From Mathfuzzlog
| Authors: |
|
| Title: |
Finite-valued reductions of infinite-valued logics |
| Journal: |
Archive for Mathematical Logic |
| Volume |
41 |
| Number |
4 |
| Pages: |
361-399 |
| Year: |
2002 |
Abstract
In this paper we present a method to reduce the decision problem of several infinite-valued propositional logics to their finite-valued counterparts. We apply our method to Łukasiewicz, Gödel and Product logics and to some of their combinations. As a byproduct we define sequent calculi for all these infinite-valued logics and we give an alternative proof that their tautology problems are in co-NP.
