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» On theorem proving in annotated logics
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CADE
2003
Springer
15 years 10 months ago
A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
Renate A. Schmidt, Ullrich Hustadt
FROCOS
2009
Springer
15 years 4 months ago
Combining Theories with Shared Set Operations
Motivated by applications in software verification, we explore automated reasoning about the non-disjoint combination of theories of infinitely many finite structures, where the...
Thomas Wies, Ruzica Piskac, Viktor Kuncak
LICS
2012
IEEE
13 years 3 days ago
Logics of Dynamical Systems
—We study the logic of dynamical systems, that is, logics and proof principles for properties of dynamical systems. Dynamical systems are mathematical models describing how the s...
André Platzer
TAP
2010
Springer
134views Hardware» more  TAP 2010»
14 years 7 months ago
Testing First-Order Logic Axioms in Program Verification
Program verification systems based on automated theorem provers rely on user-provided axioms in order to verify domain-specific properties of code. However, formulating axioms corr...
Ki Yung Ahn, Ewen Denney
LICS
2010
IEEE
14 years 7 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe