## Logic and Its Applications: Third Indian Conference, ICLA 2009, Chennai, India, January 7-11, 2009, ProceedingsR. Ramanujam, Sundar Sarukkai Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 5th volume of the FoLLI LNAI subline. It contains the refereed proceedings of the Third Indian Conference on Logic and Its Applications, ICLA 2009, held in Chennai, India, in January 2009. The 12 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from numerous submissions. The papers present current research in all aspects of formal logic. They address in detail: algebraic logic and set theory, combinatorics and philosophical logic, modal logics with applications to computer science and game theory, and connections between ancient logic systems and modern systems. |

### Contents

A Logical Perspective | 1 |

An Application of Logic to Logic | 23 |

Some Second Order Set Theory | 36 |

Connection Matrices for MSOLDefinable Structural Invariants | 51 |

Knowledge Games and Tales from the East | 65 |

A Para Consistent Fuzzy Logic | 77 |

From Philosophical to Industrial Logics | 89 |

Game Quantification Patterns | 116 |

Algebraic Study of LatticeValued Logic and LatticeValued Modal Logic | 170 |

A General Setting for the Pointwise Investigation of Determinacy | 185 |

A TwoDimensional Hybrid Logic of Subset Spaces | 196 |

A Unified Framework for Certificate and Compilation for QBF | 210 |

Towards Decidability of Conjugacy of Pairs and Triples | 224 |

Gautama Ontology Editor Based on Nyaya Logic | 232 |

Formal Definitions of Reason Fallacies to Aid Defect Exploration in Argument Gaming | 243 |

Dialogue with Nagarjuna | 257 |

Extensive Questions | 131 |

An Analytic Logic of Aggregation | 146 |

Instantial Relevance in Polyadic Inductive Logic | 162 |