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» A Hoare Logic for the State Monad
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FASE
2008
Springer
13 years 9 months ago
A Generic Complete Dynamic Logic for Reasoning About Purity and Effects
For a number of programming languages, among them Eiffel, C, Java and Ruby, Hoare-style logics and dynamic logics have been developed. In these logics, pre- and postconditions are ...
Till Mossakowski, Lutz Schröder, Sergey Gonch...
CAV
2000
Springer
197views Hardware» more  CAV 2000»
13 years 12 months ago
Bounded Model Construction for Monadic Second-Order Logics
Address: Abstraction, Composition, Symmetry, and a Little Deduction: The Remedies to State Explosion . . . . . . . . . . . . . . . . . . . . . . . . . . 1 A. Pnueli Invited Address...
Abdelwaheb Ayari, David A. Basin
COMBINATORICS
2002
87views more  COMBINATORICS 2002»
13 years 7 months ago
Map Genus, Forbidden Maps, and Monadic Second-Order Logic
A map is a graph equipped with a circular order of edges around each vertex. These circular orders represent local planar embeddings. The genus of a map is the minimal genus of an...
Bruno Courcelle, V. Dussaux
SAS
2009
Springer
171views Formal Methods» more  SAS 2009»
14 years 8 months ago
Bottom-Up Shape Analysis
In this paper we present a new shape analysis algorithm. The key distinguishing aspect of our algorithm is that it is completely compositional, bottom-up and non-iterative. We pres...
Bhargav S. Gulavani, Supratik Chakraborty, Ganesan...
CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 7 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari