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- Leaf_language abstract "In computational complexity theory, a leaf language is a method of characterizing a complexity class by formalizing what it means for a machine to "accept" an input.Several complexity classes are typically defined in terms of a polynomial-time nondeterministic Turing machine, where each branch can either accept or reject, and the entire machine accepts or rejects as some function of the branches' conditions. For example, a non-deterministic Turing machine accepts if at least one branch accepts, and rejects only if all branches reject. A co-non-deterministic Turing machine, on the other hand, accepts only if all branches accept, and rejects if any branch rejects. Many classes can be defined in this fashion.We can then formalize this by examining the formal language associated with each acceptance condition. We assume that the tree is ordered, and read the accept/reject strings off the leaves of the computation tree. For example, the nondeterministic machine will accept iff the leaf string is in the language {0, 1}*1{0, 1}*, and will reject iff the leaf string is in the language 0*.".
- Leaf_language wikiPageID "11833766".
- Leaf_language wikiPageLength "1862".
- Leaf_language wikiPageOutDegree "8".
- Leaf_language wikiPageRevisionID "671130073".
- Leaf_language wikiPageWikiLink Category:Computational_complexity_theory.
- Leaf_language wikiPageWikiLink Co-non-deterministic_Turing_machine.
- Leaf_language wikiPageWikiLink Complexity_class.
- Leaf_language wikiPageWikiLink Computational_complexity_theory.
- Leaf_language wikiPageWikiLink Formal_language.
- Leaf_language wikiPageWikiLink If_and_only_if.
- Leaf_language wikiPageWikiLink Iff.
- Leaf_language wikiPageWikiLink Non-deterministic_Turing_machine.
- Leaf_language wikiPageWikiLink Nondeterministic_Turing_machine.
- Leaf_language wikiPageWikiLink Polynomial-time.
- Leaf_language wikiPageWikiLink Time_complexity.
- Leaf_language hasPhotoCollection Leaf_language.
- Leaf_language wikiPageUsesTemplate Template:Cite_book.
- Leaf_language wikiPageUsesTemplate Template:Cite_journal.
- Leaf_language wikiPageUsesTemplate Template:Orphan.
- Leaf_language subject Category:Computational_complexity_theory.
- Leaf_language hypernym Method.
- Leaf_language type Article.
- Leaf_language type Software.
- Leaf_language type Article.
- Leaf_language comment "In computational complexity theory, a leaf language is a method of characterizing a complexity class by formalizing what it means for a machine to "accept" an input.Several complexity classes are typically defined in terms of a polynomial-time nondeterministic Turing machine, where each branch can either accept or reject, and the entire machine accepts or rejects as some function of the branches' conditions.".
- Leaf_language label "Leaf language".
- Leaf_language sameAs m.02rt_t4.
- Leaf_language sameAs Q6508859.
- Leaf_language sameAs Q6508859.
- Leaf_language wasDerivedFrom Leaf_language?oldid=671130073.
- Leaf_language isPrimaryTopicOf Leaf_language.