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49 lines
1.1 KiB
Plaintext
49 lines
1.1 KiB
Plaintext
//builtins lift over tuples, seqs, and records
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//this file uses addition to model a builtin
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//but this should work for any builtin operators
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x = [True,False]
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y = [False,True]
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//make sure bitvectors are numbers
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property p1 = x == (2 : [2])
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//same thing written 2 different ways
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property p2 = x + y == 3
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property p3 = x + y == [True,True]
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xx = [[True,False]]
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yy = [[False,True]]
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//addition lifts pointwise over sequences
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property p4 = xx + yy == [3]
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//negation is a unary operator that also lifts over sequences
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property p5 = ~ xx == yy
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xinf = [2 ... ]
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yinf = [3 ... ]
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//addition lifts pointwise over infinite lists
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property p6 = (xinf + yinf) @ (0 : [0]) == (1 : [2])
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//negation lifts pointwise over an infinite list
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property p7 = (~ xinf) @ (0 : [0]) == (1 : [2])
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xrec = { x = 2 : [2], y = 2 : [2] } : {x : [2], y : [2]}
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property p8 = xrec + xrec + xrec == xrec
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//lift over tuples and records at the same time
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property p9 = (2,2,xrec) + (2,2,xrec) + (2,2,xrec) == (2:[2],2:[2],xrec)
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//lift unary over tuples and lists
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property p10 = (~ { x = (1,2), y = [3,4,5] }) == {x = (0:[1],1:[2]), y = [4, 3, 2] : [3][3] }
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