I see. Thanks!

On Saturday, July 16, 2016 at 11:58:44 PM UTC-4, gmhwxi wrote:
>
> In this case, the constraints do not involve transcendental functions 
> (sin, cos, exp, etc.).
> Once you have transcendental functions (and beyond), there is very little 
> that z3 can do.
> The hope is that dReal can be used to solve such constraints effectively 
> in practice.
>
> On Saturday, July 16, 2016 at 11:53:42 PM UTC-4, Steinway Wu wrote:
>>
>> I'm a little confused. This is solved using z3, not using dReal, right? 
>> So what's the relation with dReal/dReach here? 
>>
>> On Monday, June 13, 2016 at 6:08:13 PM UTC-4, gmhwxi wrote:
>>>
>>> The directory is renamed as follows:
>>>
>>>
>>> http://www.cs.bu.edu/~hwxi/GitHub/ATS-Postiats-contrib/projects/LARGE/CPS/DREACH/SCRATCH/bouncing_ball
>>>
>>> Also, the constraints can now be solved if they are passed to 
>>> patsolve_z3.
>>>
>>> On Wednesday, May 11, 2016 at 11:39:09 PM UTC-4, gmhwxi wrote:
>>>>
>>>> I skipped the constraint-solving part, which needs to be exported to Z3.
>>>>
>>>> On Wednesday, May 11, 2016 at 11:36:34 PM UTC-4, Artyom Shalkhakov 
>>>> wrote:
>>>>>
>>>>> On Thursday, May 12, 2016 at 5:56:56 AM UTC+6, gmhwxi wrote:
>>>>>>
>>>>>> Adding a 2d-oscillator example:
>>>>>>
>>>>>>
>>>>>> http://www.cs.bu.edu/~hwxi/GitHub/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/oscillator/
>>>>>>
>>>>>> http://www.cs.bu.edu/~hwxi/GitHub/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/oscillator/oscillator_2d_anim.html
>>>>>>
>>>>>>
>>>>> What's this for?
>>>>>
>>>>> prval () =
>>>>>   $UN.prop_assert{false}()
>>>>>
>>>>>
>>>>>
>>>>> Is it asserting falsity?
>>>>>
>>>>> On Wednesday, May 11, 2016 at 7:54:58 PM UTC-4, gmhwxi wrote:
>>>>>>>
>>>>>>> Renaming Github to GitHub:
>>>>>>>
>>>>>>>
>>>>>>> http://www.cs.bu.edu/~hwxi/GitHub/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/bouncing_ball/
>>>>>>>
>>>>>>> http://www.cs.bu.edu/~hwxi/GitHub/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/bouncing_ball/bouncing_ball_anim.html
>>>>>>>
>>>>>>> http://www.cs.bu.edu/~hwxi/GitHub/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/bouncing_ball/bouncing_ball_with_drag_anim.html
>>>>>>>
>>>>>>>
>>>>>>> On Saturday, May 7, 2016 at 3:50:21 PM UTC-4, gmhwxi wrote:
>>>>>>>>
>>>>>>>>
>>>>>>>> I'd like to report an interesting example of using types in ATS.
>>>>>>>>
>>>>>>>> Here are two animations of bouncing balls:
>>>>>>>>
>>>>>>>>
>>>>>>>> http://www.cs.bu.edu/~hwxi/Github/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/bouncing_ball/
>>>>>>>>
>>>>>>>> http://www.cs.bu.edu/~hwxi/Github/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/bouncing_ball/bouncing_ball_anim.html
>>>>>>>>
>>>>>>>> http://www.cs.bu.edu/~hwxi/Github/ATS-Postiats-contrib/projects/LARGE/DREACH/SCRATCH/bouncing_ball/bouncing_ball_with_drag_anim.html
>>>>>>>>
>>>>>>>> The graphics is uninteresting. What is interesting here is that the 
>>>>>>>> differential equations governing the movement of the ball are
>>>>>>>> captured in the ATS types.
>>>>>>>>
>>>>>>>> Cheers!
>>>>>>>>
>>>>>>>>

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