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» Alpha-Structural Recursion and Induction
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TPHOL
2005
IEEE
13 years 10 months ago
Alpha-Structural Recursion and Induction
The nominal approach to abstract syntax deals with the issues of bound names and α-equivalence by considering constructions and properties that are invariant with respect to permu...
Andrew M. Pitts
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
TYPES
2000
Springer
13 years 8 months ago
Executing Higher Order Logic
We report on the design of a prototyping component for the theorem prover Isabelle/HOL. Specifications consisting of datatypes, recursive functions and inductive definitions are co...
Stefan Berghofer, Tobias Nipkow
JAR
2010
122views more  JAR 2010»
12 years 11 months ago
Partial and Nested Recursive Function Definitions in Higher-order Logic
Based on inductive definitions, we develop a tool that automates the definition of partial recursive functions in higher-order logic (HOL) and provides appropriate proof rules for ...
Alexander Krauss
ENTCS
2006
169views more  ENTCS 2006»
13 years 4 months ago
Constructing Induction Rules for Deductive Synthesis Proofs
We describe novel computational techniques for constructing induction rules for deductive synthesis proofs. Deductive synthesis holds out the promise of automated construction of ...
Alan Bundy, Lucas Dixon, Jeremy Gow, Jacques D. Fl...