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» Automated theorem proving in quasigroup and loop theory
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AICOM
2010
129views more  AICOM 2010»
13 years 5 months ago
Automated theorem proving in quasigroup and loop theory
We survey all known results in the area of quasigroup and loop theory to have been obtained with the assistance of automated theorem provers. We provide both informal and formal d...
J. D. Phillips, David Stanovský
LICS
2012
IEEE
11 years 7 months ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
CADE
2006
Springer
14 years 5 months ago
Automatic Construction and Verification of Isotopy Invariants
Abstract. We extend our previous study of the automatic construction of isomorphic classification theorems for algebraic domains by considering the isotopy equivalence relation. Is...
Volker Sorge, Andreas Meier, Roy L. McCasland, Sim...
KI
2009
Springer
13 years 11 months ago
External Sources of Axioms in Automated Theorem Proving
Abstract. In recent years there has been a growing demand for Automated Theorem Proving (ATP) in large theories, which often have more axioms than can be handled effectively as no...
Martin Suda, Geoff Sutcliffe, Patrick Wischnewski,...
CADE
2004
Springer
14 years 5 months ago
Automatic Generation of Classification Theorems for Finite Algebras
Abstract. Classifying finite algebraic structures has been a major motivation behind much research in pure mathematics. Automated techniques have aided in this process, but this ha...
Simon Colton, Andreas Meier, Volker Sorge, Roy L. ...