rosetta/ternary_logic.bruijn

true [[[0]]]

maybe [[[1]]]

false [[[2]]]

¬‣ [0 true maybe false]

:test (¬true) (false)
:test (¬maybe) (maybe)
:test (¬false) (true)

…⋀… [[1 (0 1 1 1) (0 0 0 1) (0 0 0 0)]]

:test (true ⋀ true) (true)
:test (true ⋀ maybe) (maybe)
:test (true ⋀ false) (false)
:test (maybe ⋀ true) (maybe)
:test (maybe ⋀ maybe) (maybe)
:test (maybe ⋀ false) (false)
:test (false ⋀ true) (false)
:test (false ⋀ maybe) (false)
:test (false ⋀ false) (false)

…⋁… [[1 (0 0 0 0) (0 1 0 0) (0 1 1 1)]]

:test (true ⋁ true) (true)
:test (true ⋁ maybe) (true)
:test (true ⋁ false) (true)
:test (maybe ⋁ true) (true)
:test (maybe ⋁ maybe) (maybe)
:test (maybe ⋁ false) (maybe)
:test (false ⋁ true) (true)
:test (false ⋁ maybe) (maybe)
:test (false ⋁ false) (false)

…⊃… [[1 (0 true 0 1) (0 true 1 1) (0 1 1 1)]]

:test (true ⊃ true) (true)
:test (true ⊃ maybe) (true)
:test (true ⊃ false) (true)
:test (maybe ⊃ true) (maybe)
:test (maybe ⊃ maybe) (maybe)
:test (maybe ⊃ false) (true)
:test (false ⊃ true) (false)
:test (false ⊃ maybe) (maybe)
:test (false ⊃ false) (true)

…≡… [[1 (0 true 0 1) (0 1 1 1) (0 0 0 0)]]

:test (true ≡ true) (true)
:test (true ≡ maybe) (maybe)
:test (true ≡ false) (false)
:test (maybe ≡ true) (maybe)
:test (maybe ≡ maybe) (maybe)
:test (maybe ≡ false) (maybe)
:test (false ≡ true) (false)
:test (false ≡ maybe) (maybe)
:test (false ≡ false) (true)

# --- result samples ---

:import std/List .

main [[inp <> "=" <> !res ++ "\n"] <++> (cross3 ops trits trits)]
	!‣ [0 "false" "maybe" "true"]
	…<>… [[1 ++ " " ++ 0]]
	inp 0 [[~1 <> (0 [[!1 <> (0 [[!1]])]])]]
	res ^(^0) ^(~0) ^(~(~0))
	ops (…⋀… : "and") : ((…⋁… : "or") : ((…⊃… : "if") : {}(…≡… : "equiv")))
	trits true : (maybe : {}false)