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CADE
2008
Springer
16 years 6 months ago
Towards Fully Automated Axiom Extraction for Finite-Valued Logics
Abstract. We implement an algorithm for extracting appropriate collections of classic-like sound and complete tableaux rules for a large class of finite-valued logics. Its output c...
Dalmo Mendonca, João Marcos
LICS
2006
IEEE
16 years 15 days ago
Coinductive Proof Principles for Stochastic Processes
We give an explicit coinduction principle for recursively-defined stochastic processes. The principle applies to any closed property, not just equality, and works even when soluti...
Dexter Kozen
ECAI
2004
Springer
15 years 12 months ago
Extending Defeasible Logic and Defeasible Prolog
Abstract. Defeasible logic (DL) promotes enthymemic, argumentative reasoning on incomplete set of premisses retracted on the presence of contrary information. Defeasible Prolog (d-...
Ahti-Veikko Pietarinen
CSL
2001
Springer
15 years 11 months ago
On a Generalisation of Herbrand's Theorem
In this paper we investigate the purely logical rule of term induction, i.e. induction deriving numerals instead of arbitrary terms. In this system it is not possible to bound the ...
Matthias Baaz, Georg Moser
ELP
1993
15 years 10 months ago
Finitary Partial Inductive Definitions as a General Logic
We describe how the calculus of partial inductive definitions is used to represent logics. This calculus includes the powerful principle of definitional reflection. We describe two...
Lars-Henrik Eriksson