Let $X,Y$ be algorithms that accept an ordered set of positive integers as input.
What are examples of $X$ halts if and only if $Y$ does not halt ?
Im aware that the general halting problem is undecidable.
2026-03-29 08:18:28.1774772308
Examples of $X$ halts IFF $Y$ does not halt?
40 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in ALGORITHMS
- Least Absolute Deviation (LAD) Line Fitting / Regression
- Do these special substring sets form a matroid?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Correct way to prove Big O statement
- Product of sums of all subsets mod $k$?
- (logn)^(logn) = n^(log10+logn). WHY?
- Clarificaiton on barycentric coordinates
- Minimum number of moves to make all elements of the sequence zero.
- Translation of the work of Gauss where the fast Fourier transform algorithm first appeared
- sources about SVD complexity
Related Questions in EXAMPLES-COUNTEREXAMPLES
- A congruence with the Euler's totient function and sum of divisors function
- Seeking an example of Schwartz function $f$ such that $ \int_{\bf R}\left|\frac{f(x-y)}{y}\right|\ dy=\infty$
- Inner Product Uniqueness
- Metric on a linear space is induced by norm if and only if the metric is homogeneous and translation invariant
- Why do I need boundedness for a a closed subset of $\mathbb{R}$ to have a maximum?
- A congruence with the Euler's totient function and number of divisors function
- Analysis Counterexamples
- A congruence involving Mersenne numbers
- If $\|\ f \|\ = \max_{|x|=1} |f(x)|$ then is $\|\ f \|\ \|\ f^{-1}\|\ = 1$ for all $f\in \mathcal{L}(\mathbb{R}^m,\mathbb{R}^n)$?
- Unbounded Feasible Region
Related Questions in STOPPING-TIMES
- Need to find Conditions to get a (sub-)martingale
- What techniques for proving that a stopping time is finite almost surely?
- Discrete martingale stopping time
- Optional Stopping Theorem for martingales
- Prove that stopped discrete time nonnegative supermartingales are uniformly integrable
- optimal strategy for drawing a deck of cards
- $\frac1n \sum_{i=1}^n W_i(T_i)\to 0$ a.s. for $n\to\infty$
- Brownian Motion Hitting Time of a line with a negative axis intercept
- Random walk with barriers: estimate time since the appearance of a barrier
- Generalizing a proof for the density of stopped subordinators
Related Questions in TURING-MACHINES
- Has the effort to confirm $\Sigma(5)$ and the search for new champions with $6$ states been stopped?
- Pop-up cards Turing complete?
- How does a cellular automaton "know" when to halt?
- Is the halting problem also undecideable for turing machines always writing a $1$ on the tape?
- Proof of "Extension" for Rice's Theorem
- Do we need enumeration to find the maximal number of steps a special Turing machine can make?
- Deciding wether a language is regular, in the arithmetic hierarchy
- Can a machine exist making more steps than the current record, which is no busy beaver?
- Can the halting problem for bounded Turing machines be efficiently decided?
- Can we efficiently determine the function $f(n,s)$?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Take any problem that is known to be decidable, i.e. a statement $S(s)$ depending on the input $s$ such that it is known that for every $s$, either $S(s)$ or $\neg S(s)$ is provable (in a given consistent formal system). Let $X$ search all finite sequences of statements of the system for proofs of $S(s)$, halting if it finds one, and similarly let $Y$ search for proofs of $\neg S(s)$, halting if it finds one.