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» Mechanizing Inductive Reasoning
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115
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ELP
1993
15 years 6 months ago
Finitary Partial Inductive Definitions as a General Logic
We describe how the calculus of partial inductive definitions is used to represent logics. This calculus includes the powerful principle of definitional reflection. We describe two...
Lars-Henrik Eriksson
115
Voted
TPHOL
2002
IEEE
15 years 6 months ago
The 5 Colour Theorem in Isabelle/Isar
Based on an inductive definition of triangulations, a theory of undirected planar graphs is developed in Isabelle/HOL. The proof of the 5 colour theorem is discussed in some detai...
Gertrud Bauer, Tobias Nipkow
130
Voted
ALT
2004
Springer
15 years 11 months ago
Probabilistic Inductive Logic Programming
Probabilistic inductive logic programming, sometimes also called statistical relational learning, addresses one of the central questions of artificial intelligence: the integratio...
Luc De Raedt, Kristian Kersting
ICCD
2002
IEEE
110views Hardware» more  ICCD 2002»
15 years 10 months ago
Efficient PEEC-Based Inductance Extraction Using Circuit-Aware Techniques
Practical approaches for on-chip inductance extraction to obtain a sparse, stable and accurate inverse inductance matrix K are proposed. The novelty of our work is in using circui...
Haitian Hu, Sachin S. Sapatnekar
103
Voted
TPHOL
2003
IEEE
15 years 7 months ago
Inductive Invariants for Nested Recursion
Abstract. We show that certain input-output relations, termed inductive invariants are of central importance for termination proofs of algorithms defined by nested recursion. Indu...
Sava Krstic, John Matthews