Propositional plausible logic: Introduction and implementation
Studia Logica 67 (2):243-269 (2001)
| Abstract | Plausible Logic allows defeasible deduction with arbitrary propositions, and yet when sufficiently simplified it is very similar to the Defeasible Logics of Billington and Nute. This paper presents Plausible Logic, explains some of the ideas behind the definitions, applies Plausible Logic to an example, and proves a coherence result which indicates that Plausible Logic is well behaved. We also report the first complete implementation of propositional Plausible Logic. The implementation has a web interface which makes it available to researchers and students everywhere. The implementation is evaluated experimentally, and is shown to be capable of handling tens of thousands of rules and sufficiently many disjunctions for realistic problems. | |||||||||
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G. Aldo Antonelli & Richmond H. Thomason (2002). Representability in Second-Order Propositional Poly-Modal Logic. Journal of Symbolic Logic 67 (3):1039-1054.
George Pólya (1968). Mathematics and Plausible Reasoning. Princeton, N.J.,Princeton University Press.
Valery Plisko (2009). A Survey of Propositional Realizability Logic. Bulletin of Symbolic Logic 15 (1):1-42.
Greg Restall (2005). Logic: An Introduction. Routledge.
Patrick Maher (1999). Inductive Logic and the Ravens Paradox. Philosophy of Science 66 (1):50-70.
Richard Zach (2004). Decidability of Quantified Propositional Intuitionistic Logic and S4 on Trees of Height and Arity ≤Ω. Journal of Philosophical Logic 33 (2):155-164.
Fabrice Correia (2000). Propositional Logic of Essence. Journal of Philosophical Logic 29 (3):295-313.
David Ellerman (2010). The Logic of Partitions: Introduction to the Dual of the Logic of Subsets. Review of Symbolic Logic 3 (2):287-350.
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