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user 141242
3
votes
1
answer
217
views
Is there a two-dimensional Higman's lemma?
A string over a finite alphabet $A$ can be thought of as a function
$f:\{1,2,...,m\} \rightarrow A$ for some natural number $m$.
A 2-Dim string over $A$ is a function $f$ where
$f:\{1,2,\ldots,m\}\tim …
2
votes
1
answer
118
views
A second attempt at a two-dimensional Higman's Lemma
Let $A$ be a fixed finite alphabet.
If $s$ and $t$ are finite strings over $A$, define $s\leq t$ if $s$ can be obtained by deleting zero or more characters from $t$. Higman's Lemma states that if $s_1 …