# Consultation to Effectiveness and Logical Meaning

### Susumu Yamasaki, Mariko Sasakura

#### 2022

#### Abstract

This paper deals with consultation as a role of consultant like a teacher in a virtual reality class for lessons. The consultation subject is taken in causal analysis and database design to conceive causal relation. The causal analysis is abstracted into effectiveness which is caused by requisites and prohibitions for effects. The database design is represented as recursive Backus-Naur Form for structural expressions. Then abstract consultation can be regarded as a function to transform effectiveness into recursive representation. The sense or meaning of such abstract consultation may be a semantics of conditioned formulas in modal logic. The modal logic is formulated in this paper, by extending postfix modality for name of database design as well as greatest fixed point operator for denoting an equilibrium state set where the transformation of effectiveness with prefix modality to design with postfix modality may be available. The conditioning of formulas is given by a state set so that the formula may be considered in terms of propositional base. As regards recursive representations in Backus-Naur Form for database design, model theory is established in 3-valued domain, for the sense of strong negation in accordance to prohibitions influencing effectiveness. Some fixed point is taken for the mapping associated with recursive representations, where the mapping is related to formations of models over 3-valued domain. The fixed point model can be seen as means of retrieval. However, because the mapping is generally a nonmonotonic function whose fixed point semantics is not always available, we have another method to adopt negation as failure for strong negation such that the model of a given recursive representation as database is always guaranteed if the representation takes a restricted form. Abstract consultation to effectiveness for database design is thus formulated, with model theory in database representations.

Download#### Paper Citation

#### in Harvard Style

Yamasaki S. and Sasakura M. (2022). **Consultation to Effectiveness and Logical Meaning**. In *Proceedings of the 7th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS,* ISBN 978-989-758-565-4, pages 57-64. DOI: 10.5220/0010977400003197

#### in Bibtex Style

@conference{complexis22,

author={Susumu Yamasaki and Mariko Sasakura},

title={Consultation to Effectiveness and Logical Meaning},

booktitle={Proceedings of the 7th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS,},

year={2022},

pages={57-64},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0010977400003197},

isbn={978-989-758-565-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 7th International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS,

TI - Consultation to Effectiveness and Logical Meaning

SN - 978-989-758-565-4

AU - Yamasaki S.

AU - Sasakura M.

PY - 2022

SP - 57

EP - 64

DO - 10.5220/0010977400003197