Guarded recursion is a framework allowing for a formalisation of streams in classical programming languages. The latter take their semantics in cartesian closed categories.
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Oct 2, 2022 · The recursion is "guarded" by the constructor / forcing condition, so evaluation doesn't act on the next recursion until after progressing ...
Feb 14, 2023 · Guarded recursion is a form of recursion that ensures that solutions of self-referential descriptions exist. This is achieved by “guarding” the ...
Jan 10, 2023 · Guarded recursion: This occurs when a recursive call is positioned under a lazy parameter to a data constructor.
A Martin-Löf type theory with principles for guarded recursive definitions for non-well-founded trees given by [Coquand 1994].
It is easy to see that this recursive definition is guarded; ones is only invoked recursively within an application of the stream constructor StreamCons. This ...
Internalised Guarded Recursion for Equational Reasoning
discourse.haskell.org › internalised-guard...
The post shows how the technique introduced in that paper, “internal guarded recursion,” can be used not only in a lightweight formal way, but just in everyday ...
Jan 10, 2024 · I am looking for an accessible reference that explains the concept of guarded recursion. Some things I have in mind are:.
Guarded Recursion. A recursive definition is guarded whenever there provably is some productive work done before a recursive call takes place.
Playing with guarded recursion in Coq, based on: First Steps in Synthetic Guarded Domain Theory: Step-Indexing in the Topos of Trees (LICS ...