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» Integrating Reasoning About Ordinal Arithmetic into ACL2
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FMCAD
2004
Springer
13 years 10 months ago
Integrating Reasoning About Ordinal Arithmetic into ACL2
Abstract. Termination poses one of the main challenges for mechanically verifying infinite state systems. In this paper, we develop a powerful and extensible framework based on th...
Panagiotis Manolios, Daron Vroon
CADE
2003
Springer
14 years 4 months ago
Algorithms for Ordinal Arithmetic
Ordinals form the basis for termination proofs in ACL2. Currently, ACL2 uses a rather inefficient representation for the ordinals up to 0 and provides limited support for reasoning...
Panagiotis Manolios, Daron Vroon
ACL2
2006
ACM
13 years 10 months ago
Parameterized congruences in ACL2
Support for congruence-based rewriting is built into ACL2. This capability allows ACL2 to treat certain predicate relations ”just like equality” under appropriate conditions a...
David Greve
ENTCS
2006
125views more  ENTCS 2006»
13 years 4 months ago
An Even Closer Integration of Linear Arithmetic into Inductive Theorem Proving
To broaden the scope of decision procedures for linear arithmetic, they have to be integrated into theorem provers. Successful approaches e.g. in NQTHM or ACL2 suggest a close int...
Tobias Schmidt-Samoa
CSL
2007
Springer
13 years 10 months ago
Proofs, Programs and Abstract Complexity
Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ...
Arnold Beckmann