On the Minimal Uncompletable Word Problem
نویسندگان
چکیده
Let S be a finite set of words such that Fact(S) 6= Σ. We deal with the problem of finding bounds on the minimal length of words in Σ \ Fact(S) in terms of the maximal length of words in S.
منابع مشابه
On Non-complete Sets and Restivo's Conjecture
A finite set S of words over the alphabet Σ is called noncomplete if Fact(S∗) 6= Σ∗. A word w ∈ Σ∗ \ Fact(S∗) is said to be uncompletable. We present a series of non-complete sets Sk whose minimal uncompletable words have length 5k − 17k+13, where k ≥ 4 is the maximal length of words in Sk. This is an infinite series of counterexamples to Restivo’s conjecture, which states that any non-complete...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1002.1928 شماره
صفحات -
تاریخ انتشار 2010