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authorJSDurand <mmemmew@gmail.com>2022-11-15 12:01:28 +0800
committerJSDurand <mmemmew@gmail.com>2022-11-15 12:01:28 +0800
commitcb7bcfad4ab0041aaf3fde3185e27ee46bb37788 (patch)
treea4fd99b138b72617b6c4c2b04f5d2655d0fedcc5 /receme/src/ralgebra.rs
Initial commit
Basic GNU standard files are added, and we now stop worrying about monadic anamorphisms. The current focus is on testing the correctness of the algorithm, so I need convenient support for manipulating, interpreting, examining, and per chance animating nondeterministic automata.
Diffstat (limited to 'receme/src/ralgebra.rs')
-rw-r--r--receme/src/ralgebra.rs25
1 files changed, 25 insertions, 0 deletions
diff --git a/receme/src/ralgebra.rs b/receme/src/ralgebra.rs
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+//! This file defines the behaviours of R-algebras.
+//!
+//! For a functor F, an R-algebra is a natural transformation from F1
+//! to the identity functor, where F1 is the functor that sends T to
+//! F((F(T), T)). This extra F(T) represents the context during the
+//! computations.
+
+use crate::functor::Functor;
+
+/// An R-algebra is a function from F((F(T), T)) to T.
+///
+/// This is a "trait alias". Since Rust does not support trait alias
+/// yet, we define an empty trait with an automatic implementation.
+pub trait RAlgebra<T, F>: FnMut((T, F)) -> T
+where
+ F: Functor<T>,
+{
+}
+
+impl<T, F, R> RAlgebra<T, F> for R
+where
+ F: Functor<T>,
+ R: FnMut((T, F)) -> T,
+{
+}