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Jun 1, 2013 · Let A = 〈 A, ≤ t, ≤ f, ≤ i, − t 〉 be an interlaced trilattice with t-involution. Using De Morgan laws, it is not difficult to prove the following: Proposition 3.5. The relations ∼ 1 and ∼ 2 defined in the previous section are congruences of any interlaced trilattice with t-involution. Proof
- Umberto Rivieccio
- 2013
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The trilattice SIXTEEN3 introduced in Shramko & Wansing (2005) is a natural generalization of the famous bilattice FOUR2. Some Hilbert-style proof systems for trilattice logics related to SIXTEEN3 have recently been studied (Odintsov, 2009; Shramko & Wansing, 2005). In this paper, three sequent calculi G B, F B, and Q B are presented for ...
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Jun 1, 2013 · In [31], Rivieccio presented product representations for the varieties of interlaced trilattices and interlaced trilattices with one involution´t. A trilattice is said to be interlaced if the six ...