Abstract
We consider several monotonic logics and show how our framework is well-suited to handle inconsistency in them. It is particularly important to note that reasoning about inconsistency in many of these logics has not been studied before. As a consequence, our general framework for reasoning about inconsistency is not only novel, but it also yields new algorithms and new results for such reasoning in existing logics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Note that a definite clause is a Horn clause where exactly one L i is positive. It is well known that any set of definite clauses is always consistent.
References
Artale A (2008) Formal methods: linear temporal logic. http://www.inf.unibz.it/~artale/FM/slide3.pdf
Cayrol C, Lagasquie-Schiex M (1994) On the complexity of non-monotonic entailment in syntax-based approaches. In: ECAI workshop on algorithms, complexity and commonsense reasoning
Cohn AG, Renz J (2008) Qualitative spatial representation and reasoning. In: van Hermelen F, Lifschitz V, Porter B (eds) Handbook of knowledge representation. Elsevier, Amsterdam/Boston, pp 551–596
Emerson EA (1990) Temporal and modal logic. In: Handbook of theoretical computer science. Elsevier, Amsterdam/New York, pp 995–1072
Gabbay DM, Pnueli A, Shelah S, Stavi J (1980) On the temporal basis of fairness. In: Symposium on principles of programming languages (POPL), Las Vegas, pp 163–173
Levesque HJ (1984) A logic of implicit and explicit belief. In: National conference on artificial intelligence (AAAI), Austin, pp 198–202
Manna Z, Pnueli A (1992) The temporal logic of reactive and concurrent systems: specification. Springer, New York
Nilsson NJ (1986) Probabilistic logic. Artif Intell 28(1):71–87
Papadimitriou CH (1994) Computational complexity. Addison-Wesley, Reading
Pnueli A (1977) The temporal logic of programs. In: Symposium on foundations of computer science (FOCS), Providence, pp 46–57
Randell DA, Cui Z, Cohn AG (1992) A spatial logic based on regions and connection. In: Principles of knowledge representation and reasoning (KR), Cambridge, pp 165–176
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 The Author(s)
About this chapter
Cite this chapter
Martinez, M.V., Molinaro, C., Subrahmanian, V.S., Amgoud, L. (2013). Handling Inconsistency in Monotonic Logics. In: A General Framework for Reasoning On Inconsistency. SpringerBriefs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6750-2_4
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6750-2_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6749-6
Online ISBN: 978-1-4614-6750-2
eBook Packages: Computer ScienceComputer Science (R0)