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Single Idea 9737

[from 'First-Order Modal Logic' by M Fitting/R Mendelsohn, in 4. Formal Logic / D. Modal Logic ML / 2. Tools of Modal Logic / a. Symbols of ML ]

Full Idea

The symbol ||- is used for the 'forcing' relation, as in 'Γ ||- P', which means that P is true in world Γ.

Clarification

[There is actually no space between the second vertical line and the horizontal line]

Gist of Idea

The symbol ||- is the 'forcing' relation; 'Γ ||- P' means that P is true in world Γ

Source

M Fitting/R Mendelsohn (First-Order Modal Logic [1998], 1.6)

Book Reference

Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.12