By giving a translation from typed object calculus into Plotkin’s FPC, we demonstrate that every computationally sound and adequate model of FPC (with eager operational semantics), is also a sound and adequate model of typed object calculus. This establishes that denotational equality is contained in operational equivalence, i.e. that for any such model of typed object calculus, if two terms ha...

Recently, various process calculi have been introduced which are suited for the modelling of mobile computation and in particular the mobility of program code; a prominent example is the ambient calculus. Due to the complexity of the involved spatial reduction, there is — in contrast to the situation in standard process algebra — up to now no satisfying coalgebraic representation of a mobile pr...

In (Eder, 1991) the consolution method is introduced as a bridge between the idea of matrix methods (see (Bibel, 1987)) and resolution. Eder defines a consolution calculus together with a construction which yields a consolution refutation for every resolution refutation. This gives both a demonstration that resolution can be seen as a special strategy within consolution and a completeness proof...

This article demonstrates how newly available technology suggests to completely rethink how key concepts of (vector-) calculus are introduced. We consider this a particularly dramatic show-case, which also raises the question whether similarly radical rethinking applies to other areas throughout the mathematics curriculum. The new approach makes fairly advanced mathematical concepts accessible ...

In this paper we investigate the λ-calculus, a λ-calculus enriched with resource control. Explicit control of resources is enabled by the presence of erasure and duplication operators, which correspond to thinning and contraction rules in the type assignment system. We introduce directly the class of λ-terms and we provide a new treatment of substitution by its decomposition into atomic steps. ...

BACKGROUND Testicular calculus is an extremely rare case with unknown etiology and pathogenesis. To our knowledge, here we report the third case of testicular calculus. A 31-year-old man was admitted to our clinic with painful solid mass in left testis. After diagnostic work-up for a possible testicular tumour, he underwent inguinal orchiectomy and histopathologic examination showed a testicula...

In most theorem proving applications, a proper treatment of equational theories or equality is mandatory. In this paper we show how to integrate a modern treatment of equality in the hyper tableau calculus. It is based on splitting of positive clauses and an adapted version of the superposition inference rule, where equations used for paramodulation are drawn (only) from a set of positive unit ...