27 citations · 29 across the 19 of their papers we have counts for
9 papers · 1 filter
Complex coordinates forced by finite orthogonality hypergraphs in dimension three
Mirko Navara, Karl Svozil
We exhibit two finite orthogonality hypergraphs that admit faithful orthogonal representations by rays in complex three-dimensional space but admit none in real three-dimensional s…
Pseudocontexts forced by finite context hypergraphs
Mirko Navara, Karl Svozil
A context is a complete set of mutually exclusive outcomes whose probabilities sum to one. We define a pseudocontext as two disjoint groups, with no mutually exclusive pair within…
Local Softmax and Global Weights in Non-Boolean Event Structures
Karl Svozil
Softmax and related normalized response functions are widely used in choice theory, machine learning, and cognitive science. In non-Boolean event structures with overlapping contex…
Answer Partitions and Oracle Access Determine Quantum Query Complexity
Karl Svozil
An answer partition specifies which oracle instances share an output, while query complexity also depends on how those instances are accessed. We formulate exact one-query answer-p…
Double-Exponential Quasi-Orthogonality: The Geometry of Decoherence
Karl Svozil
A composite system of N local q-level factors has dimension D=q^N. Although at most D vectors can be exactly orthogonal, a fixed squared-overlap tolerance \eps permits M_\eps(D)\gt…
Quantum Structures as Generative Scores: Partition Logic, Generative Logic, and Aesthetic Form
Christian Jendreiko, Karl Svozil
We connect partition logic with Generative Logic by translating finite partition logics into Prolog-based Simple Generative Logic Grammars. As a proof of concept, we use the five-a…
Computable Countermarkets and the Limits of Universal Trading
Karl Svozil
We explain why no trading algorithm can guarantee profit in every market. For each deterministic program that always returns an exact rational position, we construct a fixed, algor…
Complementarity in Social Measurement: A Partition-Logic Approach
Karl Svozil
Partition logics -- non-Boolean event structures obtained by pasting Boolean algebras -- provide a natural language for situations in which a system has a definite latent state but…
Dirac's Dilemma of the Economy of Inheritance: Parental Care, Equality of Opportunity, and Managed Inequality
Karl Svozil
In a brief reflection on the principles of human society, P. A. M. Dirac articulated a structural tension between two widely affirmed norms: that it is good and natural for parents…