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Skip to Search Results- 12-valued logic, admissibility of the cut rule, axiomatic calculus for FOL, contraction measure, sequent calculus for FOL, single cut rule
- 1Curry's lemma, decidability, intuitionist logic, Kripke's lemma, modal logic, relevance logic, sequent calculus
- 1intuitionistic logic, Meyer–Routley semantics, modal logic, possible world semantics, relevance logic, residuation, R-mingle, tense logic
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2020-06-01
The first sequent calculus, LK is the example after which many other calculi have been fashioned. We describe this calculus, prove its equivalence to the axiom system K, and provide a sound and complete interpretation too. A major part of Section 2.3 is a presentation of the proof of the cut...
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2022-01-01
The generalized Galois logic approach (i.e., gaggle theory), introduced by Dunn, provides a systematic way to define semantics for many substructural logics in the form of a relational representation of their Lindenbaum algebras. We provide an overview of some conceptual antecedents that we think...
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2020-01-01
Some logics are decidable, that is, there is an algorithm to determine whether a formula is provable in a calculus formalizing the logic. This paper aims to depict the evolution of decidability proofs based on sequent calculi from the first such proof for intuitionist logic to some of the latest...