Sentence examples for the left rule from inspiring English sources

(Note that while F ≻ f is a special case of the (left) rule for F, there is no proof of the converse sequent.

The upshot of the Knot rules is best visualised in terms of the zero-premiss rules (sequent-schemata) with which they are interderivable given the structural rules: φ, ψ ≻ φ Knot ψ (the right rule) and φ Knot ψ ≻ φ, ψ (the left rule).

Indeed, Id-inductivity is secured by two independent routes: by the interaction of the Tonk Left rule for Tonk+ with the Tonk* Right rule to Tonk+, and then again by the interaction of Tonk+'s Tonk* Left rule with its Tonk Right rule.

It is Tonk+ that has Knot as its mirror image, since just as we Knot has the full force of the (∧ Right) and (∨ Left) rules, Tonk+ enjoys the full force of the (∧ Left) and (∨ Right) rules.

The State Senate majority leader, Joseph L. Bruno, left, ruled out tax increases, saying the current state budget appeared to have a surplus.

But Queen Latifah (left) rules as the warden, who understands the meaning of reciprocity.

The left implication rule has what are called "shared contexts": the assumptions and cases in the conclusion, except for the formula with the connective, are repeated identically in both premisses.

The news on Virgin America came just before European Union transport ministers approved an "open-skies" deal between America and the EU which leaves rules on foreign ownership of American carriers untouched.

These terms are undefined by the bill, which would leave rules open to an extraordinary array of challenges, since almost any significant rule has some follow-on effect at some point on smaller businesses.

We did not investigate here the mechanisms of patch leaving rules that lead to an increase in patch residence time when exuviae are present and modifications in aphid defense could be involved.

Spain claims UN resolutions on territorial integrity passed in the 1960s override self-determination and say the Treaty of Utrecht, which gives Spain the first option if Britain leaves, rules self-determination out anyway.