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10
votes
1
answer
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Fibers of the morphism from the free Heyting algebra to the free Boolean algebra
For $k\in\mathbb{N}$, let $H_k$ be the free Heyting algebra on $k$ variables $p_1,\ldots,p_k$ and $B_k$ be the free Boolean algebra on the same $k$ variables. Thus, $B_k$ has $2^{2^k}$ elements (corr …
6
votes
1
answer
178
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Variable elimination for propositional formulas in Heyting algebras
By an (intuitionistic) propositional formula $\varphi(x_1,\ldots,x_n)$ I mean a formula built up from a (finite) number of variables $x_1,\ldots,x_n$ using connectors $\top, \bot, \land, \lor, \Righta …