On Wednesday 22 Jun 2011 19:59:12 Waldek Hebisch wrote:
>It seems that:
>http://www.philfree.org/IMG/pdf/dyckhoff-ljt.pdf
>gives simpler algorithm.

OK thanks, I'll have a read of the Dyckhoff paper.

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

My idea was to start with a 'free logic algebra' that is an algebra
where each combination of inputs to /\ , \/ and ¬ generates a new
element. So an expression like T /\ T is just T /\ T and does not
simplify.

Then by adding what I called "simplification rules" (should I have
called them relators?) then other logic algebras could be implemented
(intuitional, ternary, many-valued, boolean) just by changing the
"rules".

These "rules" are hardcoded into the /\ , \/ and ¬ implementations
(rather than implementing a true rule based system).

I thought that the 'free logic algebra' could be a category, then
intuitional, ternary, many-valued, boolean could be domains which
overload /\ , \/ and ¬ with their own sets of rules.

Martin

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