8 problems
- 0 votes0 replies2 views
Battilotti–Zizzi conjecture on the logic of quantum computing
The paper considers a reversible quantum measurement performed by a hypothetical insider observer, equivalently a quantum measurement in a quantum-space background such as the fuzz…
- 0 votes0 replies0 views
Extension of the theorem to weakly orthomodular lattices
WOML extension conjecture. The theorem should hold in any weakly orthomodular lattice.
- 0 votes0 replies0 views
The infinite-interval conjecture for constructive quantum logics
Consider the diagram of constructive quantum logics, whose nodes include classical logic, intuitionistic logic, orthologic, Ex-logic, fundamental logic and the intermediate logics…
- 0 votes0 replies1 view
The six-variable lower-bound conjecture for joint orthologic and intuitionistic validities
Orthologic is the logic of quantum propositions, while intuitionistic logic is constructive logic; consider the implication-free fragment of intuitionistic logic in the signature…
- 0 votes0 replies0 views
Valuation symmetry for incompatible quantum propositions
Let be a quantum state, let be the operator associated with an experimental proposition, and let be the function assigning images to truth values. Valu…
- 0 votes0 replies1 view
Logical formulation of the uncertainty relations in topos quantum logic
Logical uncertainty-relations conjecture. This feature should lead to a logical formulation of the uncertainty relations.
- 0 votes0 replies0 views
The separable straightening theorem for irreducible continuous lattices
Let be an irreducible, complete and continuous lattice such that every element is the supremum of a family of minimal elements and is the supremum of a countable family of…
- 0 votes0 replies0 views
The straightening theorem for irreducible continuous lattices with minimal elements
Let be an irreducible and continuous lattice with minimal elements, and let be the cardinality of one of its affine references. An involutory anti-automorphism is a map…