reducible

English

Etymology

Etymology tree

English reduce

Proto-Indo-European *-dʰlom

Proto-Italic *-ðlom

Proto-Italic *-ðlis

Latin -bilis

Latin -ibilis

Old French -ibleder.

Middle English -ible

English -ible

English reducible

From reduce + -ible.

Pronunciation

• Audio (US):

  (file)

Adjective

reducible (comparative more reducible, superlative most reducible)

1. Capable of being reduced.
2. (mathematics, of a polynomial) Able to be factored into polynomials of lower degree, as $x^2-1$.
3. (mathematics, of an integer) Able to be factored into smaller integers; composite.
4. (topology, of a manifold) Containing a sphere of codimension 1 that is not the boundary of a ball.

Antonyms

• irreducible
• increasable

Derived terms

• autoreducible
• bioreducible
• interreducible
• Karp-reducible
• many-one reducible
• nonreducible
• one-one reducible
• reducibility
• reducibleness
• reducibly
• unreducible

Translations

capable of being reduced

• Catalan: reductible
• Hungarian: csökkenthető (hu), egyszerűsíthető (hu)
• Italian: riducibile (it)
• Japanese: 減らせる (heraseru)
• Manx: yn-leodaghey
• Portuguese: reduzível, redutível (pt)
• Romanian: reductibil (ro), micșorabil, diminuabil
• Serbo-Croatian:

  Cyrillic: сво̀дљив

  Latin: svòdljiv (sh)

• Spanish: reducible (es), reductible (es)

able to be factored into polynomials of lower degree

• Esperanto: reduktebla
• French: réductible (fr)
• Japanese: 可約の (ja) (kayaku no)
• Portuguese: fatorizável
• Spanish: reducible (es)

able to be factored into smaller integers; composite

• Japanese: 可約の (ja) (kayaku no)

containing a sphere of codimension 1 that is not the boundary of a ball

Spanish

Etymology

Etymology tree

Spanish reducir

Proto-Indo-European *-dʰlom

Proto-Italic *-ðlom

Proto-Italic *-ðlis

Latin -bilis

Latin -ibilis

Spanish -ible

Spanish reducible

From reducir + -ible.

Pronunciation

• IPA^(key): /reduˈθible/ [re.ð̞uˈθi.β̞le] (Equatorial Guinea, Spain)
• IPA^(key): /reduˈsible/ [re.ð̞uˈsi.β̞le] (Latin America, Philippines)
• Rhymes: -ible
• Syllabification: re‧du‧ci‧ble

Adjective

reducible m or f (masculine and feminine plural reducibles)

1. reducible

   Antonym: irreducible

Further reading

• “reducible”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.8.1, Royal Spanish Academy [Spanish: Real Academia Española], 15 December 2025