Free Modal Algebras: A Coalgebraic Perspective

In this paper we discuss a uniform method for constructing free modal and distributive modal algebras. This method draws on works by (Abramsky 2005) and (Ghilardi 1995). We revisit the theory of normal forms for modal logic and derive a normal form representation for positive modal logic. We also show that every finitely generated free modal and distributive modal algebra axiomatised by equations of rank 1 is a reduct of a temporal algebra.

• Type: Conference
• Year: 2007
• Where: CALCO
• Authors: Nick Bezhanishvili, Alexander Kurz
• Keywords: CALCO 2007, Distributive Modal Algebra, Free Modal, Modal Logic