Weak induction proves a statement for natural numbers by assuming it's true for the immediately preceding case. This contrasts with…
A valuation assigns semantic values, like truth values, to formulas in a formal language. It's essentially an interpretation, crucial for…
A mathematical logic and computer science framework using types to classify expressions and objects, preventing paradoxes by organizing into hierarchies…
A translation maps expressions between languages, aiming to preserve meaning or truth conditions. It's a fundamental concept in logic and…
The transitive closure of a relation is the smallest transitive relation that includes the original. It's formed by adding minimal…
The transition function is a core component of finite automata, defining how the automaton moves from one state to another…
A total function is a mathematical function that is defined for every possible input in its domain. This guarantees an…
Topos theory studies categories resembling the category of sets, forming a foundation for mathematics. It enables generalized concepts of computation…
A ternary function is a mathematical concept that accepts three inputs or arguments. It's an extension of unary (one input)…
Simple type theory organizes objects into a hierarchy of types, classes, and classes of classes. It contrasts with ramified type…