さっきたまたま見つけた。のでまだ読んでない。
前回の勉強会んときの雑談で論理と圏の対応の話が出てましたが、多少関係アリ?
a Boolean category should provide the abstract algebraic structure underlying the proofs in Boolean Logic, in the same sense as a Cartesian closed category captures the proofs in intuitionistic logic and a *-autonomous category captures the proofs in linear logic. However, recent work has shown that there is no canonical axiomatisation of a Boolean category.