A maximal consistent set is a collection of logical formulas that is both consistent and cannot be extended further without…
Many-sorted logic enhances first-order logic by introducing multiple domains. Variables and quantifiers are typed, specifying the sort of objects they…
The logic of attributes extends first-order logic by incorporating attribute-value pairs. It's crucial for representing and reasoning about objects with…
Inconsistency arises when a system contains contradictory elements, making it impossible for all statements to be true simultaneously. This fundamental…
Higher-order logic extends first-order logic by enabling quantification over predicates and other higher-order entities. It offers greater expressive power for…
A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships between individuals, properties, and relations, forming the foundation…
First-order logic (FOL) is a formal system using quantifiers like 'for all' and 'there exists' to reason about individuals. It's…
A specialized field of modal logic focusing on formalizing reasoning about knowledge and belief. It uses modal operators to represent…
Doxastic modal logic explores the reasoning behind beliefs. It models how rational agents form and update their beliefs, providing a…