# Advanced Algebra and Logic

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-algebra-and-logic/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers explores the intersection of fuzzy logic, residuated lattices, t-norms, MV-algebras, quantum logic, and automata theory. It delves into mathematical fuzzy logic, modal logics, and algebraic semantics within the context of probability theory. |
| Domain | Physical Sciences |
| Field | Computer Science |
| OpenAlex ID | t11727 |
| Works | 11 |

## Topic papers all

- [Multiplicative Theory of Ideals.](https://scholariq.org/papers/multiplicative-theory-of-ideals/)
- [Vagueness, Logic and Use: Four Experimental Studies on Vagueness](https://scholariq.org/papers/vagueness-logic-and-use-four-experimental-studies-on-vagueness/)
- [L'Indeformabilite des Relations et Multirelations Binaires](https://scholariq.org/papers/l-indeformabilite-des-relations-et-multirelations-binaires/)
- [RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> ‐ 1) I](https://scholariq.org/papers/reconstruction-of-binary-relations-from-their-restrictions-of-cardinality-2-3-4/)
- [Synthesis and analysis of fuzzy logic finite state machine models](https://scholariq.org/papers/synthesis-and-analysis-of-fuzzy-logic-finite-state-machine-models/)
- [A sound and complete fuzzy logic system using Zadeh's implication operator](https://scholariq.org/papers/a-sound-and-complete-fuzzy-logic-system-using-zadeh-s-implication-operator/)
- [Fuzzy equivalence relation redefined](https://scholariq.org/papers/fuzzy-equivalence-relation-redefined/)
- [Hybrid fuzzy-Boolean automata for ontological controllers](https://scholariq.org/papers/hybrid-fuzzy-boolean-automata-for-ontological-controllers/)
- [The minimal non-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mo>⩽</mml:mo><mml:mi>k</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-reconstructible relations](https://scholariq.org/papers/the-minimal-non-mml-math-xmlns-mml-http-www-w3-org-1998-math-mathml-altimg-si1/)
- [La relation différence et l'anti‐isomorphie](https://scholariq.org/papers/la-relation-difference-et-l-anti-isomorphie/)
- [RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> ‐ 1) II](https://scholariq.org/papers/reconstruction-of-binary-relations-from-their-restrictions-of-cardinality-2-3-4-2/)

## Topic primary papers

- [Vagueness, Logic and Use: Four Experimental Studies on Vagueness](https://scholariq.org/papers/vagueness-logic-and-use-four-experimental-studies-on-vagueness/)
- [RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> ‐ 1) I](https://scholariq.org/papers/reconstruction-of-binary-relations-from-their-restrictions-of-cardinality-2-3-4/)
- [A sound and complete fuzzy logic system using Zadeh's implication operator](https://scholariq.org/papers/a-sound-and-complete-fuzzy-logic-system-using-zadeh-s-implication-operator/)
- [The minimal non-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mo>⩽</mml:mo><mml:mi>k</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-reconstructible relations](https://scholariq.org/papers/the-minimal-non-mml-math-xmlns-mml-http-www-w3-org-1998-math-mathml-altimg-si1/)
- [RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> ‐ 1) II](https://scholariq.org/papers/reconstruction-of-binary-relations-from-their-restrictions-of-cardinality-2-3-4-2/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.