---
title: "The logic theory machine — paper by Newell and Simon (1956)"
description: "The authors describe the system in an information-processing (list-based) language and report that it finds proofs for… Cited by 39 papers here."
authors: ["Allen Newell", "Herbert A. Simon"]
year: 1956
venue: "IEEE Transactions on Information Theory"
source: "https://www.rand.org/pubs/papers/P868.html"
licence: "All rights reserved — free to read at the source"
summary_licence: "Elamur Cosmic License"
canonical: "https://research.elamur.ai/free/en/papers/newell-1956-logic-theory-machine-complex-information/"
---
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# The logic theory machine: A complex information processing system

**Authors:** [Allen Newell](https://md.research.elamur.ai/free/en/authors/allen-newell/) and Herbert A. Simon · **Year:** 1956 · **Venue:** IEEE Transactions on Information Theory · **Publisher:** [Institute of Electrical and Electronics Engineers](https://md.research.elamur.ai/free/en/publishers/institute-of-electrical-and-electronics-engineers/) · **Licence:** All rights reserved — free to read at the source

**Links:** [Publisher's page](https://doi.org/10.1109/tit.1956.1056797) · [PDF](https://web.archive.org/web/20250720194300id_/https://www.rand.org/content/dam/rand/pubs/papers/2024/P868.pdf) · [OpenAlex](https://openalex.org/W2132453167)

**Citations:** 836 citations (OpenAlex, 2026-10-14) · [39](https://md.research.elamur.ai/free/en/papers/newell-1956-logic-theory-machine-complex-information/cited-by/) in our library, of the 149,439 papers whose bibliographies we read

## Summary
**Note:** The supplied PDF extraction contains only empty page markers (pp. 1–64) and no text. This summary is based on the paper's widely documented content and has not been checked against the source. Please verify it, especially any figures, before adding it to the library.

Newell and Simon ask whether a machine can solve problems that people solve through insight and trial-and-error rather than a guaranteed procedure. Their test domain is proving theorems of sentential logic as in Whitehead and Russell's *Principia Mathematica*. They specify the Logic Theory Machine (Logic Theorist, LT), a program that starts from the *Principia* axioms and previously proved theorems. Instead of enumerating all possible proofs (the exhaustive "British Museum" approach), LT uses heuristic methods: substitution, detachment and chaining. These methods mostly work backward from the target theorem, guided by similarity tests between expressions. The authors describe the system in an information-processing (list-based) language and report that it finds proofs for many Chapter 2 theorems. The work matters because it introduced heuristic search, list processing and symbolic problem solving as a computational model of human thinking. It is often cited as the first artificial intelligence program.

## Key points
- **Domain:** propositional calculus from *Principia Mathematica*, Chapter 2, starting from its five basic axioms.
- **Methods:** substitution, detachment, and forward/backward chaining, used heuristically rather than as an exhaustive algorithm.
- **Implementation:** a list-processing information language (IPL lineage), associated with RAND's JOHNNIAC computer. J. C. Shaw also contributed to the project.
- **Commonly cited result:** proofs for 38 of the first 52 Chapter 2 theorems. This figure is usually traced to the follow-up "Empirical Explorations" paper (1957), so check it against this text.
- **Significance:** presented at the 1956 Dartmouth-era meetings; it laid the groundwork for heuristic search and cognitive simulation in AI.

*Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.*

## Institutions

- [Carnegie Mellon University](https://md.research.elamur.ai/free/en/universities/carnegie-mellon-university/) — University, Pittsburgh, United States · 598 works · 191,226 citations
- [RAND Corporation](https://md.research.elamur.ai/free/en/thinktanks/rand-corporation/) — Think tank, Santa Monica, United States · 3 works · 913 citations

📚 Shelves (2): [🖥️ Computer Science](https://md.research.elamur.ai/free/en/shelves/computer-science/) · 18,614 works · [🤖 Artificial Intelligence](https://md.research.elamur.ai/free/en/shelves/computer-science/artificial-intelligence/) · 17,965 works

## Cite

Cite as: Allen Newell and Herbert A. Simon. 1956. The logic theory machine: A complex information processing system. IEEE Transactions on Information Theory.

The paper itself, not this page. BibTeX from the library's record of the work.

```bibtex
@article{newell1956logic,
  title = {{The logic theory machine: A complex information processing system}},
  author = {Allen Newell and Herbert A. Simon},
  journal = {IEEE Transactions on Information Theory},
  year = {1956},
  doi = {10.1109/tit.1956.1056797},
  url = {https://doi.org/10.1109/tit.1956.1056797}
}
```

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*Updated 2 November 2026*
