Computer Science > Logic in Computer Science
[Submitted on 16 Mar 2022 (v1), last revised 13 Sep 2024 (this version, v2)]
Title:On Higher-Order Reachability Games vs May Reachability
View PDF HTML (experimental)Abstract:We consider the reachability problem for higher-order functional programs and study the relationship between reachability games (i.e., the reachability problem for programs with angelic and demonic nondeterminism) and may-reachability (i.e., the reachability problem for programs with only angelic nondeterminism). We show that reachability games for order-n programs can be reduced to may-reachability for order-(n+1) programs, and vice versa. We formalize the reductions by using higher-order fixpoint logic and prove their correctness. We also discuss applications of the reductions to higher-order program verification.
Submission history
From: Naoki Kobayashi [view email][v1] Wed, 16 Mar 2022 06:21:12 UTC (55 KB)
[v2] Fri, 13 Sep 2024 07:29:17 UTC (55 KB)
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