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