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» Recursive proofs for inductive tree data-structures
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POPL
2012
ACM
12 years 12 days ago
Recursive proofs for inductive tree data-structures
We develop logical mechanisms and decision procedures to facilitate the verification of full functional properties of inductive tree data-structures using recursion that are soun...
Parthasarathy Madhusudan, Xiaokang Qiu, Andrei Ste...
CADE
2010
Springer
13 years 6 months ago
Automated Synthesis of Induction Axioms for Programs with Second-Order Recursion
In order to support the verification of programs, verification tools such as ACL2 or Isabelle try to extract suitable induction axioms from the definitions of terminating, recursiv...
Markus Aderhold
TACAS
2010
Springer
225views Algorithms» more  TACAS 2010»
13 years 12 months ago
Automated Termination Analysis for Programs with Second-Order Recursion
Many algorithms on data structures such as terms (finitely branching trees) are naturally implemented by second-order recursion: A first-order procedure f passes itself as an arg...
Markus Aderhold
TLCA
2009
Springer
13 years 11 months ago
Initial Algebra Semantics for Cyclic Sharing Structures
Terms are a concise representation of tree structures. Since they can be naturally defined by an inductive type, they offer data structures in functional programming and mechanis...
Makoto Hamana
CADE
2008
Springer
14 years 5 months ago
Automated Induction with Constrained Tree Automata
We propose a procedure for automated implicit inductive theorem proving for equational specifications made of rewrite rules with conditions and constraints. The constraints are int...
Adel Bouhoula, Florent Jacquemard