Titlebook: Algebraic Perspectives on Substructural Logics; Davide Fazio,Antonio Ledda,Francesco Paoli Book 2021 Springer Nature Switzerland AG 2021 S

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,Residuated Operators and Dedekind–MacNeille Completion,hen these operators are transformed into lattice terms and the poset . is completed to its Dedekind–MacNeille completion . then the complete lattice . becomes a residuated lattice with respect to these transformed terms. It is shown that this holds in particular for Boolean posets and for relatively

大漩渦

倔強(qiáng)一點(diǎn)

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Quasi-Nelson; Or, Non-involutive Nelson Algebras,De Morgan lattices, which are a non-involutive generalisation of De Morgan lattices due to Sankappanavar. We show that, similarly to the involutive case, our new class of algebras can be equivalently presented as (1) ., i.e.?models of the well-known Full Lambek calculus with exchange and weakening,

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Hyperdoctrines and the Ontology of Stratified Semantics,fter proving that RWQ is sound with respect to RW hyperdoctrines, we show how to construct, for each stratified model, a hyperdoctrine that verifies precisely the same sentences. Completeness of RWQ for hyperdoctrinal semantics then follows from completeness for stratified semantics, which is proved

Anticlimax

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胰島素

Algebraic Perspectives on Substructural Logics978-3-030-52163-9Series ISSN 1572-6126 Series E-ISSN 2212-7313

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