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JAR
2007
83views more  JAR 2007»
13 years 4 months ago
Theory Extension in ACL2(r)
ACL2(r) is a modified version of the theorem prover ACL2 that adds support for the irrational numbers using non-standard analysis. It has been used to prove basic theorems of anal...
Ruben Gamboa, John R. Cowles
FROCOS
2007
Springer
13 years 11 months ago
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
Abstract. We present an overview of results on hierarchical and modular reasoning in complex theories. We show that for a special type of extensions of a base theory, which we call...
Viorica Sofronie-Stokkermans
VMCAI
2009
Springer
13 years 11 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
SEFM
2006
IEEE
13 years 10 months ago
A Theory of Singly-Linked Lists and its Extensible Decision Procedure
The key to many approaches to reason about pointerbased data structures is the availability of a decision procedure to automatically discharge proof obligations in a theory encomp...
Silvio Ranise, Calogero G. Zarba
ISIPTA
2003
IEEE
110views Mathematics» more  ISIPTA 2003»
13 years 10 months ago
Extensions of Expected Utility Theory and Some Limitations of Pairwise Comparisons
We contrast three decision rules that extend Expected Utility to contexts where a convex set of probabilities is used to depict uncertainty: Γ-Maximin, Maximality, and E-admissib...
Mark J. Schervish, Teddy Seidenfeld, Joseph B. Kad...