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Tree Stack Automaton
A tree stack automaton (plural: tree stack automata) is a formalism considered in automata theory. It is a finite-state automaton with the additional ability to manipulate a tree-shaped stack. It is an automaton with storageScott, Dana (1967). ''Some Definitional Suggestions for Automata Theory''. Journal of Computer and System Sciences, Vol. 1(2), pages 187–212doi:10.1016/s0022-0000(67)80014-x whose storage roughly resembles the configurations of a thread automaton. A restricted class of tree stack automata recognises exactly the languages generated by multiple context-free grammarsDenkinger, Tobias (2016). ''An automata characterisation for multiple context-free languages''. Proceedings of the 20th International Conference on Developments in Language Theory (DLT 2016). Lecture Notes in Computer Science, Vol. 9840, pages 138–150doi:10.1007/978-3-662-53132-7_12 (or linear context-free rewriting systems). Definition Tree stack For a finite and non-empty set , a ''tree stack o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Formalism (philosophy Of Mathematics)
In the philosophy of mathematics, formalism is the view that holds that statements of mathematics and logic can be considered to be statements about the consequences of the manipulation of strings (alphanumeric sequences of symbols, usually as equations) using established manipulation rules. A central idea of formalism "is that mathematics is not a body of propositions representing an abstract sector of reality, but is much more akin to a game, bringing with it no more commitment to an ontology of objects or properties than ludo or chess." According to formalism, mathematical statements are not "about" numbers, sets, triangles, or any other mathematical objects in the way that physical statements are about material objects. Instead, they are purely syntactic expressions—formal strings of symbols manipulated according to explicit rules without inherent meaning. These symbolic expressions only acquire interpretation (or semantics) when we choose to assign it, similar to how che ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
