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Weighted finite automata (WFA) are used with accelerating hardware to scan large genomic banks. Hardwiring such automata raise surface area and clock frequency constraints, requiring efficient epsilon-transitions removal techniques. In this paper, we present new bounds on the number of new transitions for several epsilon-transitions removal problems. We study the case of acyclic WFA. We introduce a new problem, the partial removal of epsilon-transitions while accepting short chains of epsilon-transitions

Path-Equivalent Removals of ε-transitions in a Genomic Weighted Finite Automaton