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CADE
2006
Springer
14 years 12 months ago
Geometric Resolution: A Proof Procedure Based on Finite Model Search
We present a proof procedure that is complete for first-order logic, but which can also be used when searching for finite models. The procedure uses a normal form which is based on...
Hans de Nivelle, Jia Meng
CADE
2006
Springer
14 years 12 months ago
Flyspeck I: Tame Graphs
We present a verified enumeration of tame graphs as defined in Hales' proof of the Kepler Conjecture and confirm the completeness of Hales' list of all tame graphs while ...
Tobias Nipkow, Gertrud Bauer, Paula Schultz
CADE
2006
Springer
14 years 12 months ago
An Interpretation of Isabelle/HOL in HOL Light
We define an interpretation of the Isabelle/HOL logic in HOL Light and its metalanguage, OCaml. Some aspects of the Isabelle logic are not representable directly in the HOL Light o...
Sean McLaughlin
CADE
2006
Springer
14 years 12 months ago
Proving Formally the Implementation of an Efficient gcd Algorithm for Polynomials
We describe here a formal proof in the Coq system of the structure theorem for subresultants, which allows to prove formally the correctness of our implementation of the subresulta...
Assia Mahboubi
CADE
2006
Springer
14 years 12 months ago
Stratified Context Unification Is NP-Complete
Context Unification is the problem to decide for a given set of second-order equations E where all second-order variables are unary, whether there exists a unifier, such that for e...
Jordi Levy, Manfred Schmidt-Schauß, Mateu Vi...
CADE
2006
Springer
14 years 12 months ago
Solving Sparse Linear Constraints
Linear arithmetic decision procedures form an important part of theorem provers for program verification. In most verification benchmarks, the linear arithmetic constraints are dom...
Shuvendu K. Lahiri, Madanlal Musuvathi
CADE
2006
Springer
14 years 12 months ago
Partial Recursive Functions in Higher-Order Logic
Abstract. Based on inductive definitions, we develop an automated tool for defining partial recursive functions in Higher-Order Logic and providing appropriate reasoning tools for ...
Alexander Krauss
CADE
2006
Springer
14 years 12 months ago
Automating Proofs in Category Theory
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...
Dexter Kozen, Christoph Kreitz, Eva Richter
CADE
2006
Springer
14 years 12 months ago
Automation of Recursive Path Ordering for Infinite Labelled Rewrite Systems
Abstract. Semantic labelling is a transformational technique for proving termination of Term Rewriting Systems (TRSs). Only its variant with finite sets of labels was used so far i...
Adam Koprowski, Hans Zantema