Sentence examples for the valuation function from inspiring English sources

The valuation function, as in a Kripke model, allows us to assign properties to the worlds.

As in section 4.2 the valuation function has the range {0,1}.

However, here and in all models below we assume that the valuation function has the range {0,1}.

This means that the valuation function v treats modal formulas as atomic (interprtetations for S2 or S3 are special cases of interpretations for S0.5: those cases in which the valuation function uniformly treats the boxed formulas as false, etc., at non-normal worlds).

If we accept the constraints (TRL1) and (TRL2′), and use the above recursive definition of the valuation function T t,p), we obtain a semantics according to which (T1) and (T2) are valid.

Intuitively, the world set W of M is restricted to those worlds w ∈ W where φ holds, and the valuation function V and epistemic relations Ri are restricted accordingly.

One now needs to argue that the valuation functions must satisfy the single crossing condition.

Moreover, there is no closed formula that relates the valuation functions to the number of queries required by the protocol.

We design both deterministic and randomized cake cutting mechanisms that are truthful and fair under different assumptions with respect to the valuation functions of the agents.

This objective function operationalizes the valuation functions used in VBM and integrates the so far isolated effects of BPS on individual performance dimensions.

The only existing finite envy-free cake cutting protocol for any number of players, designed by Brams and Taylor [4], has the property that its runtime can be made arbitrarily large by setting up the valuation functions of the players appropriately.