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» An Algebraic Proof of Deuber's Theorem
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CSL
2007
Springer
14 years 2 months ago
Qualitative Temporal and Spatial Reasoning Revisited
Abstract. Establishing local consistency is one of the main algorithmic techniques in temporal and spatial reasoning. In this area, one of the central questions for the various pro...
Manuel Bodirsky, Hubie Chen
JSC
2002
84views more  JSC 2002»
13 years 8 months ago
A Constructive Algebraic Hierarchy in Coq
We describe a framework of algebraic structures in the proof assistant Coq. We have developed this framework as part of the FTA project in Nijmegen, in which a constructive proof ...
Herman Geuvers, Randy Pollack, Freek Wiedijk, Jan ...
TOOLS
1999
IEEE
14 years 21 days ago
Class Algebra for Ontology Reasoning
Class algebra provides a natural framework for sharing of ISA hierarchies between users that may be unaware of each other's definitions. This permits data from relational dat...
Daniel J. Buehrer, Chee-Hwa Lee
ACL2
2006
ACM
14 years 2 months ago
Unique factorization in ACL2: Euclidean domains
ACL2 is used to systematically study domains whose elements can be “uniquely” factored into products of “irreducible” elements. The best known examples of such domains are...
John R. Cowles, Ruben Gamboa
RANDOM
1997
Springer
14 years 17 days ago
A Combinatorial Consistency Lemma with Application to Proving the PCP Theorem
The current proof of the PCP Theorem (i.e., NP = PCP(log, O(1))) is very complicated. One source of difficulty is the technically involved analysis of low-degree tests. Here, we r...
Oded Goldreich, Shmuel Safra