LING 360 Lecture Notes - Lecture 30: Semantic Equivalence, If And Only If, Empty Set
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If c is a member of is, then vm(c) = i(c) Let m, or u, i , be a structure of cpdl, vm is a classical valuation (for cpdl) if and only if it is a function whose domain is is rs fm and which meets the following conditions: )f be a member of rs, then vm(cid:523) (cid:524) = i(cid:523) (cid:524) Let be a member of rs, let ad(cid:523) (cid:524) = 1 and let c be a member of is. vm(cid:523) c) = t iff vm(c) is a member of vm(cid:523) (cid:524) Let be a member of rs, let ad(cid:523) (cid:524) = n (where n > 1) and let c1, , cn be. Vm( c1, cn) = t iff vm(c1), vm(cn) is a member of vm(cid:523) (cid:524) occurrences of members of is. Then, for each and for each in fm, Relation of a structure to a formula or set of formulas: Properties of a formula or a set of formulas.