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visits | member for | 2 years, 5 months |
seen | yesterday | |
stats | profile views | 228 |
Jul 15 |
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An extension of the real semiring with multiple degrees of infinity
It is not exactly the same framework, but maybe you will be interested in this: computer.org/csdl/proceedings/lics/2013/5020/00/… It is also related with weighted automata and different orders of "infinity" |
Jul 2 |
awarded | Curious |
May 14 |
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Is it possible to classify all the inequivalent classes of first order sentence with quantifier rank fixed
See this question: math.stackexchange.com/questions/773942/… |
May 13 |
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Two sets of strings resulted from a set represented by binary and decimal code are in the same class of languages?
To detail the answer of Benjamin Steinberg: you have a transducer (i.e. an finite-state machine) that can change between binary and decimal representation. All the classes of languages you mentioned are preserved by applying a transducer, so the answer to your question is yes. |
Apr 6 |
awarded | Popular Question |
Mar 29 |
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Convergence of iterated stochastic matrices
I don't get the first line of your answer. Why the $n^{th}$ powers of the matrices $M_n$ would form a subsequence? It seems to be plain wrong, for instance for $1\times 1$ size, the constant sequence $1/2$ converges to $M=1/2$, but $1/2^n\to 0$ and $M\neq 0$. |
Feb 20 |
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How do you prove that a subset of L is regular is L is regular?
in fact I cannot delete because it's accepted... |
Feb 20 |
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How do you prove that a subset of L is regular is L is regular?
@BenjaminSteinberg ok I'll adopt this behaviour in the future, and delete the answer here. |
Feb 20 |
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How do you prove that a subset of L is regular is L is regular?
@BenjaminSteinberg I thought it would be migrated to math.se together with my answer, I don't have the power to do so.. |
Feb 20 |
revised |
How do you prove that a subset of L is regular is L is regular?
added 390 characters in body |
Feb 20 |
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How do you prove that a subset of L is regular is L is regular?
Ok I will edit the answer more precisely. |
Feb 20 |
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How do you prove that a subset of L is regular is L is regular?
This construction works in general, for any regular $L$. |
Feb 20 |
answered | How do you prove that a subset of L is regular is L is regular? |
Feb 18 |
comment |
Proof of conjecture that permutation-free automata restrict the possible states visitable from a stringset sharing prefixes and infixes
It seems $R=\{q_0\}$ and $k=1$ yields easy counter-examples. |
Feb 18 |
answered | Separating infinite words sharing factors by automata |
Feb 4 |
answered | Transfinite induction vs induction in mathematics |
Feb 1 |
awarded | Yearling |
Jan 26 |
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Are algebraic structures uniquely identifed by their free objects?
thanks this is useful. So in this case how do you show that the free object indeed has the universal property? |
Jan 26 |
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Are algebraic structures uniquely identifed by their free objects?
@AndrejBauer the plan was to take for $x^\omega$ all the identities that are true for the idempotent power in finite structures (axioms (A')), and maybe additionally (A) |
Jan 26 |
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Are algebraic structures uniquely identifed by their free objects?
@ToddTrimble It is probably what I'm looking for, but I'm not very familiar with category theory. If I understand your comment, you are saying that having a free object is given almost for free according to category theory, as long as you are a monad. I tried to understand what a monad is on wikipedia, but it seems circular, because it looks like it is the structures having free objects... Also you mention varieties, but here it's not a variety, because axioms are not restricted to identities. |