Statement
Formally, a function is space-constructible if and there exists a Turing machine which computes the function in space when starting with an input, where represents a string of s. Most of the common functions that we work with are space-constructible, including polynomials, exponents, and logarithms.
For every space-constructible function 
, there exists a language that is decidable in space but not in space .
Read more about this topic: Space Hierarchy Theorem
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