Automatic Theorem-Proving in Combinatorics on Words

We describe a technique for mechanically proving certain kinds of theorems in combinatorics on words, using automata and a package for manipulating them. We illustrate our technique by solving, purely mechanically, an open problem of Currie and Saari on the lengths of unbordered factors in the Thue-...

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Hauptverfasser: Henshall, Dane, Shallit, Jeffrey
Format: Artikel
Sprache:eng
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Zusammenfassung:We describe a technique for mechanically proving certain kinds of theorems in combinatorics on words, using automata and a package for manipulating them. We illustrate our technique by solving, purely mechanically, an open problem of Currie and Saari on the lengths of unbordered factors in the Thue-Morse sequence.
DOI:10.48550/arxiv.1203.3758