Hybrid organic-inorganic perovskites : modeling, state estimation, and control / / Wei Li [and three others] |
Autore | Li Wei |
Pubbl/distr/stampa | Weinheim, Germany : , : Wiley-VCH, , 2020 |
Descrizione fisica | 1 online resource (293 pages) |
Disciplina | 540 |
Soggetto topico | Hybrid perovskites |
Soggetto genere / forma | Electronic books. |
ISBN |
1-5231-3669-3
3-527-34436-5 3-527-34433-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910555170903321 |
Li Wei
![]() |
||
Weinheim, Germany : , : Wiley-VCH, , 2020 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Hybrid organic-inorganic perovskites : modeling, state estimation, and control / / Wei Li [and three others] |
Autore | Li Wei |
Pubbl/distr/stampa | Weinheim, Germany : , : Wiley-VCH, , 2020 |
Descrizione fisica | 1 online resource (293 pages) |
Disciplina | 540 |
Soggetto topico | Hybrid perovskites |
ISBN |
1-5231-3669-3
3-527-34436-5 3-527-34433-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910830727303321 |
Li Wei
![]() |
||
Weinheim, Germany : , : Wiley-VCH, , 2020 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Mathematical Logic : Foundations for Information Science / / by Wei Li |
Autore | Li Wei |
Edizione | [2nd ed. 2014.] |
Pubbl/distr/stampa | Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2014 |
Descrizione fisica | 1 online resource (XIV, 301 p. 13 illus.) |
Disciplina | 511.3 |
Collana | Progress in Computer Science and Applied Logic |
Soggetto topico |
Mathematical logic
Mathematical Logic and Formal Languages Mathematical Logic and Foundations |
ISBN | 3-0348-0862-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Preface to the Second Edition -- I Elements of Mathematical Logic -- 1 Syntax of First-Order Languages -- 2 Models of First-Order Languages -- 3 Formal Inference Systems -- 4 Computability & Representability -- 5 Gödel Theorems -- II Logical Framework of Scientific Discovery -- 6 Sequences of Formal Theories -- 7 Revision Calculus -- 8 Version Sequences -- 9 Inductive Inference -- 10 Meta-Language Environments -- Appendix 1 Sets and Maps -- Appendix 2 Proof of the Representability Theorem -- Bibliography -- Index. |
Record Nr. | UNINA-9910768186603321 |
Li Wei
![]() |
||
Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
R-CALCULUS : a logic of belief revision / / Wei Li, Yuefei Sui |
Autore | Li Wei |
Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (210 pages) |
Disciplina | 515 |
Collana | Perspectives in Formal Induction, Revision and Evolution |
Soggetto topico |
Calculus
Software Mathematical Concepts R (Computer program language) |
ISBN | 981-16-2944-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface to the Series -- Preface -- Contents -- 1 Introduction -- 1.1 Belief Revision -- 1.2 R-Calculus -- 1.3 Extending R-Calculus -- 1.4 Approximate R-Calculus -- 1.5 Applications of R-Calculus -- References -- 2 Preliminaries -- 2.1 Propositional Logic -- 2.1.1 Syntax and Semantics -- 2.1.2 Gentzen Deduction System -- 2.1.3 Soundness and Completeness Theorem -- 2.2 First-Order Logic -- 2.2.1 Syntax and Semantics -- 2.2.2 Gentzen Deduction System -- 2.2.3 Soundness and Completeness Theorem -- 2.3 Description Logic -- 2.3.1 Syntax and Semantics -- 2.3.2 Gentzen Deduction System -- 2.3.3 