Pollack-inconsistency

Pollack-inconsistency

For interactive theorem provers a very desirable property is consistency : it should not be possible to prove false theorems. However, this is not enough: it also should not be possible to think that a theorem that actually is false has been proved. More precisely: the user should be able to know what it is that the interactive theorem prover is proving. To make these issues concrete we introdu...

HOL Zero's Solutions for Pollack-Inconsistency

HOL Zero is a basic theorem prover that aims to achieve the highest levels of reliability and trustworthiness through careful design and implementation of its core components. In this paper, we concentrate on its treatment of concrete syntax, explaining how it manages to avoid problems suffered in other HOL systems related to the parsing and pretty printing of HOL types, terms and theorems, wit...

Pollack , George , Reba , Kaufman , and Crosby

Iron is unique among inorganic nutriments because primary control of body homeostasis resides with absorption, not with excretion (1). However, the pathway by which iron is transported in the gut is not necessarily unique; it may be shared with cations whose absorption waxes and wanes in parallel with that of iron, but whose total body balance is maintained by ready excretion. The question of w...

On inconsistency of a pairwise comparison matrix

Disciplined Inconsistency

Distributed applications and web services, such as online stores or social networks, are expected to be scalable, available, responsive, and fault-tolerant. To meet these steep requirements in the face of high round-trip latencies, network partitions, server failures, and load spikes, applications use eventually consistent datastores that allow them to weaken the consistency of some data. Howev...