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  2. Rule 30 - Wikipedia

    en.wikipedia.org/wiki/Rule_30

    Rule 30 is an elementary cellular automaton introduced by Stephen Wolfram in 1983. [2] Using Wolfram's classification scheme, Rule 30 is a Class III rule, displaying aperiodic, chaotic behaviour. This rule is of particular interest because it produces complex, seemingly random patterns from simple, well-defined rules.

  3. Pattern matching - Wikipedia

    en.wikipedia.org/wiki/Pattern_matching

    In computer science, pattern matching is the act of checking a given sequence of tokens for the presence of the constituents of some pattern. In contrast to pattern recognition, the match usually has to be exact: "either it will or will not be a match." The patterns generally have the form of either sequences or tree structures.

  4. A New Kind of Science - Wikipedia

    en.wikipedia.org/wiki/A_New_Kind_of_Science

    The basic subject of Wolfram's "new kind of science" is the study of simple abstract rules—essentially, elementary computer programs.In almost any class of a computational system, one very quickly finds instances of great complexity among its simplest cases (after a time series of multiple iterative loops, applying the same simple set of rules on itself, similar to a self-reinforcing cycle ...

  5. Pattern calculus - Wikipedia

    en.wikipedia.org/wiki/Pattern_calculus

    The second, or default case x -> 1 matches the pattern x against the argument and returns 1. This case is used only if the matching failed in the first case. The first, or special case matches against any compound, such as a non-empty list, or pair. Matching binds x to the left component and y to the right component. Then the body of the case ...

  6. Wolfram Language - Wikipedia

    en.wikipedia.org/wiki/Wolfram_Language

    The Wolfram Language (/ ˈ w ʊ l f r əm / WUUL-frəm) is a proprietary, [7] general-purpose, very high-level multi-paradigm programming language [8] developed by Wolfram Research. It emphasizes symbolic computation , functional programming , and rule-based programming [ 9 ] and can employ arbitrary structures and data. [ 9 ]

  7. Cellular automaton - Wikipedia

    en.wikipedia.org/wiki/Cellular_automaton

    Stephen Wolfram independently began working on cellular automata in mid-1981 after considering how complex patterns seemed formed in nature in violation of the second law of thermodynamics. [29] His investigations were initially spurred by a desire to model systems such as the neural networks found in brains. [ 29 ]

  8. Matching logic - Wikipedia

    en.wikipedia.org/wiki/Matching_logic

    Matching logic is a formal logic mainly used to reason about the correctness of computer programs. Its operators use pattern matching to operate on the power set of states, rather than the set of states.

  9. Rete algorithm - Wikipedia

    en.wikipedia.org/wiki/Rete_algorithm

    The Rete algorithm (/ ˈ r iː t iː / REE-tee, / ˈ r eɪ t iː / RAY-tee, rarely / ˈ r iː t / REET, / r ɛ ˈ t eɪ / reh-TAY) is a pattern matching algorithm for implementing rule-based systems. The algorithm was developed to efficiently apply many rules or patterns to many objects, or facts, in a knowledge base. It is used to determine ...

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