Abstract:We study the expressive power of Alternating Parity Krivine Automata (APKA),
which provide operational semantics to Higher-Order Modal Fixpoint Logic (HFL).
APKA consist of ordinary parity automata extended by a variation of the Krivine
Abstract Machine. We show that the number and parity of priorities available to
an APKA form a proper hierarchy of expressive power as in the modal
mu-calculus. This also induces a strict alternation hierarchy on HFL. The proof
follows Arnold's (1999) encoding of runs into tree… Show more
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