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Tagged with computer-science automata-theory
4 questions with no upvoted or accepted answers
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Does Frobenius number increase if bound on input increases?
The Frobenius number F is the largest number not expressible as a non-negative linear combination of some set of positive integers $\{a_i\}$, where, $a_i$ has gcd 1. Denote $maxF(n)$ as the maximum of ...
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What does homomorphism between languages mean to the correspoding Turing Machines?
According to the article: every c.e.language over $\Sigma^*$can be formed by homomorphism from a Dyck language over $\Sigma^{'}$ intersection with a minimal linear language over $\Sigma^{'}$ to the ...
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Schönhage's SMM with only one instruction
It is possible to implement $\lambda$-calculus in Schönhage's storage modification machine using an infinite set of nodes and one single program consisted exclusively of (about hundred) instructions ...
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Proof of conjecture that permutation-free automata restrict the possible states visitable from a stringset sharing prefixes and infixes
An automaton $\mathcal A = (X, Q, \delta, q_0)$ is called permutation-free iff no word $w \in X^*$ induces a nontrivial permutation of a subset of the states of $\mathcal A$. More formally for any $R \...