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AAAI
1994
13 years 9 months ago
Small is Beautiful: A Brute-Force Approach to Learning First-Order Formulas
We describe a method for learning formulas in firstorder logic using a brute-force, smallest-first search. The method is exceedingly simple. It generates all irreducible well-form...
Steven Minton, Ian Underwood
CORR
2008
Springer
148views Education» more  CORR 2008»
13 years 6 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 7 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
AIPS
2008
13 years 10 months ago
Stochastic Planning with First Order Decision Diagrams
Dynamic programming algorithms have been successfully applied to propositional stochastic planning problems by using compact representations, in particular algebraic decision diag...
Saket Joshi, Roni Khardon
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