Towards a Proof Theory of Gödel Modal Logics

Abstract

Analytic proof calculi are introduced for box and diamond fragments of basic modal fuzzy logics that combine the Kripke semantics of modal logic K with the many-valued semantics of Gödel logic. The calculi are used to establish completeness and complexity results for these fragments.

References in corpus (2)

• Reasoning within Fuzzy Description Logics
• Hypersequents and the Proof Theory of Intuitionistic Fuzzy Logic

Cited by in corpus (4)

• A Real-Valued Modal Logic
• Non-standard modalities in paraconsistent Gödel logic
• Tableaux for epistemic Gödel logic
• Paraconsistent Gödel modal logic