Completeness Theorem -- References -- 3 R-Calculi for Propositional Logic -- 3.1 Minimal Changes -- 3.1.1 Subset-Minimal Change -- 3.1.2 Pseudo-Subformulas-Minimal Change -- 3.1.3 Deduction-Based Minimal Change -- 3.2 R-Calculus for subseteq-Minimal Change -- 3.2.1 R-Calculus S for a Formula -- 3.2.2 R-Calculus S for a Theory -- 3.2.3 AGM Postulates Asubseteq for subseteq-Minimal Change -- 3.3 R-Calculus for preceq-Minimal Change -- 3.3.1 R-Calculus T for a Formula -- 3.3.2 R-Calculus T for a Theory -- 3.3.3 AGM Postulates Apreceq for preceq-Minimal Change -- 3.4 R-Calculus for vdashpreceq-Minimal Change -- 3.4.1 R-Calculus U for a Formula -- 3.4.2 R-Calculus U for a Theory -- References -- 4 R-Calculi for Description Logics -- 4.1 R-Calculus for subseteq-Minimal Change -- 4.1.1 R-Calculus SDL for a Statement -- 4.1.2 R-Calculus SDL for a Set of Statements -- 4.2 R-Calculus for preceq-Minimal Change -- 4.2.1 Pseudo-Subconcept-Minimal Change -- 4.2.2 R-Calculus TDL for a Statement -- 4.2.3 R-Calculus TDL for a Set of Statements -- 4.3 Discussion on R-Calculus for vdashpreceq-Minimal Change -- References -- 5 R-Calculi for Modal Logic -- 5.1 Propositional Modal Logic -- 5.2 R-Calculus SM for subseteq-Minimal Change.
5.3 R-Calculus TM for preceq-Minimal Change -- 5.4 R-Modal Logic -- 5.4.1 A Logical Language of R-Modal Logic -- 5.4.2 R-Modal Logic -- References -- 6 R-Calculi for Logic Programming -- 6.1 Logic Programming -- 6.1.1 Gentzen Deduction Systems -- 6.1.2 Dual Gentzen Deduction System -- 6.1.3 Minimal Change -- 6.2 R-Calculus SLP for subset-Minimal Change -- 6.3 R-Calculus TLP for preceq-Minimal Change -- References -- 7 R-Calculi for First-Order Logic -- 7.1 R-Calculus for subseteq-Minimal Change -- 7.1.1 R-Calculus SFOL for a Formula -- 7.1.2 R-Calculus SFOL for a Theory -- 7.2 R-Calculus for preceq-Minimal Change -- 7.2.1 R-Calculus TFOL for a Formula -- 7.2.2 R-Calculus TFOL for a Theory -- References -- 8 Nonmonotonicity of R-Calculus -- 8.1 Nonmonotonic Propositional Logic -- 8.1.1 Monotonic Gentzen Deduction System G'1 -- 8.1.2 Nonmonotonic Gentzen Deduction System Logic G2 -- 8.1.3 Nonmonotonicity of G2 -- 8.2 Involvement of ΓA in a Nonmonotonic Logic -- 8.2.1 Default Logic -- 8.2.2 Circumscription -- 8.2.3 Autoepistemic Logic -- 8.2.4 Logic Programming with Negation as Failure -- 8.3 Correspondence Between R-Calculus and Default Logic -- 8.3.1 Transformation from R-Calculus to Default Logic -- 8.3.2 Transformation from Default Logic to R-Calculus -- References -- 9 Approximate R-Calculus -- 9.1 Finite Injury Priority Method -- 9.1.1 Post's Problem -- 9.1.2 Construction with Oracle -- 9.1.3 Finite Injury Priority Method -- 9.2 Approximate Deduction -- 9.2.1 Approximate Deduction System for First-Order Logic -- 9.3 R-Calculus Fapp and Finite Injury Priority Method -- 9.3.1 Construction with Oracle -- 9.3.2 Approximate Deduction System Fapp -- 9.3.3 Recursive Construction -- 9.3.4 Approximate R-Calculus Frec -- 9.4 Default Logic and Priority Method -- 9.4.1 Construction of an Extension Without Injury. 