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undecidable system

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  • System F — System F, also known as the polymorphic lambda calculus or the second order lambda calculus, is a typed lambda calculus. It was discovered independently by the logician Jean Yves Girard and the computer scientist John C. Reynolds. System F… …   Wikipedia

  • Undecidable problem — In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is impossible to construct an algorithm that leads to a yes or no answer the problem is not decidable.A decision problem is any …   Wikipedia

  • Type system — Type systems Type safety Inferred vs. Manifest Dynamic vs. Static Strong vs. Weak Nominal vs. Structural Dependent typing Duck typing Latent typing Linear typing Uniqueness typing …   Wikipedia

  • Semi-Thue system — In computer science and mathematics a Semi Thue system (also called a string rewriting system [Book and Otto, p. 36] ) is a type of term rewriting system. It is named after the Norwegian mathematician Axel Thue, who introduced systematic… …   Wikipedia

  • Primate basal ganglia system — The primate basal ganglia system is a symmetrical major cerebral system that has only recently been recognized. In the past, part of it was presented as motor or extrapyramidal , complementary to the corticospinal (pyramidal) system. Contrary to… …   Wikipedia

  • Tag system — A tag system is a deterministic computational model published by Emil Leon Post in 1943 as a simple form of Post canonical system. A tag system may also be viewed as an abstract machine, called a Post tag machine (not to be confused with Post… …   Wikipedia

  • Abstract rewriting system — In mathematical logic and theoretical computer science, an abstract rewriting system (also (abstract) reduction system or abstract rewrite system; abbreviation ARS) is a formalism that captures the quintessential notion and properties of… …   Wikipedia

  • formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction       the abstract study of propositions, statements, or assertively used …   Universalium

  • Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… …   Wikipedia

  • Decidability (logic) — In logic, the term decidable refers to the decision problem, the question of the existence of an effective method for determining membership in a set of formulas. Logical systems such as propositional logic are decidable if membership in their… …   Wikipedia

  • metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… …   Universalium

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