Manna and Waldinger’s theory of substitutions and unification has been verified using the Cambridge LCF theorem prover. A proof of the monotonicity of substitution is presented in detail, as an example of interaction with LCF. Translating the theory into LCF’s domaintheoretic logic is largely straightforward. Well-founded induction on a complex ordering is translated into nested structural indu...

The predominant, root design among current proof assistants, the LCF style, is traditionally realized through impure, functional languages. Thus, languages that eschew side-effects in the name of purity collectively represent a largely untapped platform for exploring alternate implementations of LCF-style provers. The work in this paper details the challenges we have encountered in the developm...

The LCF system provides a logic of xed point theory and is useful to reason about nontermination, recursive deenitions and innnite-valued types such as lazy lists. Because of continual presence of bottom elements, it is clumsy for reasoning about nite-valued types and strict functions. The HOL system provides set theory and supports reasoning about nite-valued types and total functions well. In...

Abs t rac t : An extension to the Edinburgh LCF interactive theorem-proving system is described which provides new ways of constructing theories, drawing upon ideas from the Clear specification language. A new theory can be built from an existing theory in two new ways: by renaming its types and constants, or by abstraction (forgetting some types and constants and perhaps renaming the rest]. A ...

In this paper, we prove the following two results: First, we study a class of conformally invariant operators P and their related conformally invariant curvatures Q on even-dimensional Riemannian manifolds. When the manifold is locally conformally flat(LCF) and compact without boundary, Q-curvature is naturally related to the integrand in the classical Gauss-Bonnet-Chern formula, i.e., the Pfaf...

A study of complementing lincomycin nonproducing mutants of Streptomyces lincolnensis resulted in the discovery of a low molecular weight compound that functions as a catalytic agent, lincomycin cosynthetic factor (LCF), in the biosynthesis of propylproline.^ This note reports the isolation and identification of LCF and its detection in fermentation broths of many actinomycetes. For the purific...

Cloud and aerosol effects on radiation in two contrasting cloud types, a deep mesoscale convective system (MCS) and warm stratocumulus clouds, are simulated and compared. At the top of the atmosphere, 45–81% of shortwave cloud forcing (SCF) is offset by longwave cloud forcing (LCF) in the MCS, whereas warm stratiform clouds show the offset of less than ∼20%. 28% of increased negative SCF is off...

In recent years, the East African region has seen an increase in arboviral diseases transmitted by blood-feeding arthropods. Effective surveillance to monitor and reduce incidence of these infections requires the use of appropriate vector sampling tools. Here, trapped skin volatiles on fur from sheep, a known preferred host of mosquito vectors of Rift Valley fever virus (RVFV), were used with a...