9.4.2 Construction of a Strong Extension with Finite Injury Priority Method -- References -- 10 An Application to Default Logic -- 10.1 Default Logic and Subset-Minimal Change -- 10.1.1 Deduction System SD for a Default -- 10.1.2 Deduction System SD for a Set of Defaults -- 10.2 Default Logic and Pseudo-subformula-minimal Change -- 10.2.1 Deduction System TD for a Default -- 10.2.2 Deduction System TD for a Set of Defaults -- 10.3 Default Logic and Deduction-Based Minimal Change -- 10.3.1 Deduction System UD for a Default -- 10.3.2 Deduction System UD for a Set of Defaults -- References -- 11 An Application to Semantic Networks -- 11.1 Semantic Networks -- 11.1.1 Basic Definitions -- 11.1.2 Deduction System G4 for Semantic Networks -- 11.1.3 Soundness and Completeness Theorem -- 11.2 R-Calculus for subseteq-Minimal Change -- 11.2.1 R-Calculus SSN for a Statement -- 11.2.2 Soundness and Completeness Theorem -- 11.2.3 Examples -- 11.3 R-Calculus for preceq-Minimal Change -- 11.3.1 R-Calculus TSN for a Statement -- 11.3.2 Soundness and Completeness Theorem of TSN -- References -- Index. |
Record Nr. | UNISA-996464408403316 |
Li Wei
![]() |
||
Singapore : , : Springer, , [2021] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
R-CALCULUS : a logic of belief revision / / Wei Li, Yuefei Sui |
Autore | Li Wei |
Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (210 pages) |
Disciplina | 515 |
Collana | Perspectives in Formal Induction, Revision and Evolution |
Soggetto topico |
Calculus
Software Mathematical Concepts R (Computer program language) |
ISBN | 981-16-2944-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface to the Series -- Preface -- Contents -- 1 Introduction -- 1.1 Belief Revision -- 1.2 R-Calculus -- 1.3 Extending R-Calculus -- 1.4 Approximate R-Calculus -- 1.5 Applications of R-Calculus -- References -- 2 Preliminaries -- 2.1 Propositional Logic -- 2.1.1 Syntax and Semantics -- 2.1.2 Gentzen Deduction System -- 2.1.3 Soundness and Completeness Theorem -- 2.2 First-Order Logic -- 2.2.1 Syntax and Semantics -- 2.2.2 Gentzen Deduction System -- 2.2.3 Soundness and Completeness Theorem -- 2.3 Description Logic -- 2.3.1 Syntax and Semantics -- 2.3.2 Gentzen Deduction System -- 2.3.3 Completeness Theorem -- References -- 3 R-Calculi for Propositional Logic -- 3.1 Minimal Changes -- 3.1.1 Subset-Minimal Change -- 3.1.2 Pseudo-Subformulas-Minimal Change -- 3.1.3 Deduction-Based Minimal Change -- 3.2 R-Calculus for subseteq-Minimal Change -- 3.2.1 R-Calculus S for a Formula -- 3.2.2 R-Calculus S for a Theory -- 3.2.3 AGM Postulates Asubseteq for subseteq-Minimal Change -- 3.3 R-Calculus for preceq-Minimal Change -- 3.3.1 R-Calculus T for a Formula -- 3.3.2 R-Calculus T for a Theory -- 3.3.3 AGM Postulates Apreceq for preceq-Minimal Change -- 3.4 R-Calculus for vdashpreceq-Minimal Change -- 3.4.1 R-Calculus U for a Formula -- 3.4.2 R-Calculus U for a Theory -- References -- 4 R-Calculi for Description Logics -- 4.1 R-Calculus for subseteq-Minimal Change -- 4.1.1 R-Calculus SDL for a Statement -- 4.1.2 R-Calculus SDL for a Set of Statements -- 4.2 R-Calculus for preceq-Minimal Change -- 4.2.1 Pseudo-Subconcept-Minimal Change -- 4.2.2 R-Calculus TDL for a Statement -- 4.2.3 R-Calculus TDL for a Set of Statements -- 4.3 Discussion on R-Calculus for vdashpreceq-Minimal Change -- References -- 5 R-Calculi for Modal Logic -- 5.1 Propositional Modal Logic -- 5.2 R-Calculus SM for subseteq-Minimal Change.
