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» Inductive Beluga: Programming Proofs
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SCP
2011
255views Communications» more  SCP 2011»
14 years 7 months ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes
JAR
2006
71views more  JAR 2006»
14 years 12 months ago
Mathematical Induction in Otter-Lambda
Otter-lambda is Otter modified by adding code to implement an algorithm for lambda unification. Otter is a resolution-based, clause-language first-order prover that accumulates de...
Michael Beeson
ICALP
2007
Springer
15 years 6 months ago
Co-Logic Programming: Extending Logic Programming with Coinduction
In this paper we present the theory and practice of co-logic programming (co-LP for brevity), a paradigm that combines both inductive and coinductive logic programming. Co-LP is a ...
Luke Simon, Ajay Bansal, Ajay Mallya, Gopal Gupta
LPNMR
2005
Springer
15 years 5 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
ILP
2003
Springer
15 years 5 months ago
Hybrid Abductive Inductive Learning: A Generalisation of Progol
The learning system Progol5 and the underlying inference method of Bottom Generalisation are firmly established within Inductive Logic Programming (ILP). But despite their success...
Oliver Ray, Krysia Broda, Alessandra Russo