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2007
Springer

Symbolic Backwards-Reachability Analysis for Higher-Order Pushdown Systems

10 years 4 months ago
Symbolic Backwards-Reachability Analysis for Higher-Order Pushdown Systems
Higher-order pushdown systems (PDSs) generalise pushdown systems through the use of higher-order stacks, that is, a nested “stack of stacks” structure. These systems may be used to model higher-order programs and are closely related to the Caucal hierarchy of infinite graphs and safe higher-order recursion schemes. We consider the backwards-reachability problem over higher-order Alternating PDSs (APDSs), a generalisation of higher-order PDSs. This builds on and extends previous work on pushdown systems and context-free higher-order processes in a non-trivial manner. In particular, we show that the set of configurations from which a regular set of higher-order APDS configurations is reachable is regular and computable in n-EXPTIME. In fact, the problem is n-EXPTIME-complete. We show that this work has several applications in the verification of higher-order PDSs, such as linear-time model checking, alternation-free µ-calculus model-checking, the computation of winning regions ...
Matthew Hague, C.-H. Luke Ong
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where FOSSACS
Authors Matthew Hague, C.-H. Luke Ong
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