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  • [2204. 13417] Skolem Meets Schanuel - arXiv. org
    The main contribution of this paper is an algorithm to solve the Skolem Problem for simple linear recurrence sequences (those with simple characteristic roots) Whenever the algorithm terminates, it produces a stand-alone certificate that its output is correct -- a set of zeros together with a collection of witnesses that no further zeros exist
  • Skolem Meets Schanuel - The University of Liverpool Repository
    The main contribution of this paper is an algorithm to solve the Skolem Problem for simple linear recurrence sequences (those with simple characteristic roots) Whenever the algorithm terminates, it produces a stand-alone certificate that its output is correct - a set of zeros together with a collection of witnesses that no further zeros exist
  • Skolem Meets Schanuel - Max Planck Institute for Software Systems
    The main contribution of this paper is an algorithm to solve the Skolem Problem for simple linear recurrence sequences (those with simple characteristic roots) Whenever the algorithm terminates, it produces a stand-alone certificate that its output is correct—a set of zeros together with a collection of witnesses that no further zeros exist
  • Skolem Meets Schanuel - Internet Archive Scholar
    The file type is application pdf The celebrated Skolem-Mahler-Lech Theorem states that the set of zeros of a linear recurrence sequence is the union of a finite set and finitely many arithmetic progressions The corresponding computational question, the Skolem Problem, asks to determine whether a given linear recurrence sequence has a zero term
  • Skolem Meets Schanuel :: MPG. PuRe
    sequences (those with simple characteristic roots) Whenever the algorithm terminates, it produces a stand-alone certificate that its output is correct -- a set of zeros together with a collection of witnesses that no further zeros
  • On Large Zeros of Linear Recurrence Sequences
    The Skolem Problem asks to determine whether a given integer linear recurrence sequence (LRS) has a zero term This problem, whose decidability has been open for many decades, arises across a wide range of topics in computer science, including loop termination, formal languages, automata theory, and probabilistic model checking, amongst many
  • Joël Ouaknine: Skolem meets Schanuel
    The main contribution of this paper is an algorithm to solve the Skolem Problem for simple linear recurrence sequences (those with simple characteristic roots) Whenever the algorithm terminates, it produces a stand-alone certificate that its output is correct -- a set of zeros together with a collection of witnesses that no further zeros exist
  • Completing the Picture for the Skolem Problem on Order-4 Linear . . .
    Abstract For almost a century, the decidability of the Skolem Problem, that is, the problem of determining whether a given linear recurrence sequence (LRS) has a zero term, has remained open A breakthrough in the 1980s established that the Skolem Problem is decidable for algebraic LRS of order at most 3, and real algebraic LRS of order at most 4
  • CompletingthePicturefortheSkolemProblemon Order . . .
    CompletingthePicturefortheSkolemProblemon Order-4LinearRecurrenceSequences Completing the Picture for the Skolem Problem on Order-4 Linear Recurrence Sequences
  • Effective results on the Skolem Problem for linear recurrence sequences
    In this paper, given a simple linear recurrence sequence of algebraic numbers, which has either a dominant characteristic root or exactly two characteristic roots of maximal modulus, we give some explicit lower bounds for the index beyond which every term of the sequence is non-zero It turns out that this case covers almost all such sequences whose coefficients are rational numbers
  • Completing the Picture for the Skolem Problem on Order-4 Linear . . .
    Abstract For almost a century, the decidability of the Skolem Problem, that is, the problem of determining whether a given linear recurrence sequence (LRS) has a zero term, has remained open A breakthrough in the 1980s established that the Skolem Problem is decidable for algebraic LRS of order at most 3, and real algebraic LRS of order at most 4





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