Variations on pushdown machines (Detailed Abstract)
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Nondeterministic tape bounded turing machines
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On the Tape Complexity of Deterministic Context-Free Languages
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Tree-size bounded alternation(Extended Abstract)
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The language intersection problem for non-recursive context-free grammars
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Our main result, theorem 2, gives a bound on the storage required for a Turing machine to simulate certain time-bounded pushdown machines. The theorem is a generalization of the result appearing in [3] stating that any context-free language can be recognized by a deterministic Turing machine within storage (log n)2. We introduce a combinatorial object, called a path system, develop its theory briefly, and use the theory to prove both the result on pushdown machines and the result on context free languages, as well as a third result. The third result is the Theorem of Savitch [5] stating that a non-deterministic L(n) - storage bounded Turing machine can be simulated by a deterministic (L(n))2 - storage bounded Turing machine.