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CADE
2005
Springer
14 years 8 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
2006
13 years 9 months ago
Planning with First-Order Temporally Extended Goals using Heuristic Search
Temporally extended goals (TEGs) refer to properties that must hold over intermediate and/or final states of a plan. The problem of planning with TEGs is of renewed interest becau...
Jorge A. Baier, Sheila A. McIlraith
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
LICS
2009
IEEE
14 years 2 months ago
The Structure of First-Order Causality
Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing d...
Samuel Mimram
STACS
2001
Springer
14 years 7 days ago
A Toolkit for First Order Extensions of Monadic Games
In 1974 R. Fagin proved that properties of structures which are in NP are exactly the same as those expressible by existential second order sentences, that is sentences of the form...
David Janin, Jerzy Marcinkowski