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» Automated Termination Proofs with AProVE
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ICLP
1999
Springer
13 years 11 months ago
Bounded Nondeterminism of Logic Programs
We introduce the notion of bounded nondeterminism for logic programs and queries. A program and a query have bounded nondeterminism if there are finitely many refutations for the...
Dino Pedreschi, Salvatore Ruggieri
CSL
2007
Springer
14 years 1 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
CADE
2003
Springer
14 years 7 months ago
Algorithms for Ordinal Arithmetic
Ordinals form the basis for termination proofs in ACL2. Currently, ACL2 uses a rather inefficient representation for the ordinals up to 0 and provides limited support for reasoning...
Panagiotis Manolios, Daron Vroon
LPAR
1999
Springer
13 years 11 months ago
Extensions to the Estimation Calculus
Abstract. Walther’s estimation calculus was designed to prove the termination of functional programs, and can also be used to solve the similar problem of proving the well-founde...
Jeremy Gow, Alan Bundy, Ian Green
IJCAI
2003
13 years 8 months ago
Automated Reasoning: Past Story and New Trends
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
Andrei Voronkov