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 token represents a specific instance of a type, like a word in text, distinguishing it from the abstract concept…
Explore three-valued logic, which expands beyond traditional true/false to include a third truth value like 'unknown' or 'indeterminate'. This system…
A ternary function is a mathematical concept that accepts three inputs or arguments. It's an extension of unary (one input)…
Temporal modal logic extends modal logic with time-related modalities like 'always' and 'sometimes'. It enables reasoning about the temporal aspects…
Symmetry in binary relations means if A is related to B, then B is also related to A. It's a…