Abstract
Let LB be a sequent calculus of the first-order classical temporal logic TB with time gaps. Let, further, LBJ be the intuitionistic counterpart of LB. In this paper, we consider conditions under which a sequent is derivable in the calculus LBJ if and only if it is derivable in the calculus LB. Such conditions are defined for sequents with one formula in the succedent (purely Glivenko σ-classes) and for sequents with the empty succedent (Glivenko σ-classes).
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Alonderis, R. Glivenko Classes of Sequents for Temporal Logic with Time Gaps. Lithuanian Mathematical Journal 42, 219–231 (2002). https://doi.org/10.1023/A:1020213623847
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DOI: https://doi.org/10.1023/A:1020213623847