit date:
2018-08-01

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