21,730 research outputs found
A Substructural Epistemic Resource Logic: Theory and Modelling Applications
We present a substructural epistemic logic, based on Boolean BI, in which the
epistemic modalities are parametrized on agents' local resources. The new
modalities can be seen as generalizations of the usual epistemic modalities.
The logic combines Boolean BI's resource semantics --- we introduce BI and its
resource semantics at some length --- with epistemic agency. We illustrate the
use of the logic in systems modelling by discussing some examples about access
control, including semaphores, using resource tokens. We also give a labelled
tableaux calculus and establish soundness and completeness with respect to the
resource semantics
A Labelled Analytic Theorem Proving Environment for Categorial Grammar
We present a system for the investigation of computational properties of
categorial grammar parsing based on a labelled analytic tableaux theorem
prover. This proof method allows us to take a modular approach, in which the
basic grammar can be kept constant, while a range of categorial calculi can be
captured by assigning different properties to the labelling algebra. The
theorem proving strategy is particularly well suited to the treatment of
categorial grammar, because it allows us to distribute the computational cost
between the algorithm which deals with the grammatical types and the algebraic
checker which constrains the derivation.Comment: 11 pages, LaTeX2e, uses examples.sty and a4wide.st
Towards an efficient prover for the C1 paraconsistent logic
The KE inference system is a tableau method developed by Marco Mondadori
which was presented as an improvement, in the computational efficiency sense,
over Analytic Tableaux. In the literature, there is no description of a theorem
prover based on the KE method for the C1 paraconsistent logic. Paraconsistent
logics have several applications, such as in robot control and medicine. These
applications could benefit from the existence of such a prover. We present a
sound and complete KE system for C1, an informal specification of a strategy
for the C1 prover as well as problem families that can be used to evaluate
provers for C1. The C1 KE system and the strategy described in this paper will
be used to implement a KE based prover for C1, which will be useful for those
who study and apply paraconsistent logics.Comment: 16 page
Emergent Phase Space Description of Unitary Matrix Model
We show that large phases of a dimensional generic unitary matrix
model (UMM) can be described in terms of topologies of two dimensional droplets
on a plane spanned by eigenvalue and number of boxes in Young diagram.
Information about different phases of UMM is encoded in the geometry of
droplets. These droplets are similar to phase space distributions of a unitary
matrix quantum mechanics (UMQM) ( dimensional) on constant time
slices. We find that for a given UMM, it is possible to construct an effective
UMQM such that its phase space distributions match with droplets of UMM on
different time slices at large . Therefore, large phase transitions in
UMM can be understood in terms of dynamics of an effective UMQM. From the
geometry of droplets it is also possible to construct Young diagrams
corresponding to representations and hence different large states of
the theory in momentum space. We explicitly consider two examples : single
plaquette model with terms and Chern-Simons theory on . We
describe phases of CS theory in terms of eigenvalue distributions of unitary
matrices and find dominant Young distributions for them.Comment: 52 pages, 15 figures, v2 Introduction and discussions extended,
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