Automating the Proofs of Strengthening Lemmas in the Abella Proof Assistant

In logical reasoning, it is often the case that only some of a collection of assumptions are needed to reach a conclusion. A strengthening lemma is an assertion that a given conclusion is independent in this sense of a particular assumption. Strengthening lemmas underlie many useful techniques for simplifying proofs in automated and interactive theorem-provers. For example, they underlie a mechanism called subordination that is useful in determining that expressions of a particular type cannot contain objects of another type and in thereby reducing the number of cases to be considered in proving universally quantified statements. This thesis concerns the automation of the proofs of strengthening lemmas in a specification logic called the logic of hereditary Harrop formulas (HOHH). The Abella Proof Assistant embeds this logic in a way that allows it to prove properties of both the logic itself and of specifications written in it. Previous research has articulated a (conservative) algorithm for checking if a claimed strengthening lemma is, in fact, true. We provide here an implementation of this algorithm within the setting of Abella. Moreover, we show how to generate an actual proof of the strengthening lemma in Abella from the information computed by the algorithm; such a proof serves as a more trustworthy certificate of the correctness of the lemma than the algorithm itself. The results of this work have been incorporated into the Abella system in the form of a "tactic command" that can be invoked within the interactive theorem-prover and that will result in an elaboration of a proof of the lemma and its incorporation into the collection of proven facts about a given specification

Women Climbing Pant Prototype

Women rock climbing participation has been growing and while studies are limited similar needs are seen worldwide (Jung & Chun, 2013; Michaelson, 2015; Outdoor Foundation, 2016; Suh, 2013). Needs were better fit, mobility, durability, protection, and performance stretch textiles. This prototype seeks to address these needs and include four different textiles to address stretch, breathability, wicking, and abrasion. This pant features a higher waistline that doesn\u27t fall before the harness, an interior adjustable waistband, an elongated gusset, two-piece front pant leg for flexibility along with a reinforced knee, pockets that are accessible while climbing, and adjustable pant length. Fit tests and wear trials showed an increase in fit satisfaction, mobility, and comfort along with an aesthetic appreciation for the pant. While this prototype sought to address women climbers pant needs it can also inform outdoor/sport designers that climbing pants should include functional design, performance stretch textiles, along with fit/wear trials

A Selkie’s View

Have you ever imagined what it must feel like to gaze at the shore while underwater? The oceans currents move your body as the sun’s rays play with your vision; you feel weightless. Impishly, you envision yourself as a mythical sea creature swimming curiously along the shoreline – a selkie

Apparel design for zero waste: Exploring aesthetic preferences and purchase intentions as a function of zero waste design typicality and zero waste concept

This study investigated the individual and interaction effects of typicality and the ZW design concept on the aesthetic preference and purchase intentions for ZW designed apparel, providing critical insights for ZW designers to better understand consumer preferences. The study employed a 2 x 2 x 2 mixed factorial experimental design. A total of 152 participants completed the online survey. Participants preferred typical ZW dresses (long and short) aesthetically over atypical dresses. Further, the ZW design concept did not make a difference to this typicality-based preference or purchase intention for ZW dresses. Purchase intentions for typical ZW long dresses were greater than atypical. The main take-away for designers of ZW apparel is the critical role that typicality plays in consumer\u27s aesthetic preferences and purchase intentions for ZW apparel

Apparel Design Typicality and Aesthetic Response: Moderating Role of Apparel Categories

Study examining how consumers preferences for design typicality differs between the apparel categories of a) tops and jackets (upper body apparel), b) skirts and pants (lower body apparel), and c) dresses (whole body apparel) by utilizing a 2 (typicality: typical vs. atypical) x 3 (apparel category: lower body apparel, upper body apparel, and dresses) mixed-factorial experimental design with typicality as the between-subjects factor and apparel category as the within-subjects factor

Active learning in an apparel production management course: Student perceptions, instructor training, and learning outcomes

Active learning environment was introduced to an apparel production management course. Class format was perceived as a good learning environment. Students were engaged in class material and able to understand its application to the apparel industry while gaining an increased depth of knowledge for the course content. Peer-to-peer interaction improved their learning experience in class as they shared knowledge when completing the assignment. Instructor training in active learning did have an impact on students\u27 perceptions of active learning so additional training may increase student perceptions. Learning outcomes did not increase but maintained a mean scores of 88

Selection Criteria for Scuba Diver\u27s Wetsuit

The purpose of this study was to assess the functional, expressive, and aesthetic attributes of wetsuits considered important by scuba divers. To identify the functional, expressive, and aesthetic attributes of wetsuits, FEA Consumer Needs Model (Lamb & Kallal, 1992) was used. Research questions examined are: (1) What are the wetsuit attributes considered important by scuba divers based on gender? (2) What are the wetsuit attributes considered important by scuba divers based on age? (3) What are the wetsuit attributes considered important by scuba divers based on scuba diving commitment level

Understanding Design Preferences and Expectations on Wearable Monitoring Systems for Diabetes

The purpose of this research was to understand preferences and expectations on wearable e-nose system designs to develop a wearable monitoring system integrated into clothing to measure breath and skin gases from wearers for real-time health monitoring. The results of this research are expected to be beneficial for apparel designers and engineers when developing these wearable monitoring systems