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Since every supervaluation is a classical valuation, every classical tautology is supertrue under every valuation function in K3.
Laws are always true; while they have the same form as constraints they constrain only vacuously in that every valuation of their variables is a solution.
An equation φ ≈ ψ is valid in an algebra A, or A is a model of φ ≈ ψ, if for every valuation v on A, v = v.
Then the truth-functions f for which every valuation consistent with ⊢ (as above) associates #f with f are precisely the projection-conjunction truth-functions.
We can cite #p ⊢ q as an example of a pure and simple sequent which holds on every valuation on which 1-ary # is associated with the constant-false function but not on every valuation on which it is associated with the negation function.
We defined the free algebra B generated by a subset X of B as having the property that for every algebra A and every valuation f : X→A, there exists a unique homomorphism h: B→A.
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This means, informally, that for every subset K of k outputs, every possible valuation of the variables in K is reachable.
Think about how Enumerate must work: it needs to know the outcome of a program for every single valuation of the program's random primitive draws.
By just about every single valuation metric, the United States is more expensive than Europe or Japan or emerging markets (pretty much in that order).
However, every mortgage valuation carried out had to be supported by three valid sales comparables – all within the previous six months – and, for buy-to-let, three rental comparables, too.
William P. Sterling: Certainly every single valuation measure of equities in the U.S. looks stretched.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com