*Coq* seems to be a widely used proof assistant language with lots of 
examples of use.

A recent proof system I've seen written about is *Imandra* 
[ https://www.imandra.ai/ ] which has been applied to the Monte Hall 
problem 
[ 
https://medium.com/imandra/reasoning-about-probabilities-in-reasonml-2b43bf01873e
 
].


As for theorem provers for modal logics, there's some reference to such in

*Automating Gödel’s Ontological Proof of God’s Existence with Higher-order 
Automated Theorem Provers*
[ http://page.mi.fu-berlin.de/cbenzmueller/papers/C40.pdf ]



- pt



On Sunday, November 25, 2018 at 12:12:18 PM UTC-6, Mark Buda wrote:

> What I did at the time was write a Monte Carlo simulation. I don't know 
> any of those languages well enough to do anything useful with them yet.
>
> I want to use one of the proof assistant languages for some the AGI stuff 
> I am trying to work on, but I am not sure yet which one best suits my 
> needs. I don't know enough about them or my needs to decide yet. I am 
> leaning towards Coq, but if I find something that looks like it plays 
> better with modal logic that might sway me.
>
> I have to finish some poorly thought out OAuth2 code before I have enough 
> data sources working that I can turn my attention to how I think the system 
> I am trying to build should reason about those data sources.
>
> At that point, I will want to write statements about the data sources, and 
> will need to pick a language in which to write those statements.
> --
> Mark Buda <[email protected] <javascript:>>
> I get my monkeys for nothing and my chimps for free.
>
>
> On Sun, Nov 25, 2018, 11:27 AM Philip Thrift <[email protected] 
> <javascript:> wrote:
>
>>
>> On the other hand, some say you really don't understand something unless 
>> you can write a program that encodes that understanding.
>>
>> Can you encode your understanding of the Monte Hall problem in a 
>> "logical" (or proof assistant) language?
>>
>> - pt
>>
>> On Sunday, November 25, 2018 at 10:11:08 AM UTC-6, Mark Buda wrote:
>>>
>>> When presented with the Monty Hall problem, I could not understand it 
>>> without writing a program to help me. I guess that puts me in the good 
>>> company of Paul Erdos, according to Wikipedia...
>>> --
>>> Mark Buda <[email protected]>
>>> I get my monkeys for nothing and my chimps for free.
>>>
>>> On Sat, Nov 24, 2018, 6:58 PM John Clark <[email protected] wrote:
>>>
>>>> On Sat, Nov 24, 2018 at 5:01 PM Brent Meeker <[email protected]> 
>>>> wrote:
>>>>
>>>> *> The best intuition pump to solve the Monte Hall problem is to 
>>>>> imagine that there are 100 doors and Monte opens all the doors except the 
>>>>> one you chose and one other....do you switch?*
>>>>
>>>>
>>>> 3 doors will do. If you follow the switch strategy the only way you 
>>>> would end up losing is if your original guess was correct, and there was 
>>>> only one chance in 3 of that, so if you switch you have 2 chances in 3 of 
>>>> winning. 
>>>>
>>>> John K Clark  
>>>>
>>>>
>>>>>
>>

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