std/Logic.bruijn


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# MIT License, Copyright (c) 2022 Marvin Borner

:import std/Combinator .

not [0 F T]

:test (not T) (F)
:test (not F) (T)

and [[1 0 F]]

:test (and T T) (T)
:test (and T F) (F)
:test (and F T) (F)
:test (and F F) (F)

nand [[1 0 1 F T]]

:test (nand T T) (F)
:test (nand T F) (T)
:test (nand F T) (T)
:test (nand F F) (T)

or [[1 T 0]]

:test (or T T) (T)
:test (or T F) (T)
:test (or F T) (T)
:test (or F F) (F)

nor [[1 1 0 F T]]

:test (nor T T) (F)
:test (nor T F) (F)
:test (nor F T) (F)
:test (nor F F) (T)

xor [[1 (not 0) 0]]

:test (xor T T) (F)
:test (xor T F) (T)
:test (xor F T) (T)
:test (xor F F) (F)

xnor [[1 0 (not 0)]]

:test (xnor T T) (T)
:test (xnor T F) (F)
:test (xnor F T) (F)
:test (xnor F F) (T)

if [[[2 1 0]]]

:test (if T T F) (T)
:test (if F T F) (F)

implies [[or (not 1) 0]]

:test (implies T T) (T)
:test (implies T F) (F)
:test (implies F T) (T)
:test (implies F F) (T)

iff [[and (implies 1 0) (implies 0 1)]]

:test (iff T T) (T)
:test (iff T F) (F)
:test (iff F T) (F)
:test (iff F F) (T)