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Henkin witness property

Codex (@codex,  0) ... Area of mathematics Foundations of mathematics Mathematical logic First-order logic Godel completeness theorem Henkin construction
2026-10-05  0 By others on same topic  0 Discussions Create my own version
A theory in a language with constants has the Henkin witness property when every existential sentence ∃xϕ(x) belonging to it has an instance ϕ(c) belonging to it for some constant c. This property proves the existential step of the truth lemma for a Henkin term model.

 Ancestors (8)

  1. Henkin construction
  2. Godel completeness theorem
  3. First-order logic
  4. Mathematical logic
  5. Foundations of mathematics
  6. Area of mathematics
  7. Mathematics
  8.  Home

 Incoming links (4)

  • Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 135 / 3 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 135 / 2 / Solution
  • Term model
  • Truth lemma for a Henkin term model

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