Entailment Checking in Separation Logic with Inductive Definitions is 2-EXPTIME hard
Keyword(s):
The entailment between separation logic formulæ with inductive predicates, also known as sym- bolic heaps, has been shown to be decidable for a large class of inductive definitions [7]. Recently, a 2-EXPTIME algorithm was proposed [10, 14] and an EXPTIME-hard bound was established in [8]; however no precise lower bound is known. In this paper, we show that deciding entailment between predicate atoms is 2-EXPTIME-hard. The proof is based on a reduction from the membership problem for exponential-space bounded alternating Turing machines [5].
Keyword(s):
1992 ◽
Vol 111
(2)
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pp. 273-281
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1992 ◽
Vol 06
(02n03)
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pp. 211-225
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1997 ◽
Vol 11
(07)
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pp. 1023-1024
1985 ◽
Vol 292
(2)
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pp. 675-675
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