Lars Hallnäs’s research while affiliated with University of Borås and other places

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Publications (39)


On the Structure of Proofs
  • Chapter
  • Full-text available

February 2024

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16 Reads

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1 Citation

Lars Hallnäs

The initial premise of this paper is that the structure of a proof is inherent in the definition of the proof. Side conditions to deal with the discharging of assumptions means that this does not hold for systems of natural deduction, where proofs are given by monotone inductive definitions. We discuss the idea of using higher order definitions and the notion of a functional closure as a foundation to avoid these problems. In order to focus on structural issues we introduce a more abstract perspective, where a structural proof theory becomes part of a more general theory of functional closures. A notion of proof equations is discussed as a structural classifier and we compare the Russell and Ekman paradoxes to illustrate this.

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On the Proof-Theoretic Foundations of Set Theory

January 2016

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38 Reads

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2 Citations

In this paper we discuss a proof-theoretic foundation of set theory that focusses on set definitions in an open type free framework. The idea to make Cantor’s informal definition of the notion of a set more precise by saying that any given property defines a set seems to be in conflict with ordinary modes of reasoning. There is to some extent a confusion here between extensional perspectives (sets as collections of objects) and intensional perspectives (set theoretic definitions) that the central paradoxes build on. The solutions offered by Zermelo-Fraenkel set theories, von Neumann-Bernays set-class theories and type theories follow the strategy of retirement behind more or less safe boundaries. What if we revisit the original idea without making strong assumptions on closure properties of the theoretical notion of a set? That is, take the basic definitions for what they are without confusing the borders between intensional and extensional perspectives.


On the Foundations of Interaction Design Aesthetics: Revisiting the Notions of Form and Expression

April 2011

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134 Reads

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42 Citations

International Journal of Design

Form and expression are basic notions in design aesthetics and design aesthetics education. This is something firmly rooted in architecture, product design, industrial design, fashion design and so forth, but how should we understand these notions in interaction design? There is a need here to fill a gap in the foundations of interaction design. This paper revisits "form" and "expression" to discuss the interpretation of these concepts in the context of interaction design aesthetics. The paper provides a general foundational discussion and considers the implications of relating interaction design to design aesthetics at a fundamental level, rather than to notions from behavioral and social science as is usual in the area of Human Computer Interaction.



Introduction to Special Issue on the Aesthetics of Interaction

November 2008

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138 Reads

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37 Citations

ACM Transactions on Computer-Human Interaction

The article introduces a framework for users' design quality judgments based on Adaptive Decision Making theory. The framework describes judgment on quality attributes (usability, content/functionality, aesthetics, customisation and engagement) with ...






On the Proof-theoretic Foundation of General Definition Theory

February 2006

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17 Reads

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20 Citations

Synthese

A general definition theory should serve as a foundation for the mathematical study of definitional structures. The central notion of such a theory is a precise explication of the intuitively given notion of a definitional structure. The purpose of this paper is to discuss the proof theory of partial inductive definitions as a foundation for this kind of a more general definition theory. Among the examples discussed is a suggestion for a more abstract definition of lambda-terms (derivations in natural deduction) that could provide a basis for a more systematic definitional approach to general proof theory.


Citations (31)


... This demonstrates how much remains to be done in prooftheoretic semantics to achieve significant results of mathematical proof theory, given that Kripke-Platek set theory is related to theories of inductive definitions. For me inductive definitions are a key topic in a proof-theoretic semantics with definitional reflection, in particular when functional closure as in Hallnäs's (2023) contribution (this volume) is taken into account. ...

Reference:

Comments on the Contributions
On the Structure of Proofs

... First, technology is an integral part of our lives -something we live with, not simply something we use (Hallnäs & Redström, 2002). Thus, humanity and technology cannot be treated as two independent systems, but one interwoven socio-technical system (Emery & Trist, 1960) that involves the complex interaction between humans, machines and the environment. ...

From Use to Presence: On the Expressions and Aesthetics of Everyday Computational Things
  • Citing Article
  • June 2002

ACM Transactions on Computer-Human Interaction

... We also conducted some empirical studies on the concept of programmed inefficiency [5,42] in medical decision-making and second-opinion settings. Known precursors of similar approaches are slow technology [43] and reflective design [35], which focus on how technology can encourage and aid a thoughtful and considerate demeanor in users throughout the interaction. Conceptually preliminary proposals in that direction are ''uncomfortable interactions'' [44] and ''critical design'' promoting reflection and critique through making technology ''unfriendly'' to users [45] or subverting assumptions and expectations, like the strong one that decision support systems should only give recommendations and pieces of advice. ...

Slow technology: Designing for reflection
  • Citing Article
  • January 2000

... Chapman's Experiential Framework banks on this emotional attachment in the hope of creating products that are more enduring to lessen waste [10]. Similar arguments were articulated within the domain of aesthetic interactions [35,[45][46][47]; to bring emotions and experience to the foreground, and particularly before efficiency. Routines, emotions and experiences need to be understood for the design to uniquely take shape -coupled tightly with the object's instrumentality and context of use in the everyday [45]. ...

Introduction to Special Issue on the Aesthetics of Interaction
  • Citing Article
  • November 2008

ACM Transactions on Computer-Human Interaction

... Moreover, it opens a space for textile designers to design with electromagnetic textures by exploring the relationship of material, structure and dynamic expressions, thereby broadening the range of design possibilities of smart textiles. It further answers a long-standing call by smart textiles designers for new methods and terminologies to better understand and work with the new material dimensions that smart textiles engage with (Berzowska 2004(Berzowska , 2005Berzowska and Coelho 2005;Hallnas 2008;Worbin 2010;Kettley 2016). ...

Textile interaction design
  • Citing Article
  • January 2008

... Aesthetically-led processes can bolster engagement in the crafting, shaping and making of materials towards a designwhether an object, event or practice (Hallnäs, 2011). Movement as creative and artistic material challenges the notion that materiality is only physical. ...

On the Foundations of Interaction Design Aesthetics: Revisiting the Notions of Form and Expression
  • Citing Article
  • April 2011

International Journal of Design

... With their leitmotif "function resides in the expression of things", Hallnäs and Redström [2] have advocated for not only defining an object's form based on its functionality, but to use form explorations to help discover new applications. In this sense, an aesthetic approach to shapechanging interfaces will not merely improve design literacy about their visceral expressions, but can also pave the way for radically new uses of actuation. ...

Abstract information appliances
  • Citing Conference Paper
  • June 2002

... However, shape-changing interfaces allow for new expressions as their form gradually evolves. Slowness, vagueness, and unpredictability in such interfaces [15] can lead to unique alive-like expressions [5] potentially eliciting a stronger response in interaction from users [38]. In textile interfaces, temporality has been explored as a means to elicit various emotional responses [9,3], to enhance social interaction [17,23], to explore the aesthetics and expressivity of computational technology [2,12,15,32], and more recently, to elicit unique actions from people [7]. ...

Textile Displays; Using textiles to investigate computational technology as design material