A fully logical inductive logic.

Inductive Logic Programming Beyond Logical Implication

This paper discusses the generalization of deenite Horn programs beyond the ordering of logical implication. Since the seminal paper on generalization of clauses based on subsumption, there are various extensions in this area. Especially in inductive logic programming(ILP), people are using various methods that approximate logical implication, such as inverse resolution(IR), relative least gene...

Inductive Logic Programming a logical approach to machine learning problems

Inductive logic and inductive reasoning are traditionally being studied in philosophy, for the very simple reason that yet no formalisation exists or any other universal consensus that would give both a status of their own. More recently however, induction has become of interest as well to artificial intelligence (AI), since it sets a comprehensive framework for artificial reasoning and learnin...

International Inductive Logic Programming Workshop Inductive Logic

This paper reviews our recent work on applying inductive logic programming to the construction of natural language processing systems. We have developed a system, Chill, that learns a parser from a training corpus of parsed sentences by inducing heuristics that control an initial overly-general shift-reduce parser. Chill learns syntactic parsers as well as ones that translate English database q...

A Quantum Inductive Logic

Logical Characterisations of Inductive Learning

This chapter presents a logical analysis of induction. Contrary to common approaches to inductive logic that treat inductive validity as a real-valued generalisation of deductive validity, we argue that the only logical step in induction lies in hypothesis generation rather than evaluation. Inspired by the seminal paper of Kraus, Lehmann and Magidor [Kraus et al., 1990] we analyse the logic of ...