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» Decidability and Undecidability in Probability Logic
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IGPL
2008
124views more  IGPL 2008»
13 years 8 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
CORR
2010
Springer
106views Education» more  CORR 2010»
13 years 8 months ago
Temporal Logics on Words with Multiple Data Values
The paper proposes and studies temporal logics for attributed words, that is, data words with a (finite) set of (attribute,value)-pairs at each position. It considers a basic logi...
Ahmet Kara, Thomas Schwentick, Thomas Zeume
CADE
2005
Springer
14 years 9 months ago
The Decidability of the First-Order Theory of Knuth-Bendix Order
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
Ting Zhang, Henny B. Sipma, Zohar Manna
AAAI
1990
13 years 9 months ago
Decidable Reasoning in First-Order Knowledge Bases with Perfect Introspection
Since knowledge bases (KBs) are usually incomplete, they should be able to provide information regarding their own incompleteness, which requires them to introspect on what they k...
Gerhard Lakemeyer
CSL
2006
Springer
14 years 8 days ago
On Rational Trees
Rational graphs are a family of graphs defined using labelled rational transducers. Unlike automatic graphs (defined using synchronized transducers) the first order theory of these...
Arnaud Carayol, Christophe Morvan