Martin Baker wrote:
> 
> So, just to summarise, I think that the version of
> computation.spad.pamphlet at:
> https://github.com/martinbaker/multivector/
> that I uploaded yesterday is 'correct' (no longer has ?) but does not
> have all simplifications. I think that I can implement the following
> simplification rules today:
> 
> ~T -> _|_
> ~(~T) -> T
> ~x /\ x -> _|_
> x /\ ~x -> _|_
> x /\ x -> x
> _|_ /\ x -> _|_
> x /\ _|_ -> _|_
> T \/ x -> T
> x \/ T -> T
> 
> but it would take me a lot longer to work out and implement a complete
> list of simplification rules without help.
>
 
I am not sure if a "complete" system of simplification rules is
known.  What is known is an algorithm to determine validity
of intuitionistic formula, see for example:

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.7751

Using this you can determine equivalence of intuitionistic
formulas.  But the algorithm does not work via "simplification
rules"...

-- 
                              Waldek Hebisch
[email protected] 

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