Seventh Annual IEEE Symposium on

Logic in Computer Science (LICS 1992)

Paper: Zero-one laws for modal logic (at LICS 1992)

Authors: Halpern, J.Y. Kapron, B.M.


It is shown that a 0-1 law holds for propositional modal logic, both for structure validity and for frame validity. In the case of structure validity, the result follows easily from the well-known 0-1 law for first-order logic. However, the proof gives considerably more information. It leads to an elegant axiomatization for almost-sure structure validity, and sharper complexity bounds. Since frame validity can be reduced to a II11 formula, the 0-1 law for frame validity helps delineate when 0-1 laws exist for second-order logics


    author = 	 {Halpern, J.Y. and Kapron, B.M.},
    title = 	 {Zero-one laws for modal logic},
    booktitle =  {Proceedings of the Seventh Annual IEEE Symp. on Logic in Computer Science, {LICS} 1992},
    year =	 1992,
    editor =	 {Andre Scedrov},
    month =	 {June}, 
    pages =      {369--380},
    location =   {Santa Cruz, CA, USA}, 
    publisher =	 {IEEE Computer Society Press}