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VMCAI
2004
Springer
13 years 11 months ago
A Complete Method for the Synthesis of Linear Ranking Functions
Andreas Podelski, Andrey Rybalchenko
TACAS
2010
Springer
146views Algorithms» more  TACAS 2010»
14 years 14 days ago
Ranking Function Synthesis for Bit-Vector Relations
Ranking function synthesis is a key aspect to the success of modern termination provers for imperative programs. While it is wellknown how to generate linear ranking functions for ...
Byron Cook, Daniel Kroening, Philipp Rümmer, ...
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...
ICALP
2005
Springer
13 years 11 months ago
The Polyranking Principle
Although every terminating loop has a ranking function, not every loop has a ranking function of a restricted form, such as a lexicographic tuple of polynomials over program variab...
Aaron R. Bradley, Zohar Manna, Henny B. Sipma
CAV
2005
Springer
135views Hardware» more  CAV 2005»
13 years 11 months ago
Linear Ranking with Reachability
We present a complete method for synthesizing lexicographic linear ranking functions supported by inductive linear invariants for loops with linear guards and transitions. Proving ...
Aaron R. Bradley, Zohar Manna, Henny B. Sipma