The Propositional Dynamic Logic of Deterministic, Well-Structured Programs
Name
MIT-LCS-TM-198.pdf
Size
15.96 MB
Format
Adobe PDF
Checksum (MD5)
f9d565b81edf0d7b8eec8277ebcc17f5
Author(s)
Halpern, Joseph Y.
Reif, John H.
Date Issued
March 1981
Series/Report no.
MIT-LCS-TM-198
Abstract
We consider a restricted propositional dynamic logic, Strict Deterministic Propositional Dynamic Logic (SDPDL), which is appropriate for reasoning about deterministic well-structured programs. In contrast to PDL, for which the validity problem is known to be complete in deterministic exponential time, the validity problem for SDPDL is shown to be polynomial space complete. We also show that SDPDL is less expensive than PDL. The results rely on structure theorems for models of satifiable SDPDL formulas, and the proods give insight into the effects of nondeterminism on intractability and expressiveness in program logics.
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