Title
Emptiness of zero automata is decidable.
Abstract
Zero automata are a probabilistic extension of parity automata on infinite trees. The satisfiability of a certain probabilistic variant of MSO, called TMSO+zero, reduces to the emptiness problem for zero automata. We introduce a variant of zero automata called nonzero automata. We prove that for every zero automaton there is an equivalent nonzero automaton of quadratic sizeand the emptiness problem of nonzero automata is decidable, with complexity co-NP. These results imply that TMSO+zero has decidable satisfiability.
Year
Venue
DocType
2017
ICALP
Conference
Volume
Citations 
PageRank 
abs/1702.06858
2
0.40
References 
Authors
2
3
Name
Order
Citations
PageRank
Mikolaj Bojanczyk135235.99
Gimbert, H.253.21
Edon Kelmendi3205.34