I created an AI model that takes ANY software system and produces a TLA+ model that satisfies ALL its properties. Software engineering is solved forever!
Hillel
@hillelwayne.com
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Developer educator at @antithesis.com. Formal methods, software history, chocolatiering. DMs open. *Logic for Programmers* now out! logicforprogrammers.com Newsletter: buttondown.email/hillelwayne
![The units have been defined here so that precise conversion to sp is efficient
on a wide variety of machines. In order to achieve this, TEX’s “pt” has been
made slightly larger than the official printer’s point, which was defined to equal exactly
.013837 in by the American Typefounders Association in 1886 [cf. National Bureau of
Standards Circular 570 (1956)]. In fact, one classical point is exactly .99999999 pt, so
the “error” is essentially one part in 108. This is more than two orders of magnitude
less than the amount by which the inch itself changed during 1959, when it shrank to
2.54 cm from its former value of (1/0.3937) cm; so there is no point in worrying about
the difference. The new definition 72.27 pt = 1 in is not only better for calculation, it is
also easier to remember.](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:rvlyeda73kxm7l2weegk73pa/bafkreicw72r3zrrpyqlvqlcojelpgyatuo5emixzf4fn3anava7za5fsyu)
![mymax([1, 2, 3]) = 3
mymax([4, 2, 2]) = 4
mymax([1, 1, 1]) = 1
mymax([8, 0, 9]) = 9
mymax([-1, -2, -3]) = -1
mymax([x, y, z]) = -443x + 1148y + -617z + 0xy + 129xz + -34yz + -182](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:rvlyeda73kxm7l2weegk73pa/bafkreifmqzedeacihhbmyhmn6ow5d23jl5leupps5lbepk44m4vfehtdoy)
![from z3 import * # type: ignore
solver = Solver()
a0, a, b, c, d, e, f = Consts('a0 a b c d e f', IntSort())
t = "a*x+b*y+c*z+d*x*y+e*x*z+f*y*z+a0"
x, y, z = Ints('x y z')
# use_z3_func = True
use_z3_func = False
if use_z3_func:
mymax = Function('mymax', IntSort(), IntSort(), IntSort(), IntSort())
solver.add(ForAll([x, y, z], mymax(x, y, z) == eval(t)))
else:
mymax = lambda x, y, z: eval(t)
gags = [(1,2,3), (4, 2, 2), (1, 1, 1), (8,0,9), (-1, -2, -3)]
for g in gags:
solver.add(mymax(*g) == max(*g))
if solver.check() == sat:
m = solver.model()
for x, y, z in gags:
print(f"mymax([{x}, {y}, {z}]) =", m.evaluate(mymax(x, y, z)))
print(f"\nmymax([x, y, z]) = {m[a]}x + {m[b]}y + {m[c]}z + {m[d]}xy + {m[e]}xz + {m[f]}yz + {m[a0]}")](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:rvlyeda73kxm7l2weegk73pa/bafkreic3oeul6fhrq5vik7m22t2mmjncj3rqe4e4nllcpxx6yfvbpq22ka)