5.3 R-Calculus TM for preceq-Minimal Change -- 5.4 R-Modal Logic -- 5.4.1 A Logical Language of R-Modal Logic -- 5.4.2 R-Modal Logic -- References -- 6 R-Calculi for Logic Programming -- 6.1 Logic Programming -- 6.1.1 Gentzen Deduction Systems -- 6.1.2 Dual Gentzen Deduction System -- 6.1.3 Minimal Change -- 6.2 R-Calculus SLP for subset-Minimal Change -- 6.3 R-Calculus TLP for preceq-Minimal Change -- References -- 7 R-Calculi for First-Order Logic -- 7.1 R-Calculus for subseteq-Minimal Change -- 7.1.1 R-Calculus SFOL for a Formula -- 7.1.2 R-Calculus SFOL for a Theory -- 7.2 R-Calculus for preceq-Minimal Change -- 7.2.1 R-Calculus TFOL for a Formula -- 7.2.2 R-Calculus TFOL for a Theory -- References -- 8 Nonmonotonicity of R-Calculus -- 8.1 Nonmonotonic Propositional Logic -- 8.1.1 Monotonic Gentzen Deduction System G'1 -- 8.1.2 Nonmonotonic Gentzen Deduction System Logic G2 -- 8.1.3 Nonmonotonicity of G2 -- 8.2 Involvement of ΓA in a Nonmonotonic Logic -- 8.2.1 Default Logic -- 8.2.2 Circumscription -- 8.2.3 Autoepistemic Logic -- 8.2.4 Logic Programming with Negation as Failure -- 8.3 Correspondence Between R-Calculus and Default Logic -- 8.3.1 Transformation from R-Calculus to Default Logic -- 8.3.2 Transformation from Default Logic to R-Calculus -- References -- 9 Approximate R-Calculus -- 9.1 Finite Injury Priority Method -- 9.1.1 Post's Problem -- 9.1.2 Construction with Oracle -- 9.1.3 Finite Injury Priority Method -- 9.2 Approximate Deduction -- 9.2.1 Approximate Deduction System for First-Order Logic -- 9.3 R-Calculus Fapp and Finite Injury Priority Method -- 9.3.1 Construction with Oracle -- 9.3.2 Approximate Deduction System Fapp -- 9.3.3 Recursive Construction -- 9.3.4 Approximate R-Calculus Frec -- 9.4 Default Logic and Priority Method -- 9.4.1 Construction of an Extension Without Injury. 9.4.2 Construction of a Strong Extension with Finite Injury Priority Method -- References -- 10 An Application to Default Logic -- 10.1 Default Logic and Subset-Minimal Change -- 10.1.1 Deduction System SD for a Default -- 10.1.2 Deduction System SD for a Set of Defaults -- 10.2 Default Logic and Pseudo-subformula-minimal Change -- 10.2.1 Deduction System TD for a Default -- 10.2.2 Deduction System TD for a Set of Defaults -- 10.3 Default Logic and Deduction-Based Minimal Change -- 10.3.1 Deduction System UD for a Default -- 10.3.2 Deduction System UD for a Set of Defaults -- References -- 11 An Application to Semantic Networks -- 11.1 Semantic Networks -- 11.1.1 Basic Definitions -- 11.1.2 Deduction System G4 for Semantic Networks -- 11.1.3 Soundness and Completeness Theorem -- 11.2 R-Calculus for subseteq-Minimal Change -- 11.2.1 R-Calculus SSN for a Statement -- 11.2.2 Soundness and Completeness Theorem -- 11.2.3 Examples -- 11.3 R-Calculus for preceq-Minimal Change -- 11.3.1 R-Calculus TSN for a Statement -- 11.3.2 Soundness and Completeness Theorem of TSN -- References -- Index. |
