Single Idea 9735

[catalogued under 4. Formal Logic / D. Modal Logic ML / 2. Tools of Modal Logic / b. Terminology of ML]

Full Idea

A 'frame' consists of a non-empty set G, whose members are generally called possible worlds, and a binary relation R, on G, generally called the accessibility relation. We say the frame is the pair so that a single object can be talked about.

Clarification

[the G and R are usually printed in a script font]

Gist of Idea

A 'frame' is a set G of possible worlds, with an accessibility relation R, written < G,R >

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

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