Undecidable vs Zeno - What's the difference?

undecidable | zeno | Hypernyms |

Undecidable is a hypernym of zeno.


As adjectives the difference between undecidable and zeno

is that undecidable is (mathematics|computing theory) incapable of being algorithmically decided in finite time for example, a set of strings is undecidable if it is impossible to program a computer (even one with infinite memory) to determine whether or not specified strings are included while zeno is requiring or involving an infinite number of intervals within a finite time.

As a proper noun zeno is

.

undecidable

English

Adjective

(-)
  • (mathematics, computing theory) Incapable of being algorithmically decided in finite time. For example, a set of strings is undecidable if it is impossible to program a computer (even one with infinite memory) to determine whether or not specified strings are included.
  • *
  • The first-order procedure SP differs from the proposi-
    tional procedure CP°1 in an essential feature. Namely, CP°1
    always terminates while SP may run forever as we have seen with
    the example immediately after (3.7). This is not a specific
    defect of SP. Rather it is known that first-order logic is an
    undecidable' theory while propositional logic is a '''decidable'''
    theory. This means that for the latter there are '''decision pro-
    cedures''' which for any formula decide whether it is valid or
    not — and CP°1 in fact is such a decision procedure — while
    for the former such decision procedures do not exist in princi-
    ple. Thus SP, according to these results for which the reader
    is referred to any logic texts such as [End], [DrG] or [Lew],
    is of the kind which we may expect, it is a '''semi-decision'''
    '
    procedure
    which confirms if a formula is valid but may run
    forever for invalid formulas. Therefore, termination by running
    out of time or space after any finite number of steps will
    leave the question for the validity of a formula unsettled. [...]
  • (mathematics) (of a WFF'') logically independent from the axioms of a given theory; i.e., that it can ''never'' be either proved or disproved (i.e., have its negation proved) on the basis of the axioms of the given theory. (''Note: this latter definition is independent of any time bounds or computability issues, i.e., more Platonic.)
  • Antonyms

    * decidable

    zeno

    English

    (wikipedia Zeno)

    Proper noun

    (en proper noun)
  • .
  • Usage notes

    * In English mainly applied to historical persons of Greece.

    Adjective

    (-)
  • Requiring or involving an infinite number of intervals within a finite time.
  • *
  • *
  • *
  • Hypernyms

    * undecidable, noncomputable

    Anagrams

    *