We perform a thorough study of the blow up profiles associated to following second order reaction-diffusion equation with non-homogeneous reaction:?tu=?xx(um)+|x|?up, in range exponents 10. classify solutions self-similar form, that are likely represent typical patterns for general solutions. thus show coefficient |x|? has strong influence on qualitative aspects related finite time u...

The performance of a theorem prover crucially depends on the speed of the basic retrieval operations, such as finding terms that are unifiable with (instances of, or more general than) some query term. Among the known indexing methods for term retrieval in deduction systems, Path–Indexing exhibits a good performance in general. However, as Path–Indexing is not a perfect filter, the candidates f...

The Set-Sharing domain has been widely used to infer at compile-time interesting properties of logic programs such as occurs-check reduction, automatic parallelization, and finite-tree analysis. However, performing abstract unification in this domain requires a closure operation that increases the number of sharing groups exponentially. Much attention has been given in the literature to mitigat...