A note on the expressive power of linear orders

Details A note on the expressive power of linear orders A note on the expressive power of linear orders

2011-11-25

arxiv.org/abs/1111.5901v2

LMCS 7 (4:7) 2011

Computer Science

Logic in Computer Science

Scientific paper

10.2168/LMCS-7(4:7)2011

This article shows that there exist two particular linear orders such that
first-order logic with these two linear orders has the same expressive power as
first-order logic with the Bit-predicate FO(Bit). As a corollary we obtain that
there also exists a built-in permutation such that first-order logic with a
linear order and this permutation is as expressive as FO(Bit).

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