A Note on the Complexity of Optimality Systems
نویسنده
چکیده
Optimality Theory (OT) has a growing importance in various disciplines of linguistics. The way in which correct linguistic expressions are generated according to OT can be captured formally in an Optimality System (OS). An OS de nes a relation between an input and an output using a binary relation, called gen, on the domain, and a set of constraints. Frank and Satta ([1]) have shown that an OS in which gen is a rational relation on strings and which has only regular constraints de nes again a rational relation. This result is of great importance for phonological applications of OT. For syntax, however, it cannot be assumed that gen is a rational relation on strings. Since OT syntax is a theory about trees, it seems natural to lift OSs for this purpose to the domain of trees and relations on trees. It is shown in this paper that the result concerning regular string languages can be extended to regular tree languages and it is sketched how such a system might work for natural language syntax.
منابع مشابه
An Algorithm to Compute the Complexity of a Static Production Planning (RESEARCH NOTE)
Complexity is one of the most important issues of any production planning. The increase in complexity of production planning can cause inconsistency between a production plan and an actual outcome. The complexity generally can be divided in two categories, the static complexity and the dynamic complexity, which can be computed using the ant ropy formula. The formula considers the probability of...
متن کاملA New Combination of Robust-possibilistic Mathematical Programming for Resilient Supply Chain Network under Disruptions and Uncertainty: A Real Supply Chain (RESEARCH NOTE)
Nowadays, the design of a strategic supply chain network under disruption is one of the most important priorities of the governments. One of the strategic purposes of managers is to supply the sustainable agricultural products and food in stable conditions which require the production of soil nutrients. In this regard, some disruptions such as sanctions and natural disasters have a destructive ...
متن کاملComplex Leadership in Healthcare: A Scoping Review
Background Nowadays, health systems are generally acknowledged to be complex social systems. Consequently, scholars, academics, practitioners, and policy-makers are exploring how to adopt a complexity perspective in health policy and system research. While leadership and complexity has been studied extensively outside health, the implications of complexity theories for the study of leader...
متن کاملReduction of Computational Complexity in Finite State Automata Explosion of Networked System Diagnosis (RESEARCH NOTE)
This research puts forward rough finite state automata which have been represented by two variants of BDD called ROBDD and ZBDD. The proposed structures have been used in networked system diagnosis and can overcome cominatorial explosion. In implementation the CUDD - Colorado University Decision Diagrams package is used. A mathematical proof for claimed complexity are provided which shows ZBDD ...
متن کاملConnections, Communication and Collaboration in Healthcare’s Complex Adaptive Systems; Comment on “Using Complexity and Network Concepts to Inform Healthcare Knowledge Translation”
A more sophisticated understanding of the unpredictable, disorderly and unstable aspects of healthcare organisations is developing in the knowledge translation (KT) literature. In an article published in this journal, Kitson et al introduced a new model for KT in healthcare based on complexity theory. The Knowledge Translation Complexity Network Model (KTCNM) provides a fresh perspective by mak...
متن کاملOn the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)
This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.
متن کامل