Tagged Questions

2answers
55 views

Sequences and Languages

Let $U$ be the following language. A string $s$ is in $U$ if it can be written as: $s = 1^{a_1}01^{a_2}0 ... 1^{a_n}01^b$, where $a_1,..., a_n$ are positive integers such that there is a 0-1 ...
1answer
108 views

Function problem vs. decision problem

Take the set $FP$ of number-theoretic functions that are computable in polynomial time. Let us restrict to those functions with range in $\{0,1\}$, $FP_{0,1}$. Is there any correspondence with ...
1answer
275 views

Turing Machine Vs Linear Bounded Automata

Example of language accepted by Turing Machine but not by Linear Bounded Automata ? Is there any EXPSPACE language?
1answer
118 views

Minimal DFA satisfying a finite view of a language.

Say one has a language $L \subseteq \Sigma^*$, but one doesn't know what strings are actually part of the language. All one has is a finite view of the language: a finite set of strings \$A \subseteq ...
1answer
140 views

Regular expressions which first disagree after an exponential length

Problem 8.24 of Sipser's Introduction to the Theory of Computation asks: For each $n$, exhibit two regular expressions $R$ and $S$ of length $poly(n)$ where $L(R)\not =L(S)$, but where the first ...
3answers
254 views

How complicated is the set of tautologies?

Consider the set $\mathcal T$ of all tautologies in the propositional calculus in which the only operators allowed are $\to$ and $\neg$, and involving only the two variables $x$ and $y$. How ...
1answer
106 views

Reduction over intersection of languages

Given two languages $L1$ and $L2$, such that $L2$ is NP-Hard under polytime (many-one or Turing) reduction. Let $L=L1\cap L2$. 1- Is it true that if $L2$ is polytime (many-one or Turing) reducible to ...
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