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  • Homotopy Type Theory: Univalent Foundations of Mathematics
    156 5.6 The general syntax of inductive definitions . . . . . . . . . . . . . . . . . . . . . . .
  • Proof Theory
    monotone Π0 1 –definable inductive definitions in Chapter 13 is an application of the analysis of (Π2–REF).
  • Gentzen's Centenary
    A Proof-Theoretic Analysis of Theories for Stratified Inductive Definitions .........................................................................
  • Theorem Proving in Higher Order Logics
    This work draws its theoretical and practical background from all the work done around inductive definitions in mathematics and computer based theorem proving tools.
  • Higher-Order Computability
    272 6.4.4 Kleene Computability via Inductive Definitions . . . . . . . . . . .
  • Interactive Theorem Proving
    This theorem is proved using induction defined by the scheme of the run-loop function and the two block-correct theorems for the run-next and run-last func- tions.
  • Concrete Semantics
    It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isa- belle’s structured proof language.
  • Algebra and Coalgebra in Computer Science
    A Categorical Semantics for Inductive- Inductive Definitions . . . . . . . . . . .
  • Handbook of Set Theory
    We now turn to the inductive definition .
  • Interactive Theorem Proving
    Every type is encoded using the constructs allowed by the system (primarily, inductive definitions ).


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