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» On the Completeness of Propositional Hoare Logic
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TYPES
1998
Springer
15 years 1 months ago
Metatheory of Verification Calculi in LEGO - To what Extent Does Syntax Matter?
Investigating soundness and completeness of verification calculi for imperative programming languages is a challenging task. Incorrect results have been published in the past. We t...
Thomas Kleymann
AMAI
2006
Springer
14 years 9 months ago
A generalization of the Lin-Zhao theorem
The theorem on loop formulas due to Fangzhen Lin and Yuting Zhao shows how to turn a logic program into a propositional formula that describes the program's stable models. In...
Paolo Ferraris, Joohyung Lee, Vladimir Lifschitz
CADE
2009
Springer
15 years 10 months ago
An Optimal On-the-Fly Tableau-Based Decision Procedure for PDL-Satisfiability
Abstract. We give an optimal (exptime), sound and complete tableaubased algorithm for deciding satisfiability for propositional dynamic logic. Our main contribution is a sound meth...
Florian Widmann, Rajeev Goré
TABLEAUX
2005
Springer
15 years 3 months ago
A Tableau Calculus with Automaton-Labelled Formulae for Regular Grammar Logics
We present a sound and complete tableau calculus for the class of regular grammar logics. Our tableau rules use a special feature called automaton-labelled formulae, which are simi...
Rajeev Goré, Linh Anh Nguyen
PODC
1990
ACM
15 years 1 months ago
Half-Order Modal Logic: How to Prove Real-Time Properties
Abstract. We introduce a novel extension of propositional modal logic that is interpreted over Kripke structures in which a value is associated with every possible world. These val...
Thomas A. Henzinger