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  • We introduce two essentially undecidable first-order theories [Formula: see text] and [Formula: see text]. The intended model for the theories is a term model. We prove that [Formula: see text] is mutually interpretable with Robinson’s [Formula: see text]. Moreover, we prove that Robinson’s [Formula: see text] is interpretable in [Formula: see text].
Subject
  • Interpretation
  • Model theory
  • Concepts in logic
  • Philosophy of language
  • Mathematical logic
  • Formal languages
  • Metalogic
  • Semantics
  • Philosophy of mind
  • Systems of formal logic
  • Interpretation (philosophy)
  • Proof theory
  • Predicate logic
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