Automated theorem proving | Logic in computer science | Automated reasoning | Theoretical computer science

Automated reasoning

In computer science, in particular in knowledge representation and reasoning and metalogic, the area of automated reasoning is dedicated to understanding different aspects of reasoning. The study of automated reasoning helps produce computer programs that allow computers to reason completely, or nearly completely, automatically. Although automated reasoning is considered a sub-field of artificial intelligence, it also has connections with theoretical computer science and philosophy. The most developed subareas of automated reasoning are automated theorem proving (and the less automated but more pragmatic subfield of interactive theorem proving) and automated proof checking (viewed as guaranteed correct reasoning under fixed assumptions). Extensive work has also been done in reasoning by analogy using induction and abduction. Other important topics include reasoning under uncertainty and non-monotonic reasoning. An important part of the uncertainty field is that of argumentation, where further constraints of minimality and consistency are applied on top of the more standard automated deduction. John Pollock's OSCAR system is an example of an automated argumentation system that is more specific than being just an automated theorem prover. Tools and techniques of automated reasoning include the classical logics and calculi, fuzzy logic, Bayesian inference, reasoning with maximal entropy and many less formal ad hoc techniques. (Wikipedia).

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Automation

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Related pages

Inference engine | Isabelle (proof assistant) | Fundamental theorem of algebra | Knowledge representation and reasoning | Proof assistant | Theoretical computer science | Commonsense reasoning | Logic Theorist | Conference on Automated Deduction | Logic programming | Non-monotonic logic | AI winter | Jordan curve theorem | Automated theorem proving | Metalogic | International Conference on Automated Reasoning with Analytic Tableaux and Related Methods | Case-based reasoning | Coq | Mizar system | Presburger arithmetic | Atle Selberg | International Joint Conference on Automated Reasoning | Uncertainty | Principle of maximum entropy | Reasoning system | Artificial intelligence | Association for Automated Reasoning | Boolean satisfiability problem | Gotthold Eisenstein | Kepler conjecture | Inductive reasoning | Formal proof | HOL Light | Boolean Pythagorean triples problem | Brouwer fixed-point theorem | Fundamental theorem of calculus | Four color theorem | Prime number theorem | Journal of Automated Reasoning | Principia Mathematica | Semantic reasoner | Bertrand Russell | Nqthm | Paul Erdős | Alfred North Whitehead | Fuzzy logic | Bayesian inference | Abductive reasoning