TY - JOUR
T1 - A proof theoretical approach to default reasoning I
T2 - Tableaux for default logic
AU - Amati, Gianni
AU - Aiello, Luigia Carlucci
AU - Gabbay, Dov
AU - Pirri, Fiora
PY - 1996/4
Y1 - 1996/4
N2 - We present a general proof theoretical methodology for default systems. Given a default theory 〈W, D〉, the default rules D are simply understood as restrictions on the tableaux construction of the logic. Different default approaches have their own way of understanding these restrictions and executing them. For each default approach (such as Reiter, Brewka or Lukaszewicz), the allowable default extensions can be obtained from the default tableau construction. The advantage of our approach, besides being simple and neat, is in its generality: it allows for the development of a default theory for any logic with a tableau formulation, such as intuitionistic logic, linear logic or modal logic.
AB - We present a general proof theoretical methodology for default systems. Given a default theory 〈W, D〉, the default rules D are simply understood as restrictions on the tableaux construction of the logic. Different default approaches have their own way of understanding these restrictions and executing them. For each default approach (such as Reiter, Brewka or Lukaszewicz), the allowable default extensions can be obtained from the default tableau construction. The advantage of our approach, besides being simple and neat, is in its generality: it allows for the development of a default theory for any logic with a tableau formulation, such as intuitionistic logic, linear logic or modal logic.
KW - Default systems
KW - Modal logic
KW - Tableau systems
UR - http://www.scopus.com/inward/record.url?scp=0043128785&partnerID=8YFLogxK
U2 - 10.1093/logcom/6.2.205
DO - 10.1093/logcom/6.2.205
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AN - SCOPUS:0043128785
SN - 0955-792X
VL - 6
SP - 205
EP - 231
JO - Journal of Logic and Computation
JF - Journal of Logic and Computation
IS - 2
ER -