Prove or Disprove The set of all finite strings is undecidable. The set of all finite...

Prove or Disprove

The set of all finite strings is undecidable.
The set of all finite strings is recognizable

Expert Solution

thanks...stay blessed...thumbsup will be appreciated

venereology answered 1 year ago

Design an FA (Finite automaton) and RE to accept the set of all strings over the...

Design an FA (Finite automaton) and RE to accept the set of all strings over the alphabet {0,1} which contains even number of 0's and odd number of 1's.

Recall that the set {0,1}∗ is the set of all finite-length binary strings. Let f:{0,1}∗→{0,1}∗ to...

Recall that the set {0,1}∗ is the set of all finite-length binary strings. Let f:{0,1}∗→{0,1}∗ to be f(x1x2…xk)=x2x3…xkx1. That is, f takes the first bit of a string x and moves it to the end of x, so for example a string 100becomes 001; if |x|≤1, then f(x)=x Also, suppose that g:{0,1}∗→{0,1}∗ is a function such that g(x1…xk)=0x1…xk (that is, gg puts an extra 0 in front of the given string, so for example g(100)=0100. Everywhere in this question we...

Prove that a subset of a countably infinite set is finite or countably infinite

Study these definitions and prove or disprove the claims. (In all cases, n ∈ N.) Definition....

Study these definitions and prove or disprove the claims. (In all cases, n ∈ N.) Definition. f(n)→∞ifforanyC>0,thereisnC suchthatforalln≥nC,f(n)≥C.Definition. f(n)→aifforanyε>0,thereisnε suchthatforalln≥nε,|f(n)−a|≤ε. (a) f(n)=(2n2 +3)/(n+1). (i)f(n)→∞. (ii)f(n)→1. (iii)f(n)→2. (b) f(n)=(n+3)/(n+1). (i)f(n)→∞. (ii)f(n)→1. (iii)f(n)→2. (c) f(n) = nsin2(1nπ). (i) f(n) → ∞. (ii) f(n) → 1. (iii) f(n) → 2.

Using only membership tables (i.e., without Venn diagrams or set identities), prove or disprove that (?...

Using only membership tables (i.e., without Venn diagrams or set identities), prove or disprove that (? − ?) ∪ (? − ?) and ((? − ?̅) − ?) ∪ (? ∩ ?̅) ∪ (? − (? ∪ ?)) are equivalent. Ensure that you fill the table completely, even if you are disproving this equivalence, and do not skip any columns.

Let X be the set of all subsets of R whose complement is a finite set...

Let X be the set of all subsets of R whose complement is a finite set in R: X = {O ⊂ R | R − O is finite} ∪ {∅} a) Show that T is a topological structure no R. b) Prove that (R, X) is connected. c) Prove that (R, X) is compact.

Prove or disprove if B is a proper subset of A and there is a bijection...

Prove or disprove if B is a proper subset of A and there is a bijection from A to B then A is infinite

Prove or disprove that the union of two subspaces is a subspace. If it is not...

Prove or disprove that the union of two subspaces is a subspace. If it is not true, what is the smallest subspace containing the union of the two subspaces.

Prove that in a mixed strategy Nash equilibrium of a finite strategic game, all the pure...

Prove that in a mixed strategy Nash equilibrium of a finite strategic game, all the pure strategies that are assigned positive probabilities must have the same expected payoff.

Prove or disprove the statements: (a) If x is a real number such that |x +...

Prove or disprove the statements: (a) If x is a real number such that |x + 2| + |x| ≤ 1, then x 2 + 2x − 1 ≤ 2. (b) If x is a real number such that |x + 2| + |x| ≤ 2, then x 2 + 2x − 1 ≤ 2. (c) If x is a real number such that |x + 2| + |x| ≤ 3, then x 2 + 2x − 1 ≤ 2....

Question