Record Nr. | UNINA-9910508455003321 |
Li Wei
![]() |
||
Singapore : , : Springer, , [2021] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
R-calculus, III : post three-valued logic / / Wei Li, Yuefei Sui |
Autore | Li Wei |
Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (284 pages) |
Disciplina | 515 |
Collana | Perspectives in formal induction, revision and evolution |
Soggetto topico |
Calculus
Computer logic Proof theory |
ISBN | 981-19-4270-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface to the Series -- Preface -- Contents -- 1 Introduction -- 1.1 Three-Valued Logics -- 1.2 Deduction Systems -- 1.3 R-Calculi -- 1.4 More -- 1.5 Basic Definitions -- 1.5.1 Post Three-Valued Logic -- 1.5.2 Post Three-Valued Description Logic -- 1.5.3 Remarks -- 1.6 Types of Deduction Rules -- 1.7 Notations -- References -- 2 Many-Placed Sequents -- 2.1 Zach's Theorem -- 2.2 Analysis of Zach's Theorem -- 2.3 Tableau Proof Systems -- 2.3.1 Tableau Proof System Tt -- 2.3.2 Tableau Proof System Tm -- 2.3.3 Tableau Proof System Tf -- 2.4 Incompleteness of Deduction System T'' -- References -- 3 Modalized Three-Valued Logics -- 3.1 Bochvar Three-Valued Logic -- 3.1.1 Basic Definitions -- 3.1.2 Multisequent Deduction System Mb -- 3.2 Kleene Three-Valued Logic -- 3.2.1 Basic Definitions -- 3.2.2 Gentzen Deduction System Gk -- 3.3 Łukasiewicz's Three-Valued Logic -- 3.3.1 Basic Definitions -- 3.3.2 Tableau Proof System Tl -- References -- 4 Post Three-Valued Logic -- 4.1 Theories -- 4.1.1 Tableau Proof System Tt -- 4.1.2 Tableau Proof System Tm -- 4.1.3 Tableau Proof System Tf -- 4.1.4 Transformations -- 4.1.5 Tableau Proof System Tt -- 4.1.6 Tableau Proof System Tm -- 4.1.7 Tableau Proof System Tf -- 4.2 Sequents -- 4.2.1 Gentzen Deduction System Gt -- 4.2.2 Gentzen Deduction System Gm -- 4.2.3 Gentzen Deduction System Gf -- 4.2.4 Gentzen Deduction System Gt -- 4.2.5 Gentzen Deduction System Gm -- 4.2.6 Gentzen Deduction System Gf -- 4.3 Multisequents -- 4.3.1 Gentzen Deduction System M= -- 4.3.2 Simplified Ms= -- 4.3.3 Gentzen Deduction System M= -- 4.3.4 Simplified Ms= -- 4.3.5 Cut Elimination Theorem -- References -- 5 R-Calculi for Post Three-Valued Logic -- 5.1 R-Calculus for Theories -- 5.1.1 R-Calculus Rt -- 5.1.2 R-Calculus Rt -- 5.2 R-Calculi East for Sequents -- 5.2.1 R-Calculus Et -- 5.2.2 R-Calculus Em -- 5.2.3 Basic Theorems.
