| Title | T-norm Based Logics With n-Contraction |
| Publication Type | Journal Article |
| Year of Publication | 2002 |
| Authors | Ciabattoni A, Esteva F, Godo L |
| Journal | Neural Network World |
| Volume | 12 |
| Number | 5 |
| Pagination | 441-452 |
| Abstract | We consider two families of fuzzy propositional logics obtained by extending MTL and IMTL with the n-contraction axiom, for n>=2. These logics - called Cn-MTL and Cn-IMTL - range from Gödel and classical logic (when n=2) to MTL and IMTL (when n tends to infinity), respectively. We investigate the t-norm based semantics and the proof theory for Cn-MTL and Cn-IMTL. We show standard completeness and suitable analytic hipersequent calculi for them. |
