Partial Algebras, Universal Algebra, Rough Set Theory
Algebraic Logic, Dialectical Logic, Algebras of Quantum Logic,
Logic, Semigroups, Partially Ordered Sets
Some Research Papers (Recent)
Mani, A.
"Towards an Algebraic Approach for
Cover Based Rough Semantics and Combinations of Approximation Spaces"
Submitted, 2009
Mani, A. "Integrated Dialectical Semantics for Relativised Rough Set Theory"
Internat. Conf. on Rough Sets, Fuzzy Sets and Soft Computing,
Tripura University, India 2009
Mani, A. "Algebraic Semantics of Similarity Based Bitten Rough Set Theory"
Fundamenta Informaticae 2009, 18pp
Mani, A. "Meaning, Choice and Algebraic Semantics of Similarity Based Rough Set Theory"
ICLA'2009 Accepted, 2008, 12pp
Mani, A. "Choice Based Generalized Rough Semantics and Modal Logics"
To Be Submitted 2008, 50+pp
Mani, A. "Consistency in Knowledge Frameworks and Euclidean Granular Rough Semantics"
Submitted
Mani, A. "Dialectically Presentable Logics with Applications to FOM"
To Appear
Mani, A. "Definable and Applicable Rough Reals"
Submitted
Mani, A. "Esoteric Rough Set Theory: Algebraic Semantics of a Generalized VPRS and VPRFS"
Transactions in Rough Sets Vol-VIII,LNCS 5084, 2008, 175--223
Mani, A. "Di-Algebraic Semantics of Logics" Fundamenta Informaticae70, (4) 2006, 333--350
Mani, A. "Super Rough Semantics" Fundamenta Informaticae65, 2005, 1--13
Mani, A.
"A Partial-Algebraic Logic of TQBAs" Preprint, 2007
(To be Submitted)
Mani, A. "Rough Equalities on Posets and Rough Difference Orders" Fund. Informat.53 (3,4) 2002, 321--333
Mani, A. "Representation of TQBA and Variants" Preprint, 2004 (to appear)
Mani, A. "V-Perspectives, Pseudo-Natural Number Systems and Partial Orders" Glasnik Math Vol.37 (57) 2002, 245-257
Mani, A. "Constrained Abstract Representation Problems in Semigroups and Partial Groupoids" Glasnik Math.39 (59) 2004, 245--255
Mani, A. "Dialectically Presentable Logics"
Preprint, 2006
Mani, A. "Concrete Representation Theorems for Generalized Closure Operators"
Under Revision
Mani, A. "The Logic of Topological Quasi Boolean Algebras" Preprint
Mani, A. "Algebraic Semantics of Rough Difference Orders"
Internat. Symposium on Mathematics at the Cal.Math.Soc. Dec`20-22, 2002
Mani, A. "Abstract Representation for Partial Difference Lattices"
Internat. Seminar on Mathematics and its appl at the Cal. Math. Soc.`2001
Mani, A. "Partial Stems, Retracts, Structure Theorems and Refinement Classes of CL-algebras" Accepted, Int. Sem. on Math and its Applic. at the Cal. Math. Soc.`Dec.2003
Mani, A. "A Dialectical Partial Algebraic Approach to Non-Monotone Logics"
Seminar on Trends in Mathematics, organized by the Univ of Calcutta `Feb 20-21`2002
Mani, A. "On the Notions, the Philosophies and the Truths of Dialectical Logics"
Summer School and Seminar on Logic and Cognition organized by the CLC, CU and the Univ. of Jadavpur, Calcutta `Jun'1999
Preprints, Others (Recent)
Mani, A. "Dialectics of Algebraic Logic"
Preprint. Seminar on Logic and Semantics organized by the Calcutta Logic Circle at J.U. Oct' 2005
Mani, A. "Model-theoretic Approach to Generalized Inverses in Semigroups"
Preprint'1999
Mani, A. "Problems Arising at the Underlying Language of a Given Formal Logic"
Preprint. Seminar on Logic and Computing organized by the Calcutta Logic Circle at C.U. 2001
Mani, A. "Dialectical Connectionist Models"
Under Revision, Preprint'2001
Mani, A. "Subset F-Distinct Partial Algebras"
Preprint'2000 (to be submitted)
Mani, A. "Possible Course Designs for Universal Algebra for Logic"
Preprint, 2002, revised 2005
Mani, A. "Special Courses for Interdisciplinary Interaction at the Research Level" N Bull.Cal.Math.Soc23 (3,4) 2000, 17--20
Conference Participation
Fifteen Major Conferences in Mathematics, Logic or Philosophy