Artificial Intelligence
Artificial Intelligence
On the relation between default and autoepistemic logic
Artificial Intelligence
Foundations of deductive databases and logic programming
Towards a theory of declarative knowledge
Foundations of deductive databases and logic programming
Negation as failure using tight derivations for general logic programs
Foundations of deductive databases and logic programming
Nonmonotonic Logic II: Nonmonotonic Modal Theories
Journal of the ACM (JACM)
On Logical Foundations of the ATMS
ECAI '90 Workshop on Truth Maintenance Systems
Semantical considerations on nonmonotonic logic
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 1
Computing stable models by using the ATMS
AAAI'90 Proceedings of the eighth National conference on Artificial intelligence - Volume 1
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Truth maintenance systems have been studied by many authors and have become powerful tools in AI reasoning systems. From the viewpoint of commonsense reasoning, Doyle's TMS seems most interesting, for it allows nonmonotonic justifications. Its semantics, however, has remained unclear. In this paper, we shall give its declarative description in terms of autoepistemic logic, a kind of nonmonotonic logic. That is, we shall exhibit a one-to-one correspondence between states acceptable to the TMS and stable expansions of autoepistemic formulas attached to justifications. Thus, the TMS turns out to be a theorem prover of autoepistemic logic. For the practical interest, our result also suggests the possibility of implementing better TMS algorithms by using the theorem proving method of autoepistemic logic.