Don Pigozzi

ORCID: 0000-0001-9801-0490
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About
Contact & Profiles
Research Areas
  • Advanced Algebra and Logic
  • Logic, Reasoning, and Knowledge
  • Logic, programming, and type systems
  • Rough Sets and Fuzzy Logic
  • semigroups and automata theory
  • Formal Methods in Verification
  • Fuzzy and Soft Set Theory
  • Computability, Logic, AI Algorithms
  • Rings, Modules, and Algebras
  • Advanced Topics in Algebra
  • graph theory and CDMA systems
  • Mathematics and Applications
  • Distributed systems and fault tolerance
  • Advanced Database Systems and Queries
  • Cryptography and Residue Arithmetic
  • Security and Verification in Computing
  • Coding theory and cryptography
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topology and Set Theory
  • Molecular spectroscopy and chirality
  • Cryptography and Data Security
  • Semantic Web and Ontologies
  • Commutative Algebra and Its Applications
  • Multi-Agent Systems and Negotiation
  • Algebraic structures and combinatorial models

Iowa State University
1995-2018

AMES Group (Spain)
2003

University of Illinois Chicago
1986-1994

University of Pisa
1993

Ames National Laboratory
1974-1991

Justus-Liebig-Universität Gießen
1984

Simon Fraser University
1982

University of Manitoba
1979-1980

Purdue University West Lafayette
1975

Indiana University Bloomington
1971

10.1090/memo/0396 article RO Memoirs of the American Mathematical Society 1989-01-01

10.1023/a:1024621922509 article Studia Logica 2003-01-01

10.1007/bf00370269 article EN Studia Logica 1986-12-01

<inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper Q"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">Q</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathcal {Q}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is any quasivariety. A congruence relation alttext="normal Theta"> mathvariant="normal">Θ<!-- Θ --></mml:mi>...

10.1090/s0002-9947-1988-0946222-1 article EN Transactions of the American Mathematical Society 1988-01-01

10.4064/cm-30-1-15-25 article EN Colloquium Mathematicum 1974-01-01

10.1007/bf02945045 article EN Algebra Universalis 1972-12-01

10.1016/j.apal.2003.11.008 article EN Annals of Pure and Applied Logic 2004-02-24

10.1007/bf01190734 article EN Algebra Universalis 1986-02-01

Object-oriented (OO) programming techniques can be applied to equational specification logics by distinguishing visible data from hidden (that is, the output of methods objects which apply), and then focusing on behavioural equivalence in sense introduced H. Reichel 1984. Equational structured this way are called , HELs. The central problem is how extend a given HEL computationally effective way. S. Buss G. Roşu showed 2000 that not possible general, but much work has been done partial for...

10.1017/s0960129507006305 article EN Mathematical Structures in Computer Science 2007-10-01

In this essay we discuss Tarski's work on what he called the methodology of deductive sciences , or more briefly, borrowing terminology Hilbert, metamathematics The clearest statement views subject can be found in his textbook Introduction to logic [41 m ]. 1 Here describes tasks as “the detailed analysis and critical evaluation fundamental principles that are applied construction mathematics”. He goes describe these are: All expressions discipline under consideration must defined terms a...

10.1017/s0022481200028917 article EN Journal of Symbolic Logic 1988-03-01

10.1016/0304-3975(94)00203-u article EN Theoretical Computer Science 1995-03-01
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