Probability Measures in the Logic of Nilpotent Minimum

作者：Aguzzoli Stefano^*; Gerla Brunella

来源：Studia Logica, 2010, 94(2): 151-176.

DOI：10.1007/s11225-010-9228-8

• Nilpotent Minimum logic
• probability measure
• state
• Godel logic

We axiomatize the notion of state over finitely generated free NM-algebras, the Lindenbaum algebras of pure Nilpotent Minimum logic. We show that states over the free n-generated NM-algebra NMn exactly correspond to integrals of elements of NMn with respect to Borel probability measures.

• 出版日期2010-3