refactor(Logics/Propositional): classical and intuitionistic inference systems#536
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fmontesi
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Jun 14, 2026
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LGTM. Could you fix the merge conflicts, @thomaskwaring?
I'm not so sure about the naming dne, efq, etc... they are rather arcane. Any better suggestions? But we can revisit this choice later, since we're working on introducing logical operators.
This was referenced Jun 14, 2026
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@fmontesi done, thanks! i see your point about the names, i was going for brevity, but something like |
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We amend the definitions of
IsClassicalandIsIntuitionisticinLogics.Propositional.Defsto refer to an inference system, rather than a theory. This makes inhabitation of these typeclasses independent of the chosen axiomatisation, so, for instance, we can defineinstance instIsIntuitionisticOfIsClassical [IsClassical Atom T] : IsIntuitionistic Atom T, which before was impossible. We describe some common alternative axiom systems for classical logic, and introduce some derived rules.