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» A Logical Approach to Abstract Algebra
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CSR
2008
Springer
13 years 11 months ago
Invariant Generation for P-Solvable Loops with Assignments
We discuss interesting properties of a general technique for inferring polynomial invariants for a subfamily of imperative loops, called the P-solvable loops, with assignments only...
Laura Kovács
JAR
1998
134views more  JAR 1998»
13 years 9 months ago
Integrating Computer Algebra into Proof Planning
Mechanized reasoning systems and computer algebra systems have different objectives. Their integration is highly desirable, since formal proofs often involve both of the two differ...
Manfred Kerber, Michael Kohlhase, Volker Sorge
ENTCS
2002
121views more  ENTCS 2002»
13 years 9 months ago
Modal Predicates and Co-equations
We show how coalgebras can be presented by operations and equations. This is a special case of Linton's approach to algebras over a general base category X, namely where X is...
Alexander Kurz, Jirí Rosický
ESOP
2004
Springer
14 years 3 months ago
Resources, Concurrency, and Local Reasoning (Abstract)
t) Peter W. O’Hearn Queen Mary, University of London In the 1960s Dijkstra suggested that, in order to limit the complexity of potential process interactions, concurrent programs...
Peter W. O'Hearn
ACL2
2006
ACM
14 years 3 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