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CSL
2004
Springer
15 years 12 months ago
A Third-Order Bounded Arithmetic Theory for PSPACE
We present a novel third-order theory W1 1 of bounded arithmetic suitable for reasoning about PSPACE functions. This theory has the advantages of avoiding the smash function symbol...
Alan Skelley
CADE
2000
Springer
15 years 11 months ago
Automated Proof Construction in Type Theory Using Resolution
We provide techniques to integrate resolution logic with equality in type theory. The results may be rendered as follows. − A clausification procedure in type theory, equipped w...
Marc Bezem, Dimitri Hendriks, Hans de Nivelle
CADE
2009
Springer
16 years 7 months ago
Ground Interpolation for Combined Theories
Abstract. We give a method for modular generation of ground interpolants in modern SMT solvers supporting multiple theories. Our method uses a novel algorithm to modify the proof t...
Amit Goel, Sava Krstic, Cesare Tinelli
VMCAI
2009
Springer
16 years 1 months ago
Deciding Extensions of the Theories of Vectors and Bags
Vectors and bags are basic collection data structures, which are used frequently in programs and specifications. Reasoning about these data structures is supported by established ...
Patrick Maier
CADE
2010
Springer
15 years 7 months ago
MCMT: A Model Checker Modulo Theories
Abstract. We describe mcmt, a fully declarative and deductive symbolic model checker for safety properties of infinite state systems whose state variables are arrays. Theories spec...
Silvio Ghilardi, Silvio Ranise