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-rw-r--r--std/Logic.bruijn104
1 files changed, 3 insertions, 101 deletions
diff --git a/std/Logic.bruijn b/std/Logic.bruijn
index b16595c..171b52b 100644
--- a/std/Logic.bruijn
+++ b/std/Logic.bruijn
@@ -1,102 +1,4 @@
-# MIT License, Copyright (c) 2022 Marvin Borner
+# MIT License, Copyright (c) 2024 Marvin Borner
+# this is just a reference to the boolean implementation
-:import std/Combinator .
-
-# true
-true k ⧗ Boolean
-
-# false
-false ki ⧗ Boolean
-
-# inverts boolean value
-# equivalent of [0 ⇒ false]
-not! c ⧗ Boolean → Boolean
-
-¬‣ not!
-
-:test (¬true) (false)
-:test (¬false) (true)
-
-# true if both args are true
-and? [[0 1 0]] ⧗ Boolean → Boolean → Boolean
-
-…⋀?… and?
-
-:test (true ⋀? true) (true)
-:test (true ⋀? false) (false)
-:test (false ⋀? true) (false)
-:test (false ⋀? false) (false)
-
-# true if not both args are true
-nand? [[1 0 1 false true]] ⧗ Boolean → Boolean → Boolean
-
-:test (nand? true true) (false)
-:test (nand? true false) (true)
-:test (nand? false true) (true)
-:test (nand? false false) (true)
-
-# true if one of the args is true
-or? m ⧗ Boolean → Boolean → Boolean
-
-…⋁?… or?
-
-:test (true ⋁? true) (true)
-:test (true ⋁? false) (true)
-:test (false ⋁? true) (true)
-:test (false ⋁? false) (false)
-
-# true if both args are false
-nor? [[1 1 0 false true]] ⧗ Boolean → Boolean → Boolean
-
-:test (nor? true true) (false)
-:test (nor? true false) (false)
-:test (nor? false true) (false)
-:test (nor? false false) (true)
-
-# true if args are not same bools
-xor? [[0 (1 false 0) 1]] ⧗ Boolean → Boolean → Boolean
-
-:test (xor? true true) (false)
-:test (xor? true false) (true)
-:test (xor? false true) (true)
-:test (xor? false false) (false)
-
-# true if both args are same bools
-xnor? [[0 1 (1 0 true)]] ⧗ Boolean → Boolean → Boolean
-
-:test (xnor? true true) (true)
-:test (xnor? true false) (false)
-:test (xnor? false true) (false)
-:test (xnor? false false) (true)
-
-# if first arg is true, exec first exp; else second exp
-# this function is generally redundant
-# I personally just write (exp? case-T case-F) directly
-if [[[2 1 0]]] ⧗ Boolean → a → b → c
-
-…?…:… if
-
-:test (if true true false) (true)
-:test (true ? true : false) (true)
-:test (if false true false) (false)
-:test (false ? true : false) (false)
-
-# mathematical implies definition
-implies [[1 0 true]] ⧗ Boolean → Boolean → Boolean
-
-…⇒?… implies
-
-:test (true ⇒? true) (true)
-:test (true ⇒? false) (false)
-:test (false ⇒? true) (true)
-:test (false ⇒? false) (true)
-
-# mathematical iff (if and only if) definition
-iff xnor? ⧗ Boolean → Boolean → Boolean
-
-…⇔?… iff
-
-:test (true ⇔? true) (true)
-:test (true ⇔? false) (false)
-:test (false ⇔? true) (false)
-:test (false ⇔? false) (true)
+:input std/Logic/Binary .