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Języki publikacji
Abstrakty
A logic called sequence-indexed linear logic (SLL) is proposed to appropriately formalize resource-sensitive reasoning with sequential information. The completeness and cut-elimination theorems for SLL are proved, and SLL and a fragment of SLL are shown to be undecidable and decidable, respectively. As an application of SLL, some specifications of secure password authentication systems are discussed.
Wydawca
Czasopismo
Rocznik
Tom
Strony
51--70
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Faculty of Information Technology and Business, Cyber University, Japan Cyber Educational Institute, Ltd., 4F of Izumi Shiba-kouen Building, 1-6-8 Shiba-kouen, Minato-ku, Tokyo 105-0011, Japan
autor
- Department of Electrical Engineering and Computer Science, Iwate University, 4-3-5 Ueda, Morioka, Iwate 020-8551, Japan
Bibliografia
- [1] Girard, J.-Y.: Linear logic, Theoretical Computer Science 50, 1987, 1-102.
- [2] Kamide, N.: Combining soft linear logic and spatio-temporal operators, Journal of Logic and Computation 14 (5), 2004, 625-650.
- [3] Kamide, N.: Linear and affine logics with temporal, spatial and epistemic operators, Theoretical Computer Science 353 (1-3), 2006, 165-207.
- [4] Kamide, N.: A proof system for temporal reasoning with sequential information, Proceedings of the 20th Brazilian Symposium on Artificial Intelligence (SBIA 2010), Lecture Notes in Artificial Intelligence 6404, Springer, 2010, 283-292.
- [5] Kamide, N. and Kaneiwa, K.: Extended full computation-tree logic with sequence modal operator: Representing hierarchical tree structures, Proceedings of the 22nd Australasian Joint Conference on Artificial Intelligence (AI’09), Lecture Notes in Artificial Intelligence 5866, 2009, 485-494.
- [6] Kamide, N. and Kaneiwa, K.: Resource-sensitive reasoning with sequential information, Proceedings of the 23rd Australasian Joint Conference on Artificial Intelligence (AI’10), Lecture Notes in Artificial Intelligence, 6464,2010, 22-31.
- [7] Kaneiwa, K.: Order-sorted logic programming with predicate hierarchy, Artificial Intelligence 158 (2), 2004, 155-188.
- [8] Kaneiwa, K. and Kamide, N.: Sequence-indexed linear-time temporal logic: Proof system and application, Applied Artificial Intelligence 24 (10), 2010, 896-913.
- [9] Kaneiwa, K. and Nguyen, H. P.: An Order-Sorted Query System for Sort, Predicate, and Meta-Predicate Hierarchies, Knowledge and Information Systems, Springer, 2012, published online.
- [10] Lincoln, P., Mitchell, J.C., Scedrov, A. and Shankar, N.: Decision problems for propositional linear logic, Annals of Pure and Applied Logic 56, 1992, 239-311.
- [11] Miller, D.: An overview of linear logic programming, in: London Mathematical Society Lecture Note Series 316 (Linear logic in computer science) (T. Ehrhard, J.-Y. Girard, P. Ruet and P. Scott Eds.), Cambridge University Press, 2004, 119-150.
- [12] Okada, M.: A uniform semantic proof for cut-elimination and completeness of various first and higher order logics, Theoretical Computer Science 281, 2002,471-498.
- [13] Pym, D.J., O’Hearn, P.W. and Yang, H.: Possible worlds and resources: The semantics of BI, Theoretical Computer Science 315, 2004, 257-305.
- [14] Russell, S. and Norvig, P.: Artificial intelligence: A modern approach (Second edition), Pearson Education, Inc., 2003.
- [15] Wansing, H.: The logic of information structures, Lecture Notes in Artificial Intelligence 681, 1993, 1-163.
Typ dokumentu
Bibliografia
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