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CADE
2005
Springer
15 years 9 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
CADE
2005
Springer
15 years 9 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
CADE
2005
Springer
15 years 9 months ago
Tabling for Higher-Order Logic Programming
We describe the design and implementation of a higher-order tabled logic programming interpreter where some redundant and infinite computation is eliminated by memoizing sub-comput...
Brigitte Pientka
CADE
2005
Springer
15 years 9 months ago
A Combination Method for Generating Interpolants
We present a combination method for generating interpolants for a class of first-order theories. Using interpolant-generation procedures for individual theories as black-boxes, our...
Greta Yorsh, Madanlal Musuvathi
CADE
2005
Springer
15 years 9 months ago
The Decidability of the First-Order Theory of Knuth-Bendix Order
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
Ting Zhang, Henny B. Sipma, Zohar Manna
Logical Reasoning
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