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» Termination Analysis of Integer Linear Loops
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CONCUR
2005
Springer
13 years 10 months ago
Termination Analysis of Integer Linear Loops
Usually, ranking function synthesis and invariant generation oop with integer variables involves abstracting the loop to have real variables. Integer division and modulo arithmetic...
Aaron R. Bradley, Zohar Manna, Henny B. Sipma
CAV
2006
Springer
90views Hardware» more  CAV 2006»
13 years 8 months ago
Termination of Integer Linear Programs
We show that termination of a simple class of linear loops over the integers is decidable. Namely we show that termination of deterministic linear loops is decidable over the integ...
Mark Braverman
CORR
2000
Springer
103views Education» more  CORR 2000»
13 years 4 months ago
Automatic Termination Analysis of Programs Containing Arithmetic Predicates
For logic programs with arithmetic predicates, showing termination is not easy, since the usual order for the integers is not well-founded. A new method, easily incorporated in th...
Nachum Dershowitz, Naomi Lindenstrauss, Yehoshua S...
CORR
2010
Springer
153views Education» more  CORR 2010»
13 years 5 months ago
The Automatic Synthesis of Linear Ranking Functions: The Complete Unabridged Version
The classical technique for proving termination of a generic sequential computer program involves the synthesis of a ranking function for each loop of the program. Linear ranking ...
Roberto Bagnara, Fred Mesnard, Andrea Pescetti, En...
TOPLAS
2008
81views more  TOPLAS 2008»
13 years 4 months ago
Size-change termination with difference constraints
lem of inferring termination from such abstract information is not the halting problem for programs and may well be decidable. If this is the case, the decision algorithm forms a &...
Amir M. Ben-Amram