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New for: D1

What and Who

Fine-Grained Complexity of Ambiguity Problems on Automata

Anita Dürr
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Tuesday, 29 April 2025
13:00
60 Minutes
E1 4
024
Saarbrücken

Abstract

Two fundamental classes of finite automata are deterministic and nondeterministic ones (DFAs and NFAs). Natural intermediate classes arise from bounds on an NFA's allowed ambiguity, i.e. number of accepting runs per word: unambiguous, finitely ambiguous, and polynomially ambiguous finite automata. It is known that deciding whether a given NFA is unambiguous and whether it is polynomially ambiguous is possible in quadratic time, and deciding finite ambiguity is possible in cubic time. We provide matching lower bounds showing these running times to be optimal, assuming popular fine-grained complexity hypotheses.

Contact

Nidhi Rathi
+49 681 9325 1134
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Virtual Meeting Details

Zoom
649 2184 1396
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Nidhi Rathi, 04/29/2025 12:18
Nidhi Rathi, 04/28/2025 13:54
Nidhi Rathi, 03/24/2025 11:32 -- Created document.