scholarly journals Learning nonlinear loop invariants with gated continuous logic networks

2020 ◽  
Author(s):  
Jianan Yao ◽  
Gabriel Ryan ◽  
Justin Wong ◽  
Suman Jana ◽  
Ronghui Gu
Keyword(s):  
Continuous Logic

Completeness for linear continuous logic

2015 ◽  
pp. exv070
Author(s):  
Seyed-Mohammad Bagheri ◽  
Roghieh Safari
Keyword(s):  
Continuous Logic

Maximality of linear continuous logic

2018 ◽  
Vol 64 (3) ◽  
pp. 185-191
Author(s):  
Mahya Malekghasemi ◽  
Seyed-Mohammad Bagheri
Keyword(s):  
Continuous Logic

scholarly journals How to implement MCDM tools and continuous logic into neural computation?

2020 ◽  
Vol 210 ◽  
pp. 106530
Author(s):  
Orsolya Csiszár ◽  
Gábor Csiszár ◽  
József Dombi
Keyword(s):  
Neural Computation ◽  
Continuous Logic

Many-valued logics of extended Gentzen style II

1970 ◽  
Vol 35 (4) ◽  
pp. 493-528 ◽  
Author(s):  
Moto-o Takahashi
Keyword(s):  
Topological Space ◽  
Model Theory ◽  
Natural Extension ◽  
Preceding Paper ◽  
Considerable Extent ◽  
Continuous Logic ◽  
First Order ◽  
Natural Extensions ◽  
Fundamental Theorems ◽  
Order Continuous

In the monograph [1] of Chang and Keisler, a considerable extent of model theory of the first order continuous logic (that is, roughly speaking, many-valued logic with truth values from a topological space) is ingeniously developed without using any notion of provability.In this paper we shall define the notion of provability in continuous logic as well as the notion of matrix, which is a natural extension of one in finite-valued logic in [2], and develop the syntax and semantics of it mostly along the line in the preceding paper [2]. Fundamental theorems of model theory in continuous logic, which have been proved with purely model-theoretic proofs (i.e. those proofs which do not use any proof-theoretic notions) in [1], will be proved with proofs which are natural extensions of those in two-valued logic.

scholarly journals ON PERTURBATIONS OF CONTINUOUS STRUCTURES

2008 ◽  
Vol 08 (02) ◽  
pp. 225-249 ◽  
Author(s):  
ITAÏ BEN YAACOV
Keyword(s):  
General Framework ◽  
Continuous Logic ◽  
Small Perturbations ◽  
Separable Models ◽  
Complete Theories

We give a general framework for the treatment of perturbations of types and structures in continuous logic, allowing to specify which parts of the logic may be perturbed. We prove that separable, elementarily equivalent structures which are approximately ℵ0-saturated up to arbitrarily small perturbations are isomorphic up to arbitrarily small perturbations (where the notion of perturbation is part of the data). As a corollary, we obtain a Ryll–Nardzewski style characterization of complete theories all of whose separable models are isomorphic up to arbitrarily small perturbations.

l-Groups C(X) in continuous logic

2017 ◽  
Vol 57 (3-4) ◽  
pp. 239-272 ◽  
Author(s):  
Philip Scowcroft
Keyword(s):  
Continuous Logic
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