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give equal credit to several originators of inductive schemas #1164

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give equal credit to several originators of inductive schemas #1164

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4 changes: 2 additions & 2 deletions induction.tex
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Expand Up @@ -1264,8 +1264,8 @@ \section{Identity types and identity systems}
In type theory, particular cases of inductive definitions date back to Martin-L\"of's original papers: \cite{martin-lof-hauptsatz} presents a general notion of inductively defined predicates and relations; the notion of inductive type was present (but only with instances, not as a general notion) in Martin-L\"of's first papers in type theory \cite{Martin-Lof-1973};
and then as a general notion with $\w$-types in \cite{Martin-Lof-1979}.\index{Martin-L\"of}%

A general notion of inductive type was introduced in 1985 by Constable and Mendler~\cite{DBLP:conf/lop/ConstableM85}. A general schema for inductive types in intensional type theory was suggested in
\cite{PfenningPaulinMohring}. Further developments included \cite{CoquandPaulin, Dybjer:1991}.
A general notion of inductive type was introduced in 1985 by Constable and Mendler~\cite{DBLP:conf/lop/ConstableM85}. General schemas for inductive types in intensional type theory were suggested in
\cite{PfenningPaulinMohring, CoquandPaulin, Dybjer:1991}.

The notion of inductive-recursive definition appears in \cite{Dybjer:2000}. An important type-theoretic notion is the notion of tree types (a general expression of the notion of Post system in type theory) which appears in \cite{PeterssonSynek}.

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