Word.ws English Dictionary

deduction theorem

deduction theorem noun: a procedure for "discharging" assumptions from an inference, causing them to become antecedents of the conclusion; or vice versa. Symbolically, the conversion of an inference of the form P,A⊢C to an inference of the form P⊢A→C or vice versa, where ⊢ is the turnstile symbol. The validity of the procedure is a metatheorem of the given logical theory.

Noun

deduction theorem (plural deduction theorems)

  1. A procedure for "discharging" assumptions from an inference, causing them to become antecedents of the conclusion; or vice versa. Symbolically, the conversion of an inference of the form P,A⊢C to an inference of the form P⊢A→C or vice versa, where ⊢ is the turnstile symbol. The validity of the procedure is a metatheorem of the given logical theory.
    • The deduction theorem reveals the relationship between logical entailment and material implication: it allows to one to "pack" or "record" an inference into a tautology, and conversely, to "unpack" or "play back" a tautology as an inference process.

Forms of deduction theorem

pluraldeduction theorems

Questions about deduction theorem

What does deduction theorem mean?
Deduction theorem means a procedure for "discharging" assumptions from an inference, causing them to become antecedents of the conclusion; or vice versa. Symbolically, the conversion of an inference of the form P,A⊢C to an inference of the form P⊢A→C or vice versa, where ⊢ is the turnstile symbol. The validity of the procedure is a metatheorem of the given logical theory.
What part of speech is deduction theorem?
Deduction theorem is a noun.
What is the plural of deduction theorem?
The plural of deduction theorem is deduction theorems.

Words near deduction theorem in the dictionary

  1. deductibility
  2. deductible
  3. deductibles
  4. deducting
  5. deduction
  6. deduction theorem
  7. deduction theorems
  8. deductions
  9. deductive
  10. deductive closure
  11. deductive closures

Source and license

Adapted from Wiktionary: deduction theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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