refactor(Logics/Propositional): classical and intuitionistic inference systems#536
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thomaskwaring wants to merge 7 commits intoleanprover:mainfrom
Open
refactor(Logics/Propositional): classical and intuitionistic inference systems#536thomaskwaring wants to merge 7 commits intoleanprover:mainfrom
thomaskwaring wants to merge 7 commits intoleanprover:mainfrom
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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.