Source: J. Symbolic Logic
Volume 72, Issue 4
In this paper we present two calculi for intuitionistic logic. The first one, IG, is
characterized by the fact that every proof-search terminates and termination is reached
without jeopardizing the subformula property. As to the second one, SIC, proof-search
terminates, the subformula property is preserved and moreover proof-search is performed
without any recourse to metarules, in particular there is no need to back-track. As a
consequence, proof-search in the calculus SIC is accomplished by a single tree as
in classical logic.
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