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» Certification of Automated Termination Proofs
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CADE
2008
Springer
15 years 9 months ago
Automated Induction with Constrained Tree Automata
We propose a procedure for automated implicit inductive theorem proving for equational specifications made of rewrite rules with conditions and constraints. The constraints are int...
Adel Bouhoula, Florent Jacquemard
ICLP
1999
Springer
15 years 1 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
85
Voted
CSL
2007
Springer
15 years 3 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
15 years 9 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
95
Voted
CADE
2010
Springer
14 years 8 months ago
Monotonicity Criteria for Polynomial Interpretations over the Naturals
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. In an automated setting, termination tools are concerned with parametric polynomi...
Friedrich Neurauter, Aart Middeldorp, Harald Zankl