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Sub-alternation occures when two propositions are corresponding
They are propositions that have been proved to be true.
Gold is a metal.
A proposition is a logically sound assertion that makes a connection/s between concepts. Propositions cannot be tested for validity; a hypothesis is a logical assertion, that can, but has not yet been tested. Propositions are the framework upon which hypothesis are made. Propositions also, because of their characteristic of not being testable, do not have to be supported by empirical evidence. Hypothesis on the other hand, do.
A kripke structure is made up of 5 elements. States (S), a relation between states (R) that tells which two states are connected by an edge, Atomic propositions (AP), a function L that maps atomic propositions to states, and initial states.