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» A Clausal Approach to Proof Analysis in Second-Order Logic
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LFCS
2009
Springer
13 years 11 months ago
A Clausal Approach to Proof Analysis in Second-Order Logic
This work defines an extension CERES2 of the first-order cut-elimination method CERES to the subclass of sequent calculus proofs in second-order logic using quantifier-free comp...
Stefan Hetzl, Alexander Leitsch, Daniel Weller, Br...
TACAS
2010
Springer
225views Algorithms» more  TACAS 2010»
13 years 11 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
CADE
2010
Springer
13 years 5 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
CAV
2000
Springer
197views Hardware» more  CAV 2000»
13 years 9 months ago
Bounded Model Construction for Monadic Second-Order Logics
Address: Abstraction, Composition, Symmetry, and a Little Deduction: The Remedies to State Explosion . . . . . . . . . . . . . . . . . . . . . . . . . . 1 A. Pnueli Invited Address...
Abdelwaheb Ayari, David A. Basin
TIME
2005
IEEE
13 years 10 months ago
Search Strategies for Resolution in CTL-Type Logics: Extension and Complexity
A clausal resolution approach originally developed for the branching logic CTL has recently been extended to the logics ECTL and ECTL+ . In the application of the resolution rules...
Artie Basukoski, Alexander Bolotov