Erotetic logic is the formal study of questions. It examines question structures, their logical relationships with answers, and the principles…
Hilbert's Entscheidungsproblem sought an algorithm to determine the truth of any mathematical statement. Alan Turing and Alonzo Church proved it…
An elimination rule in logic simplifies formulas by removing connectives or quantifiers. It's crucial for deriving conclusions from premises, forming…
A technique in mathematical logic to remove quantifiers from formulas, preserving logical equivalence. Crucial in theories like real closed fields…
An effectively decidable theory is a formal system where an algorithm can definitively prove any statement as either true or…
An effectively computable function is one that can be calculated by an algorithm. This means a step-by-step procedure exists, guaranteeing…
An effective procedure is a guaranteed method for solving problems in a finite, repeatable sequence of steps. It ensures a…
Dynamic modal logic explores necessary and possible connections between events. It extends traditional modal logic to analyze how states change…
The dual of a truth-table involves swapping truth values. Connectives like conjunction and disjunction are dual. The dual of a…
The double turnstile (⊨) symbol signifies semantic entailment or logical consequence. It indicates that the truth of certain propositions guarantees…