Artificial Intelligence

Monotonic Logic

Monotonic logic ensures that adding new information never invalidates existing conclusions. This property guarantees that derived truths remain valid as…

4 days ago

Kleene Connectives in Three-Valued Logic

Kleene connectives extend classical logic with a third truth value (undefined/unknown). They are crucial for handling indeterminate propositions and are…

4 days ago

Hybrid Logic

Hybrid logic enhances modal logic by allowing direct reference to specific worlds within models. This increases expressiveness, enabling more precise…

4 days ago

Fuzzy Logic Explained

Fuzzy logic is a many-valued logic that deals with degrees of truth and certainty, moving beyond traditional true/false. It enables…

4 days ago

Epistemic Modal Logic

A specialized field of modal logic focusing on formalizing reasoning about knowledge and belief. It uses modal operators to represent…

4 days ago

Doxastic Modal Logic: The Logic of Belief

Doxastic modal logic explores the reasoning behind beliefs. It models how rational agents form and update their beliefs, providing a…

4 days ago

Degree-Theoretic Semantics

Degree-theoretic semantics measures sentence truth in degrees, moving beyond binary true/false. This approach is vital for fuzzy logic and theories…

4 days ago

Understanding Co-reference

Co-reference identifies expressions that refer to the same entity. It's crucial for understanding text flow, resolving pronouns, and enabling machines…

4 days ago

Chronological Logic

Chronological logic, also known as temporal modal logic, deals with reasoning about time and events. It extends classical logic by…

5 days ago

Causal Modal Logic

Causal modal logic extends standard modal logic with modalities for necessity, possibility, and causal relations. It enables formal analysis of…

5 days ago