Yes, the theory underlying TLA+ is a variant of ZFC. In most presentations that I am aware of, it is written "Zermelo-Fraenkel set theory" (sometimes "... with choice"), avoiding the more technical abbreviations ZF and ZFC.
Le lundi 7 avril 2014 18:08:28 UTC+2, fl a écrit :
It is said in TLA+ documentation that the theory underlying the system is ZF. But technically speaking
it is not true because Hilbert's epsilon (the CHOOSE construct) is used and this implies an extra axiom
over ZF or ZFC namely the transfinite axiom.
And moreover if Hilbert's epsilon is used the axiom of choice is a consequence and definitely
the underlying theory is more ZFC than ZF.
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