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Bounded Modal Logic: Explicit Scope Dependencies in Multi-Stage Programming
Yuito Murase, Akinori Maniwa
It is widely known that proof systems for modal logic can be interpreted as type systems for multi-stage programming (MSP). However, existing modal-logical foundations for MSP do n…
Modality via Iterated Enrichment
Yuichi Nishiwaki, Yoshihiko Kakutani, Yuito Murase
This paper investigates modal type theories by using a new categorical semantics called change-of-base semantics. Change-of-base semantics is novel in that it is based on (possibly…
Contextual Modal Type Theory with Polymorphic Contexts
Yuito Murase, Yuichi Nishiwaki, Atsushi Igarashi
Modal types -- types that are derived from proof systems of modal logic -- have been studied as theoretical foundations of metaprogramming, where program code is manipulated as fir…