5.3 R-Calculi for Multisequents -- 5.3.1 R-Calculus K= -- 5.3.2 Simplified K=s -- 5.3.3 R-Calculus K= -- 5.3.4 R-Calculus K=s -- References -- 6 Post Three-Valued Description Logic -- 6.1 Theories -- 6.1.1 Tableau Proof System St -- 6.1.2 Tableau Proof System St -- 6.2 Sequents -- 6.2.1 Gentzen Deduction System Ft -- 6.2.2 Gentzen Deduction System Ft -- 6.3 Multisequents -- 6.3.1 Gentzen Deduction System L= -- 6.3.2 Simplified Ls= -- 6.3.3 Gentzen Deduction System L= -- 6.3.4 Simplified Ls= -- References -- 7 R-Calculi for Post Three-Valued Description Logic -- 7.1 R-Calculus for Theories -- 7.1.1 R-Calculus Qt -- 7.1.2 R-Calculus Qt -- 7.2 R-Calculi for Sequents -- 7.2.1 R-Calculus Dt -- 7.2.2 R-Calculus Dm -- 7.3 R-Calculi for Multisequents -- 7.3.1 R-Calculus J= -- 7.3.2 Simplified J=s -- 7.3.3 Simplified J= -- References -- 8 R-Calculi for Corner Multisequents -- 8.1 Corner Multisequents MQQQ= -- 8.1.1 Axioms -- 8.1.2 Deduction Rules -- 8.1.3 Deduction Systems -- 8.2 Corner Multisequents MQQQ= -- 8.2.1 Axioms -- 8.2.2 Deduction Rules -- 8.2.3 Deduction Systems -- 8.3 R-Calculi KQQQ=/KQQQ= -- 8.3.1 Axioms -- 8.3.2 Deduction Rules -- 8.3.3 Deduction Systems -- 8.4 R-Calculi JQQQ=/JQQQ= -- 8.4.1 Axioms -- 8.4.2 Deduction Rules -- 8.4.3 Deduction Systems -- References -- 9 General Multisequents -- 9.1 General Multisequents -- 9.2 Axioms -- 9.2.1 Axioms for M=/M= -- 9.2.2 Axioms for L=/L=-Validity -- 9.3 Deduction Rules -- 9.4 Deduction Systems -- References -- 10 R-Calculi for General Multisequents -- 10.1 R-Calculi K=Q1Q2Q3/K=Q1Q2Q3/J=Q1Q2Q3/J=Q1Q2Q3 -- 10.2 Axioms -- 10.2.1 Axioms for K=Q1Q2Q3/K=Q1Q2Q3 -- 10.2.2 Axioms for J=Q1Q2Q3/J=Q1Q2Q3 -- 10.3 Deduction Rules -- 10.3.1 R+= -- 10.3.2 R+= -- 10.3.3 R-= -- 10.3.4 R-= -- 10.4 Deduction Systems -- References. |
Record Nr. | UNISA-996499855203316 |
Li Wei
![]() |
||
Singapore : , : Springer, , [2022] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
R-calculus, III : post three-valued logic / / Wei Li, Yuefei Sui |
Autore | Li Wei |
Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
Descrizione fisica | 1 online resource (284 pages) |
Disciplina | 515 |
Collana | Perspectives in formal induction, revision and evolution |
Soggetto topico |
Calculus
Computer logic Proof theory |
ISBN | 981-19-4270-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface to the Series -- Preface -- Contents -- 1 Introduction -- 1.1 Three-Valued Logics -- 1.2 Deduction Systems -- 1.3 R-Calculi -- 1.4 More -- 1.5 Basic Definitions -- 1.5.1 Post Three-Valued Logic -- 1.5.2 Post Three-Valued Description Logic -- 1.5.3 Remarks -- 1.6 Types of Deduction Rules -- 1.7 Notations -- References -- 2 Many-Placed Sequents -- 2.1 Zach's Theorem -- 2.2 Analysis of Zach's Theorem -- 2.3 Tableau Proof Systems -- 2.3.1 Tableau Proof System Tt -- 2.3.2 Tableau Proof System Tm -- 2.3.3 Tableau Proof System Tf -- 2.4 Incompleteness of Deduction System T'' -- References -- 3 Modalized Three-Valued Logics -- 3.1 Bochvar Three-Valued Logic -- 3.1.1 Basic Definitions -- 3.1.2 Multisequent Deduction System Mb -- 3.2 Kleene Three-Valued Logic -- 3.2.1 Basic Definitions -- 3.2.2 Gentzen Deduction System Gk -- 3.3 Łukasiewicz's Three-Valued Logic -- 3.3.1 Basic Definitions -- 3.3.2 Tableau Proof System Tl -- References -- 4 Post Three-Valued Logic -- 4.1 Theories -- 4.1.1 Tableau Proof System Tt -- 4.1.2 Tableau Proof System Tm -- 4.1.3 Tableau Proof System Tf -- 4.1.4 Transformations -- 4.1.5 Tableau Proof System Tt -- 4.1.6 Tableau Proof System Tm -- 4.1.7 Tableau Proof System Tf -- 4.2 Sequents -- 4.2.1 Gentzen Deduction System Gt -- 4.2.2 Gentzen Deduction System Gm -- 4.2.3 Gentzen Deduction System Gf -- 4.2.4 Gentzen Deduction System Gt -- 4.2.5 Gentzen Deduction System Gm -- 4.2.6 Gentzen Deduction System Gf -- 4.3 Multisequents -- 4.3.1 Gentzen Deduction System M= -- 4.3.2 Simplified Ms= -- 4.3.3 Gentzen Deduction System M= -- 4.3.4 Simplified Ms= -- 4.3.5 Cut Elimination Theorem -- References -- 5 R-Calculi for Post Three-Valued Logic -- 5.1 R-Calculus for Theories -- 5.1.1 R-Calculus Rt -- 5.1.2 R-Calculus Rt -- 5.2 R-Calculi East for Sequents -- 5.2.1 R-Calculus Et -- 5.2.2 R-Calculus Em -- 5.2.3 Basic Theorems.
5.3 R-Calculi for Multisequents -- 5.3.1 R-Calculus K= -- 5.3.2 Simplified K=s -- 5.3.3 R-Calculus K= -- 5.3.4 R-Calculus K=s -- References -- 6 Post Three-Valued Description Logic -- 6.1 Theories -- 6.1.1 Tableau Proof System St -- 6.1.2 Tableau Proof System St -- 6.2 Sequents -- 6.2.1 Gentzen Deduction System Ft -- 6.2.2 Gentzen Deduction System Ft -- 6.3 Multisequents -- 6.3.1 Gentzen Deduction System L= -- 6.3.2 Simplified Ls= -- 6.3.3 Gentzen Deduction System L= -- 6.3.4 Simplified Ls= -- References -- 7 R-Calculi for Post Three-Valued Description Logic -- 7.1 R-Calculus for Theories -- 7.1.1 R-Calculus Qt -- 7.1.2 R-Calculus Qt -- 7.2 R-Calculi for Sequents -- 7.2.1 R-Calculus Dt -- 7.2.2 R-Calculus Dm -- 7.3 R-Calculi for Multisequents -- 7.3.1 R-Calculus J= -- 7.3.2 Simplified J=s -- 7.3.3 Simplified J= -- References -- 8 R-Calculi for Corner Multisequents -- 8.1 Corner Multisequents MQQQ= -- 8.1.1 Axioms -- 8.1.2 Deduction Rules -- 8.1.3 Deduction Systems -- 8.2 Corner Multisequents MQQQ= -- 8.2.1 Axioms -- 8.2.2 Deduction Rules -- 8.2.3 Deduction Systems -- 8.3 R-Calculi KQQQ=/KQQQ= -- 8.3.1 Axioms -- 8.3.2 Deduction Rules -- 8.3.3 Deduction Systems -- 8.4 R-Calculi JQQQ=/JQQQ= -- 8.4.1 Axioms -- 8.4.2 Deduction Rules -- 8.4.3 Deduction Systems -- References -- 9 General Multisequents -- 9.1 General Multisequents -- 9.2 Axioms -- 9.2.1 Axioms for M=/M= -- 9.2.2 Axioms for L=/L=-Validity -- 9.3 Deduction Rules -- 9.4 Deduction Systems -- References -- 10 R-Calculi for General Multisequents -- 10.1 R-Calculi K=Q1Q2Q3/K=Q1Q2Q3/J=Q1Q2Q3/J=Q1Q2Q3 -- 10.2 Axioms -- 10.2.1 Axioms for K=Q1Q2Q3/K=Q1Q2Q3 -- 10.2.2 Axioms for J=Q1Q2Q3/J=Q1Q2Q3 -- 10.3 Deduction Rules -- 10.3.1 R+= -- 10.3.2 R+= -- 10.3.3 R-= -- 10.3.4 R-= -- 10.4 Deduction Systems -- References. |
Record Nr. | UNINA-9910631080703321 |
Li Wei
![]() |
||
