Nonclassical Logics and Their Applications: Post-proceedings of the 8th International Workshop on Logic and Cognition (Logic in Asia: Studia Logica Library)

Preface
Contents
Hyperstates of Involutive MTL-Algebras that Satisfy (2x)2=2(x2)
	1 Motivation
	2 Abelian ell-Groups, MV-Algebras and Their States
	3 From ell-Monoids to ell-Groups and Hoops
	4 States of Prelinear Semihoops
	5 States of IBP0-Algebras and Their Representation
	6 Conclusions and Future Work
	References
The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and  Choice-Set Forms
	1 Introduction
		1.1 Some Foundational Issues
		1.2 Specification Styles
		1.3 General Motivation
		1.4 This Paper\'s Categorical Investments
		1.5 This Paper\'s Categorical Dividends
		1.6 Explicitness for Novice Category Theorists and Others
		1.7 Organization
	2 The Category of Node-and-Choice Forms
		2.1 Objects
		2.2 Morphisms
		2.3 The Category NCF
		2.4 No-Absentmindedness and Perfect-Information
	3 The Subcategory of Choice-Sequence Forms
		3.1 Objects
		3.2 Isomorphic Enclosure
		3.3 More About No-Absentmindedness
	4 The Subcategory of Choice-Set Forms
		4.1 Objects
		4.2 Isomorphic Enclosure
		4.3 More About Perfect-Information
	5 Further Remarks
		5.1 Deducing Consequences from an Isomorphic Enclosure
		5.2 Future Research
	References
About the Temporal Logic of the Lexicographic Products of Unbounded Dense Linear Orders: A New Study  of Its Computability
	1 Introduction
	2 Products of Unbounded Dense Linear Orders
	3 Syntax and Semantics
	4 Mosaics
	5 Maps
	6 Correctness and Completeness of the Mosaic Method
		6.1 Correctness
		6.2 Completeness
	7 Decidability and Complexity
	8 Conclusion
	References
Contact Logic is Finitary for Unification with Constants
	1 Introduction
	2 Syntax
	3 Semantics
	4 About Classes of Frames
	5 Unifiability
	6 Examples
	7 Monomials and Polynomials
	8 Equivalence Relations Between Tuples of Bits
	9 Equivalence Relations Between Formulas
	10 Unification Type
	11 Conclusion
	References
A Multi-agent Default Theory  of Permission
	1 Multi-agent Prioritized Default Theory
		1.1 Agent-Relative Defeasible Obligations
	2 Three Types of Permissions
		2.1 Weak Permissions
		2.2 Explicit Permissions
		2.3 Tacit Permissions
		2.4 A Fourth Type: Protected Permissions
	3 Conclusion
	References
Algebraic Semantics for Hybrid Logics
	1 Introduction
	2 Preliminaries
	3 Algebraic Semantics
		3.1 Algebraic Semantics for the Language mathcalH
		3.2 Algebraic Semantics for the Language mathcalH(@)
		3.3 Duality with Two Sorted-General Frames
	4 Algebraic Completeness: Axiomatic Extensions of H  and H+
		4.1 Completeness of H oplusΣ
		4.2 Completeness of H+oplusΣ
	5 Algebraic Completeness: Axiomatic Extensions of H(@) and H+(@)
		5.1 Completeness of H(@)oplusΣ
		5.2 Algebraic Completeness of H+(@)oplusΣ
	6 Global Completeness
	7 Conclusion
	References