Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 36 for “"type theory"”.
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Polynomial-time Martin-Lof type theory
Fragments of extensional Martin-Lof type theory without universes, $ML\sb0,$ are introduced that conservatively extend S. A. Cook and A. Urquhart's $IPV\sp\omega.$ A model for these restricted theories is obtained by interpretation in Feferman's theory APP of operators, a natural model of which is …
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The Dialectica Models of Type Theory
… for building new models of Martin-Löf type theory out of old. We refer to the main techniques as gluing and idempotent splitting. For each we give general conditions under which type constructors exist in the resulting model. These techniques are used to construct some examples of …
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Polynomials and models of type theory
… we construct new models of intensional dependent type theory based on these categories. Firstly, we formalize the conceptual viewpoint that polynomials are built out of sums and products. Polynomial functors make sense in a category when there exist pseudomonads freely adding indexed sums and …
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Cartesian closed bicategories: type theory and coherence
… correspondence between the simply-typed lambda calculus and cartesian closed categories to the bicategorical setting, then use the resulting type theory to prove a coherence result for cartesian closed bicategories. Cartesian closed bicategories---2-categories `up to isomorphism' …
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Cubical Models of Homotopy Type Theory - An Internal Approach
… an account of the cubical sets model of homotopy type theory using an internal type theory for elementary topoi. Homotopy type theory is a variant of Martin-Lof type theory where we think of types as spaces, with terms as points in the space and elements of the identity type as paths. We actualise …
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Formal ᴘ‑Category Theory and Normalisation for Simple Type Theory
This thesis extends ᴘ‑category theory, introduced in Čubrić et al. (1998), and develops ᴘ‑bicategory theory, and thereafter uses them to conduct a ᴘ‑categorical analysis and synthesis of normalisation by evaluation for simple type theory. ᴘ‑category theory was introduced as a non-standard …
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Understanding the Role of Personality Type Theory in the High School Composition Class
… that are characteristic of their personality type. Because existing studies focus on the college freshman writing student, little has been done exploring the role that type theory plays in the high school composition class. Using Carl Jung's theory of psychological type as its basis, this …
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HOMOTOPY SETOIDS AND GENERALIZED QUOTIENT COMPLETION
… arising from the Martin-Löf Intuitionistic Type Theory. In the first part, we introduce the homotopy setoids, considering ideas from the homotopy type theory, and we study their categorical properties. In order to do that, we use the categorical framework of the elementary doctrines …
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Second-Order Algebraic Theories
… equational logic respectively provide a model theory and a formal deductive system for languages with variable binding and parameterised metavariables. This dissertation completes the algebraic foundations of second-order languages from the viewpoint of categorical algebra. In particular, the …
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Program Synthesis With Types
… been less explored than others is the domain of typed, functional programs. This is unfortunate because programs in richly-typed languages like OCaml and Haskell are known for ``writing themselves'' once the programmer gets the types correct. In light of this observation, can we use type theory …
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Linear/non-Linear Types For Embedded Domain-Specific Languages
… when the domain-specific language uses linear types, existing techniques for embedded languages fall short. Linear type systems, which have applications in a wide variety of programming domains including mutable state, I/O, concurrency, and quantum computing, can manipulate embedded non-linear …
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Coupled deformation-diffusion-fracture theories for solids : application to polymeric gels and hydrogen embrittlement in steels
… a thermodynamically consistent phase-field type theory for fracture of gels. A central feature of our theory is the recognition that the free energy of polymeric materials is not entirely entropic in nature, there is also an energetic contribution from the deformation of the backbone bonds …
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L-Fuzzy Relations in Coq
… based on Higher-Order Logic (HOL) with dependent types. This implementation can be used to specify and develop correct software based on L-fuzzy relations such as fuzzy controllers. We give an overview of lattices, L-fuzzy relations, category theory and dependent type theory before describing our …
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Type theoretic weak factorization systems
… factorization systems that can interpret the theory of intensional dependent type theory with Σ, Π, and identity types. We use display map categories to serve as models of intensional dependent type theory. If a display map category (C, D) models Σ and identity types, then this structure …
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Types, categories, actions
… the standard relational model. We then alter the type system leading to a general categorical framework for type systems with dimension types. We develop some informative models of this type theory, including a model based on group actions that captures invariance under scaling.
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The Relationship of Writing Preference and Personality Type
… writing preference and Myers-Briggs personality type (MBTI). Subjects (N = 142) came from undergraduate and graduate composition students, who had already taken the MBTI, a self-administering forced choice instrument, and were enrolled at either Southwest Missouri State University or the …
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Using psychological type for developmental coaching: the inclusion of intrapersonal type dynamics, effectiveness related to aspects of ego development, and the individual's capacity for development
… review suggests that, rather than different types of coaching being described in categorical terms, a continuum approach may be more appropriate. In response to criticisms that the Myers-Briggs theory of psychological types lacks comprehensiveness as a theory and that, as a result, its …
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Statistical physics of isotropic-genesis nematic elastomers
… In this thesis, we derive a Landau-type theory of an IGNE, starting from from a microscopic model which consists of dimers that are randomly, permanently, and instantaneously cross-linked via springs. The Landau-type theory involves (a) a nonlocal, network-mediated, nematic-nematic …
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A type-theoretic approach to semistrict higher categories
… for adding definitional equality to the type theory Catt, a type theory whose models correspond to globular weak ∞-categories, which was introduced by Finster and Mimram. Adding equality to this theory causes the models to exhibit semistrict behaviour, trivialising some operations while …
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