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A constant-space sequential model of computation for first-order logic - MaRDI portal

A constant-space sequential model of computation for first-order logic (Q1271562)

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scientific article; zbMATH DE number 1220921
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A constant-space sequential model of computation for first-order logic
scientific article; zbMATH DE number 1220921

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    A constant-space sequential model of computation for first-order logic (English)
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    10 November 1998
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    A natural sequential model of computation with a constant amount of read/write work space, despite unlimited (polynomial) access to read-only output, is defined. The model is deterministic, uniform, and sequential. The constant work space is modeled by a finite number of destructively read Boolean variables, assignable by formulas over the canonical Boolean operations. It is shown that computation on this model is equivalent to expressibility in first-order logic, giving a duality between (read-once) constant-space serial algorithms and constant-time parallel algorithms.
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    descriptive complexity theory
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    sequential model of computation
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    constant work space
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    expressibility in first-order logic
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    constant-space serial algorithms
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    constant-time parallel algorithms
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