PP-2018-05: Intermediate logics admitting a structural hypersequent calculus

PP-2018-05: Lauridsen, Frederik Möllerström (2018) Intermediate logics admitting a structural hypersequent calculus. [Pre-print] (In Press)

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We characterise the intermediate logics which admit a cut-free hypersequent calculus of the form HLJ + R, where HLJ is the hypersequent counterpart of the sequent calculus LJ for propositional intuitionistic logic, and R is a set of so-called structural hypersequent rules, i.e., rules not involving any logical connectives. The characterisation of this class of intermediate logics is presented both in terms of the algebraic and the relational semantics for intermediate logics. We discuss various— positive as well as negative—consequences of this characterisation.

Item Type: Pre-print
Report Nr: PP-2018-05
Series Name: Prepublication (PP) Series
Year: 2018
Subjects: Logic
Depositing User: flaurid1
Date Deposited: 14 Mar 2018 19:01
Last Modified: 14 Mar 2018 19:01
URI: https://eprints.illc.uva.nl/id/eprint/1600

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