A formal language is a set of strings over an alphabet, defined by precise rules. It's crucial in computer science…
A well-formed formula (WFF) is a syntactically correct expression in a formal language. It adheres to the established rules, ensuring…
The weakening rule allows adding propositions to a logical derivation without invalidating it. This principle confirms that if a conclusion…
A valuation assigns semantic values, like truth values, to formulas in a formal language. It's essentially an interpretation, crucial for…
Syntactic consequence defines the relationship between premises and conclusions derived through logical rules and axioms within a formal system. It…
A subformula is a constituent part of a larger logical formula, sharing its own well-formed structure. Understanding subformulas is crucial…
An open term is an expression in a formal language with free variables. It doesn't represent a specific object or…
Explore logics that deviate from or expand classical logic. This includes many-valued, modal, and other non-classical systems, offering diverse approaches…
The Logic of Paradox (LP) is a formal system designed to handle paradoxical statements. It allows for truth-value gaps and…
A formal system for natural language syntax modeling, rooted in categorial grammar. It focuses on operations and types to analyze…