Scales and Hedges in a Logic with Analogous Semantics
Hedda R. Schmidtke, Sara Coelho

TL;DR
This paper introduces a novel logical framework combining analogous semantics with a two-layered logic system, addressing complex formula formation and reasoning, with applications in cognitive and social decision-making.
Contribution
It extends the Context Logic (CL) to handle scales for adjective and verb semantics, integrating it with the Activation Bit Vector Machine for improved reasoning.
Findings
Handles complex formulae formation and grounding.
Integrates scales for adjective and verb semantics.
Provides a reasoning mechanism based on VSA model.
Abstract
Logics with analogous semantics, such as Fuzzy Logic, have a number of explanatory and application advantages, the most well-known being the ability to help experts develop control systems. From a cognitive systems perspective, such languages also have the advantage of being grounded in perception. For social decision making in humans, it is vital that logical conclusions about others (cognitive empathy) are grounded in empathic emotion (affective empathy). Classical Fuzzy Logic, however, has several disadvantages: it is not obvious how complex formulae, e.g., the description of events in a text, can be (a) formed, (b) grounded, and (c) used in logical reasoning. The two-layered Context Logic (CL) was designed to address these issue. Formally based on a lattice semantics, like classical Fuzzy Logic, CL also features an analogous semantics for complex fomulae. With the Activation Bit…
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Taxonomy
TopicsAdvanced Algebra and Logic · Logic, Reasoning, and Knowledge · Fuzzy Logic and Control Systems
