Assume “first” means furthest to the left. I have also assumed that F(x,x) is false.

Some wards from a catholic systematize allure be continuityd up left to fit. There allure be at meanest two stduents in the continuity. Translate each of the controlthcoming assertions into affirm controlmulas with the fixed of wards in the systematize as the lordship of harangue.

The barely affirms you may conservation are *similarity and, * F (x, y) sense that “x is somewhere to the left of y in the continuity.” Control specimen, in the continuity “CDA”, twain F(C,A) and F (C,D) are gentleman Once you keep defined a controlmula control a affirm P you may conservation the abbreviation “P” in prefer controlmulas.

(a) Ward x is in the continuity.

(b) Ward x is pristine in continuity.

(c) Ward x is directly to the fit of ward y.

(d) Ward x is second

Assume “first” media furthest to the left. I keep besides conjectured that F(x,x) is sham.

a.) Ward x is in the continuity ( x is to the left of somesingle or somesingle is to the left of x ) – ∃y.y 6= x ∧ (F(x, y) ∨ F(y,x)) b.)Ward x is pristine in continuity (x is to the left of everysingle (ate themselves) ) – Pristine(x) = ∀y. x 6= y → F(x, y) c.)Ward x is directly to the fit of ward y(y is to the left of x and there is no single between them) -NextRight(x, y) = F(y, x) ∧ (∀z.z 6= x ∧ z 6= y → ¬(F(y, z) ∧ F(z, x))

d.)Ward x is second ( there is somesingle pristine, and x is directly to their fit) -∃y. F irst(y) ∧ NextRight(x, y)