Recursive turing machines

The Turing machine model is extended to allow for recursive calls and the basic theory of these machines is developed. The model is also used to study the following additional topics: The time and storage needed to implement recursive algorithms by non-recursive algorithms, the storage needed to imp...

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Veröffentlicht in:International journal of computer mathematics Jg. 6; H. 1; S. 3 - 31
1. Verfasser: Savitch, Walter J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Gordon and Breach Science Publishers 01.01.1977
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ISSN:0020-7160, 1029-0265
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Abstract The Turing machine model is extended to allow for recursive calls and the basic theory of these machines is developed. The model is also used to study the following additional topics: The time and storage needed to implement recursive algorithms by non-recursive algorithms, the storage needed to implement non-deterministic algorithms by deterministic algorithms, and the implementation of recursive algorithms by means of stack machines. Some attention is given to time bounds but the emphasis is on storage-bounded computations.
AbstractList The Turing machine model is extended to allow for recursive calls and the basic theory of these machines is developed. The model is also used to study the following additional topics: The time and storage needed to implement recursive algorithms by non-recursive algorithms, the storage needed to implement non-deterministic algorithms by deterministic algorithms, and the implementation of recursive algorithms by means of stack machines. Some attention is given to time bounds but the emphasis is on storage-bounded computations.
Author Savitch, Walter J.
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Cites_doi 10.1016/S0022-0000(70)80006-X
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References Hartmanis J. (CIT0002) 1965
Savitch W. J. (CIT0004) 1970; 4
Cook S. A. (CIT0001) 1971; 18
Hopcroft J. E. (CIT0003) 1969
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  start-page: 177
  year: 1970
  ident: CIT0004
  publication-title: J. Comput. System Sci.
  doi: 10.1016/S0022-0000(70)80006-X
– volume-title: Formal Languages and Their Relation to Automata
  year: 1969
  ident: CIT0003
– start-page: 179
  volume-title: IEEE Conference Record on Switching Theory and Logical Design
  year: 1965
  ident: CIT0002
– volume: 18
  start-page: 4
  year: 1971
  ident: CIT0001
  publication-title: J. ACM.
  doi: 10.1145/321623.321625
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Snippet The Turing machine model is extended to allow for recursive calls and the basic theory of these machines is developed. The model is also used to study the...
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StartPage 3
SubjectTerms auxiliary PDM
non-deterministic algorithm
recursive algorithm
stack machine
tape complexity
time complexity
Turing machine
Title Recursive turing machines
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