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This problem was studied in the following paper. Abdol-Hossein Esfahanian, S.Louis Hakimi, On computing a conditional edge-connectivity of a graph, Information Processing Letters, Volume 27, Issue 4, 1988, Pages 195-199, ISSN 0020-0190, http://dx.doi.org/10.1016/0020-0190(88)90025-7. The idea is identical to Saeed's method, contract pairs of edges and ...


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I'll try to show this, hope I interpreted the question correctly. Let $A_k=\{0,1\}^k.$ If $f(n)\leq n+\log n$ for $n$ large enough this implies $$\max\{\ell(c(x)):x \in A_1 \cup A_2\cup \ldots \cup A_k \}\leq k+ \log k,$$ for $k\geq N$, for some finite $N$, where $\ell(c(x))$ is the length of the codeword $c(x)$ assigned to $x.$ So this means that $$ ...


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Ricardo Poli developed a GP-specific analog of Holland's Schema Theorem: link


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In Extending Type Theory with Forcing by Guilhem Jaber, Nicolas Tabareau and Matthieu Sozeau, 2012, intuitionistic forcing is presented as an internalization of the presheaf construction, implemented as a type-preserving translation in the style of Bernardy and Lasson's parametricity translation. This means that you can define terms in your usual type ...


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The first paper by Rabin (1963) gives the basics what you are looking for. The class of languages recognized by probabilistic automata (with cutpoint) is called stochastic languages. Let $P$ be a probabilistic automaton defined on the alphabet $ \Sigma $ and $ f_P(w) $ be the accepting probability of $ P $ on the input $ w \in \Sigma^* $. Then, $P$ with ...


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If you're going to work only in the internal language then you can just use a proof assistant. There is a minor technicality of having or not having powersets, since proof assistants are typically type theories, but Coq's Prop is consistent with an interpretation of Coq in a topos. You're suggesting however to use the machine as a sort of translation tool ...


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You can check the recent survey by Ambainis and Yakaryilmaz: Automata and Quantum Computing. It is comprehensive and points the essential literature with some open questions. Moreover, here is a list of papers published on quantum automata until 2015.


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There are two loanable copies at The National Library of Israel. Here is a scanned copy.



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