On monotone modalities and adjointness
| Authors |
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|---|---|
| Publication date | 2011 |
| Journal | Mathematical Structures in Computer Science |
| Volume | Issue number | 21 |
| Pages (from-to) | 383-416 |
| Organisations |
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| Abstract | We fix a logical connection (Stone ˧ Pred : Setop → BA given by 2 as a schizophrenic object) and study coalgebraic modal logic that is induced by a functor T: Set → Set that is finitary and standard and preserves weak pullbacks and finite sets. We prove that for any such T, the cover modality nabla is a left (and its dual delta is a right) adjoint relative to ω. We then consider monotone unary modalities arising from the logical connection and show that they all are left (or right) adjoints relative to ω. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1017/S0960129510000514
(Final published version)
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