# A theory of the learnable

@inproceedings{Valiant1984ATO, title={A theory of the learnable}, author={Leslie G. Valiant}, booktitle={STOC '84}, year={1984} }

Humans appear to be able to learn new concepts without needing to be programmed explicitly in any conventional sense. [... ] Key Result The methodology and results suggest concrete principles for designing realistic learning systems. Expand

## 4,642 Citations

### PAC-learning is Undecidable

- Computer ScienceArXiv
- 2018

It is proved that testing for PAC-learnability is undecidable in the Turing sense, exposing a fundamental limitation in the decidability of learning.

### Oblivious PAC Learning of Concept Hierarchies

- Computer ScienceAAAI
- 1992

An extension of the Probably Approximately Correct (PAC) learning model is introduced to study the problem of learning inclusion hierarchies of concepts (sometimes called is-a hierarchies) from random examples with the property that each run is oblivious of all other runs.

### On Exploiting Knowledge and Concept Use in Learning Theory

- EducationALT
- 1997

This work discusses analogous results from the literature on human concept learning, and reviews current theories as to how people are able to more effectively learn in the presence of background knowledge and the discovery of information via execution of tasks related to the concept acquisition process.

### livious ear ie

- Computer Science
- 1992

An extension of the Probably Approximately Correct (PAC) learning model is introduced to study the problem of learning inclusion hierarchies of concepts (sometimes called is-a hierarchies) from random examples with the property that each run is oblivious of all other runs.

### Teaching with IMPACT

- Computer ScienceDeveloping Expert Learners: A Roadmap for Growing Confident and Competent Students
- 2019

A new learning framework that provides a role for a knowledgeable, benevolent teacher to guide the process of learning a target concept in a series of "curricular" phases or rounds is proposed, enabling simple, efficient learners to acquire very complex concepts from examples.

### On Learnability with Computable Learners

- Computer Science
- 2020

The notion of CPAC learnability is proposed, by adding some basic computability requirements into a PAC learning framework, and it is shown that in this framework learnability of a binary hypothesis class is not implied by finiteness of its VC-dimension anymore.

### Learning From a Monotonous, Ignorant Teacher

- Computer Science, Mathematics
- 1997

A class of functions is described where a computer can e ciently learn when it is only permitted to pose membership queries, which has interesting applications in graph theory and data mining.

### Learning fallible finite state automata

- Computer ScienceCOLT '93
- 1993

A polynomial time algorithm using membership queries for correcting and learning fallible DFA’s under the uniform distribution is presented.

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