Title | A calculus and complexity bound for minimal conditional logic |
Authors | Nicola Olivetti, dipartimento di Informatica,
Universita'di Torino, Italia
Camilla Schwind, LIM, Faculte'de Sciences de Luminy, Marseille, France |
Main Fields | 4. computational complexity
20. theory of knowledge bases |
Other Main Fields | automated deduction
logics for artificial intelligence |
Abstract + Keywords | In this paper, we introduce a cut-free
sequent calculus
for minimal conditional logic CK and three extensions of it: namely, with ID, MP and both of them. The calculus uses labels and transition formulas and can be used to prove decidability and space complexity bounds for the respective logics. As a first result, we show that CK can be decided in O(n log n) space. |