Abstract:In this paper, we introduce two focussed sequent calculi, LK p (T ) and LK + (T ), that are based on Miller-Liang's LKF system [LM09] for polarised classical logic. The novelty is that those sequent calculi integrate the possibility to call a decision procedure for some background theory T , and the possibility to polarise literals "on the fly" during proof-search.These features are used in other works [FLM12, FGLM13] to simulate the DPLL(T ) procedure [NOT06] as proof-search in the extension of LK p (T ) with… Show more
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