Singapore : , : Springer, , [2022] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
R-Calculus, IV : propositional logic / / Wei Li and Yuefei Sui |
Autore | Li Wei |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Singapore : , : Springer, , [2023] |
Descrizione fisica | 1 online resource (264 pages) |
Disciplina | 810 |
Collana | Perspectives in Formal Induction, Revision and Evolution |
Soggetto topico | Propositional calculus |
ISBN |
9789811986338
9789811986321 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- R-calculus for simplified propositional logics -- R-calculi for tableau/Gentzen deduction systems -- R-calculi RQ1Q2/RQ1Q2 -- R-calculi RQ1iQ2j/RQ1iQ2j -- R-Calculi: RY1Q1iY2Q2j/RY1Q1iY2Q2j -- R-calculi for supersequents -- R-calculi for propositional logic. |
Record Nr. | UNINA-9910683352003321 |
Li Wei
![]() |
||
Singapore : , : Springer, , [2023] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
R-Calculus, IV : propositional logic / / Wei Li and Yuefei Sui |
Autore | Li Wei |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Singapore : , : Springer, , [2023] |
Descrizione fisica | 1 online resource (264 pages) |
Disciplina | 810 |
Collana | Perspectives in Formal Induction, Revision and Evolution |
Soggetto topico | Propositional calculus |
ISBN |
9789811986338
9789811986321 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- R-calculus for simplified propositional logics -- R-calculi for tableau/Gentzen deduction systems -- R-calculi RQ1Q2/RQ1Q2 -- R-calculi RQ1iQ2j/RQ1iQ2j -- R-Calculi: RY1Q1iY2Q2j/RY1Q1iY2Q2j -- R-calculi for supersequents -- R-calculi for propositional logic. |
Record Nr. | UNISA-996546834003316 |
Li Wei
![]() |
||
Singapore : , : Springer, , [2023] | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
|
R-Calculus, V: Description Logics [[electronic resource] /] / by Wei Li, Yuefei Sui |
Autore | Li Wei |
Edizione | [1st ed. 2024.] |
Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
Descrizione fisica | 1 online resource (XIII, 384 p. 4 illus., 1 illus. in color.) |
Disciplina | 005.131 |
Collana | Perspectives in Formal Induction, Revision and Evolution |
Soggetto topico |
Machine theory
Mathematical logic Logic programming Mathematical models Computer science - Mathematics Big data Formal Languages and Automata Theory Mathematical Logic and Foundations Logic in AI Mathematical Modeling and Industrial Mathematics Mathematics of Computing Big Data |
ISBN | 981-9964-60-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Decidable DLs 30 -- R-calculus for binary-valued description logic -- R-calculi for Post three-valued DL -- R-calculi for B22-valued DL -- R-calculi for Post L4 -valued DL -- Undecidable DLs -- Introduction -- Role R-calculus for binary-valued DL -- Role R-calculus for Post three-valued DL -- Role R-calculus for B22 -valued DL -- Role R-calculus for Post L4-valued DL -- A Finite injury priority method. |
Record Nr. | UNINA-9910799238103321 |
Li Wei
![]() |
||
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|