The following should work and invoke Z3:divide_by_two(n) == n \div 2--On Wed, Dec 4, 2019 at 5:47 PM <hjh2bs@xxxxxx> wrote:Hi,--I'm working on proving an algorithm using TLAPS that requires dividing integers by two. I understand there's no support for real numbers/division in the backend provers, so I am using an operator:The problem I'm running into is when trying to prove properties using the above operator with set expressions. The following example demonstrates this:
The backend provers are unable to prove the above theorem. SMT specifically times out and increasing the timeout doesn't appear to help.Changing the assumption to:
will successfully prove the theorem. Are the backend provers able to work with 'CHOOSE' _expression_ in conjunction with sets? Is there anything wrong with how I'm specifying the assumption? The actual algorithm will require using the division operator with a few 'min'/'max' operators, which may also complicate the proof process, so I'm wondering if TLAPS is able to prove these sort of algorithms that require arithmetic.Best,Hans
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