Logic and Its Applications

This book collects the refereed proceedings of the 6th Indian Conference on Logic and Its Applications, ICLA 2015, held in Mumbai, India, in January 2015. The volume contains 13 full revised papers along with 3 invited talks presented at the conference. The papers were selected after rigorous review, from 23 submissions. They cover topics related to pure and applied formal logic, foundations and philosophy of mathematics and the sciences, set theory, model theory, proof theory, areas of theoretical computer science, artificial intelligence, systems of logic in the Indian tradition, and other disciplines which are of direct interest to mathematical and philosophical logic.

This book collects the refereed proceedings of the 6th Indian Conference on Logic and Its Applications, ICLA 2015, held in Mumbai, India, in January 2015. The volume contains 13 full revised papers along with 3 invited talks presented at the conference. The papers were selected after rigorous review, from 23 submissions. They cover topics related to pure and applied formal logic, foundations and philosophy of mathematics and the sciences, set theory, model theory, proof theory, areas of theoretical computer science, artificial intelligence, systems of logic in the Indian tradition, and other disciplines which are of direct interest to mathematical and philosophical logic.

Homotopy Type Theory.- The Relevance of Relevance to Relevance Logic.- Logic-Automata Connections for Transformations.- Truths about Simpson's Paradox: Saving the Paradox from Falsity.- Some instances of graded consequence in the context of interval-valued Semantics.- Neighborhood Contingency Logic.- Hierarchies in inclusion logic with lax semantics.- A Modal Logic for Non-deterministic Information Systems.- Tableaux for non-normal public announcement logic.-A pragmatistic approach to propositional knowledge based on the successful behavior of belief.- Büchi Automata Optimisations Formalised in Isabelle/HOL.- Nēya's logical model for Ascertaining Sound Arguments.- Negative Existentials and Non-denoting Terms.- Ordinals in an algebra-valued model of a paraconsistent set theory.- Extending Carnap's Continuum to Binary Relations. Representing Imperfect Information of Procedures with Hyper Models.