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» Automated Termination Proofs with AProVE
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TPHOL
2003
IEEE
13 years 10 months ago
Applications of Polytypism in Theorem Proving
Abstract. Polytypic functions have mainly been studied in the context of functional programming languages. In that setting, applications of polytypism include elegant treatments of...
Konrad Slind, Joe Hurd
CCL
1994
Springer
13 years 9 months ago
On Modularity in Term Rewriting and Narrowing
We introduce a modular property of equational proofs, called modularity of normalization, for the union of term rewrite systems with shared symbols. The idea is, that every normali...
Christian Prehofer
CSL
2008
Springer
13 years 7 months ago
Syntactic Metatheory of Higher-Order Subtyping
Abstract. We present a new proof of decidability of higher-order subtyping in the presence of bounded quantification. The algorithm is formulated as a judgement which operates on b...
Andreas Abel, Dulma Rodriguez
TPHOL
2003
IEEE
13 years 10 months ago
Inductive Invariants for Nested Recursion
Abstract. We show that certain input-output relations, termed inductive invariants are of central importance for termination proofs of algorithms defined by nested recursion. Indu...
Sava Krstic, John Matthews
ICFEM
2009
Springer
13 years 12 months ago
Circular Coinduction with Special Contexts
Coinductive proofs of behavioral equivalence often require human ingenuity, in that one is expected to provide a “good” relation extending one’s goal with additional lemmas, ...
Dorel Lucanu, Grigore Rosu