Complete SAT-Based Model Checking for Context-Free Processes

Author(s):  
Geng-Dian Huang ◽  
Bow-Yaw Wang
Keyword(s):  
Author(s):  
Pierpaolo Degano ◽  
Gian-Luigi Ferrari ◽  
Gianluca Mezzetti

Many security experts would agree that, had it not been forth econstruction of model checking, the deployment of access points might never have occurred .In this paper ,weverify the de- ploy men to fthe UNIVAC computer .In t his po sition paper wever if ythatthoughth eacclaimed trainable algorithm for the deployment of hash tables by Brown[21]is recursivel yenumerable, context-free grammar and the World Wide Web are generally incompatible. Weleaveoutthese results for anonymity


Many security experts would agree that ,had it not been for the Construction of model checking, the deployment of accesspoints might never have occurred.In this paper, weverifythede- ployment of the UNIV AC computer. In this position paper wever ifyth atthough the acclaimed train able algorithm for the deployment of hash tables by Brown[21]is recursively enumerable, context- free grammar and the World Wide Web are generally incompatible. We leave out these results for an onymity


Author(s):  
Michele Chiari ◽  
Dino Mandrioli ◽  
Matteo Pradella

AbstractThe problem of model checking procedural programs has fostered much research towards the definition of temporal logics for reasoning on context-free structures. The most notable of such results are temporal logics on Nested Words, such as CaRet and NWTL. Recently, the logic OPTL was introduced, based on the class of Operator Precedence Languages (OPL), more powerful than Nested Words. We define the new OPL-based logic POTL, and provide a model checking procedure for it. POTL improves on NWTL by enabling the formulation of requirements involving pre/post-conditions, stack inspection, and others in the presence of exception-like constructs. It improves on OPTL by being FO-complete, and by expressing more easily stack inspection and function-local properties. We developed a model checking tool for POTL, which we experimentally evaluate on some interesting use-cases.


2007 ◽  
Vol 14 (13) ◽  
Author(s):  
Martin Lange

Non-regular program correctness properties play an important role in the specification of unbounded buffers, recursive procedures, etc. This thesis surveys results about the relative expressive power and complexity of temporal logics which are capable of defining non-regular properties. In particular, it features Propositional Dynamic Logic of Context-Free Programs, Fixpoint Logic with Chop, the Modal Iteration Calculus, and Higher-Order Fixpoint Logic.<br /> <br />Regarding expressive power we consider two classes of structures: arbitrary transition systems as well as finite words as a subclass of the former. The latter is meant to give an intuitive account of the logics' expressive powers by relating them to known language classes defined in terms of grammars or Turing Machines. <br /> <br /> Regarding the computational complexity of temporal logics beyond regularity we focus on their model checking problems since their satisfiability problems are all highly undecidable. Their model checking complexities range between polynomial time and non-elementary.


2010 ◽  
Vol 21 (02) ◽  
pp. 115-134
Author(s):  
GENG-DIAN HUANG ◽  
BOW-YAW WANG

A complete SAT-based model checking algorithm for context-free processes is presented. We reduce proof search in local model checking to Boolean satisfiability. Bounded proof search can therefore be performed by SAT solvers. Moreover, the completeness of proof search is reduced to Boolean unsatisfiability and hence can be checked by SAT solvers. By encoding the local model checking algorithm in [13], SAT solvers are able to verify properties in the universal fragment of alternation-free µ-calculus formulae on context-free processes. Since software programs can be modeled by context-free processes, our result demonstrates that a purely SAT-based algorithm for software verification is indeed possible.


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