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» Rewriting Induction Linear Arithmetic = Decision Procedure
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CADE
2012
Springer
12 years 1 months ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur
CADE
1990
Springer
14 years 3 months ago
A Theorem Prover for a Computational Logic
We briefly review a mechanical theorem-prover for a logic of recursive functions over finitely generated objects including the integers, ordered pairs, and symbols. The prover, kn...
Robert S. Boyer, J. Strother Moore
ENTCS
2006
125views more  ENTCS 2006»
13 years 11 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
MKM
2007
Springer
14 years 5 months ago
Automatic Synthesis of Decision Procedures: A Case Study of Ground and Linear Arithmetic
We address the problem of automatic synthesis of decision procedures. Our synthesis mechanism consists of several stages and submechanisms and is well-suited to the proof-planning ...
Predrag Janicic, Alan Bundy
CAV
2009
Springer
123views Hardware» more  CAV 2009»
14 years 3 months ago
On Using Floating-Point Computations to Help an Exact Linear Arithmetic Decision Procedure
We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisf...
David Monniaux