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

**Joseph Y. Halpern Bruce M. Kapron**

### Abstract

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 II_{1}^{1} formula, the 0-1 law for frame validity helps delineate when 0-1 laws exist for second-order logics

### BibTeX

@InProceedings{HalpernKapron-Zeroonelawsformodal, author = {Joseph Y. Halpern and Bruce M. Kapron}, title = {Zero-one laws for modal logic}, booktitle = {Proceedings of the Seventh Annual IEEE Symposium on Logic in Computer Science (LICS 1992)}, year = {1992}, month = {June}, pages = {369--380}, location = {Santa Cruz, CA, USA}, publisher = {IEEE Computer Society Press} }