IK is the IK-bisimulation-invariant fragment of intuitionistic first-order logic, accompanied by a Hennessy-Milner theorem and intuitionistic analogues of Los's theorem, elementary embeddings, and countable saturation.
de Paiva (2003): Natural deduction and context as (constructive) modality
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
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Introduces constructive neighbourhood semantics and an adapted structured calculus for intuitionistic monotone modal logic IM, proving decidability and noting analogies to classical variants of M and K.
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Intuitionistic K is a Bisimulation-Invariant Fragment of Intuitionistic First-Order Logic
IK is the IK-bisimulation-invariant fragment of intuitionistic first-order logic, accompanied by a Hennessy-Milner theorem and intuitionistic analogues of Los's theorem, elementary embeddings, and countable saturation.