In this paper we present a strongly normalising cut-elimination procedure for classical logic. This procedure adapts Gentzen’s standard cut-reductions, but is less restrictive than previous strongly normalising cut-elimination procedures. In comparison, for example, with works by Dragalin and Danos et al., our procedure requires no special annotations on formulae and allows cut-rules to pass ov...

Effective quantifier elimination procedures for first-order theories provide a powerful tool for generically solving a wide range of problems based on logical specifications. In contrast to general first-order provers, quantifier elimination procedures are based on a fixed set of admissible logical symbolswith an implicitly fixed semantics. This admits the use of sub-algorithms from symbolic co...

In this paper, an explicit boundary-type numerical procedure, including a constraint-type fictitious time integration method (FTIM) and two-point boundary solution of the Lie-group shooting (LGSM), is constructed to tackle nonlinear nonhomogeneous backward heat conduction problems (BHCPs). Conventional methods cannot effectively overcome instability solve inverse that lack initial conditions ta...

In 2 experiments, we introduce a new "face-off" procedure for child eyewitness identifications. The new procedure, which is premised on reducing the stimulus set size, was compared with the showup and simultaneous procedures in Experiment 1 and with modified versions of the simultaneous and elimination procedures in Experiment 2. Several benefits of the face-off procedure were observed: it was ...

BACKGROUND Germline apoptosis-related single nucleotide polymorphisms (SNPs) have been shown to contribute to the risk of developing non-small cell lung cancer (NSCLC). However, very few studies have looked specifically at apoptosis-related SNPs in a racially-stratified analysis of white and African-American women. METHODS We examined the risk of developing NSCLC associated with 98 germline S...