Forskning og publikasjoner

Mine akademiske interesser er hovedsaklig logiske kalkyler, bevisteori, matematisk logikk, kompleksitetsteori, cellulære automater, kombinatorikk og matematikkfilosofi, men jeg er også interessert i algoritmisk kunst, grafikk og visualiseringer. Min doktorgradsavhandling handler om sekventkalkyler for førsteordens logikk med frie variabler.

Det som har vært i fokus i forskningen min, har vært en metode som kalles variabel-splitting. Dette er en metode som er anvendbar på fri-variabel-tablå, fri-variabel-sekventkalkyler, «connection»-metoder, og matrisekarakteriseringer, som reduserer overflødigheter i søkerommet ved å utnytte et forhold mellom forgrenende formler og universelle formler. Ved å bruke kontekstuell informasjon til å skille mellom forekomster av frie variabler, kan metoden brukes til å tilordne forskjellige verdier til disse forekomstene på en konsistent måte. Les mer i min doktorgradsavhandling.

Publikasjoner

Roger Antonsen
Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
@InProceedings{Antonsen18,
  author =       {Roger Antonsen},
  title =        {Card Shuffling Visualizations},
  booktitle =    {Proceedings of Bridges 2018: Mathematics, Art,
                  Music, Architecture, Education, Culture},
  year =         2018,
  note =         {To Appear}
}     
Roger Antonsen, Andreas Nakkerud
Studia Logica, Stud Logica (2018) volume 106, issue 1, pages 215–218, Springer Netherlands, 2018.
@article{AntonsenNakkerud18,
  author =       {Roger Antonsen and Andreas Nakkerud},
  title =        {Book Review: Jan von Plato, Elements of Logical Reasoning},
  journal =      {Studia Logica},
  year =         2018,
  month =        February,
  volume =       106,
  number =       1,
  pages =        {215--218},
  issn =         {0039-3215},
  url =          {https://doi.org/10.1007/s11225-018-9783-y},
  doi =          {10.1007/s11225-018-9783-y},
  publisher =    {Springer Netherlands},
}     
Christian Mahesh Hansen, Roger Antonsen, Martin Giese, Arild Waaler
Journal of Symbolic Computation, volume 47, number 9, pages 1046–1065, Springer-Verlag, 2012.
@article{HansenAntonsenGieseWaaler12,
  author =    {Christian Mahesh Hansen and Roger Antonsen Martin Giese and Arild Waaler},
  title =     {Incremental {V}ariable {S}plitting},
  journal =   {Journal of {S}ymbolic {C}omputation},
  volume =    47,
  number =    9,
  pages =     {1046–1065},
  year =      2012,
  publisher = {Springer-Verlag},
  ee =        {http://dx.doi.org/10.1016/j.jsc.2011.12.032}
}     
Roger Antonsen
Doktorgradsavhandling, Institutt for informatikk, Universitetet i Oslo, 2008.
@PhdThesis{Antonsen08,
  author =   {Roger Antonsen},
  title =    {The {M}ethod of {V}ariable {S}plitting},
  school =   {University of Oslo},
  year =     2008,
  key =      {Automated Reasoning, Logic, Proof Theory, Connection Method, Tableau Calculus},
  address =  {Department of Informatics},
  month =    {June}
}     
Christian Mahesh Hansen, Roger Antonsen, Arild Waaler
In Nicola Olivetti and Camilla Schwind, editors, TABLEAUX '07, Automated Reasoning with Analytic Tableaux and Related Methods, Position Papers, LSIS.RR.2007.002, 2007.
@InProceedings{HansenAntonsenWaaler07,
  author =    {Christian Mahesh Hansen and Roger Antonsen and Arild Waaler},
  title =     {Incremental {C}losure of {V}ariable {S}plitting {T}ableaux},
  year =      2007,
  booktitle = {TABLEAUX '07, Automated Reasoning with Analytic Tableaux and Related Methods, Position Papers},
  editor =    {Nicola Olivetti and Camilla Schwind},
  pages =     {65–78},
  publisher = {LSIS},
  volume =    {LSIS.RR.2007.002}
}     
Roger Antonsen, Arild Waaler
In Frank Pfenning, editor, CADE-21, 21th International Conference on Automated Deduction, Bremen, Germany, volume 4603, pages 132–146, Lecture Notes in Computer Science, Springer-Verlag, 2007.
@InProceedings{AntonsenWaaler07b,
  author =    {Roger Antonsen and Arild Waaler},
  editor =    {Frank Pfenning},
  title =     {A {L}abelled {S}ystem for {IPL} with {V}ariable {S}plitting},
  booktitle = {CADE-21, 21th International Conference on Automated Deduction, Bremen, Germany},
  volume =    4603,
  series =    {Lecture Notes in Computer Science},
  publisher = {Springer-Verlag},
  year =      {2007},
  isbn =      {978-3-540-73594-6},
  pages =     {132–146},
  ee =        {http://dx.doi.org/10.1007/978-3-540-73595-3_10}
}     
Roger Antonsen and Arild Waaler
Journal of Automated Reasoning, volume 38(1–3), pages 3–30, 2007.
@ARTICLE{AntonsenWaaler07,
  author =   {Roger Antonsen and Arild Waaler},
  title =    {Liberalized {V}ariable {S}plitting},
  journal =  {Journal of Automated Reasoning},
  year =     {2007},
  number =   {1–3},
  volume =   38,
  ee =       {http://dx.doi.org/10.1007/s10817-006-9055-9},
  pages =    {3–30}
}     
Roger Antonsen and Arild Waaler
In Bernhard Beckert, editor, Automated Reasoning with Analytic Tableaux and Related Methods: 14th International Conference, TABLEAUX, Koblenz, Germany, volume 3702 of Lecture Notes in Computer Science, pages 33-47, Springer-Verlag, 2005.
@InProceedings{AntonsenWaaler05,
  author =    {Roger Antonsen and Arild Waaler},
  title =     {Consistency of {V}ariable {S}plitting in {F}ree {V}ariable {S}ystems of {F}irst-{O}rder {L}ogic},
  booktitle = {Automated Reasoning with Analytic Tableaux and Related Methods: 14th International Conference, TABLEAUX, Koblenz, Germany},
  year =      2005,
  pages =     {33–47},
  series =    {Lecture Notes in Computer Science},
  editor =    {Bernhard Beckert},
  volume =    3702,
  isbn =      {3-540-28931-3},
  publisher = {Springer-Verlag},
  ee        = {http://dx.doi.org/10.1007/11554554_5}
}     
Roger Antonsen
In Contributions to the Doctoral Programme of the Second International Joint Conference on Automated Reasoning (IJCAR 2004), Cork, Ireland, 04 July – 08 July, 2004, volume 106, pages 1–5, CEUR Workshop Proceedings, 2004.
@InProceedings{Antonsen04,
  author =    {Roger Antonsen},
  title =     {Uniform {V}ariable {S}plitting},
  year =      2004,
  booktitle = {Contributions to the Doctoral Programme of the Second International Joint Conference on Automated Reasoning (IJCAR 2004), Cork, Ireland, 04 July – 08 July, 2004},
  volume =    106,
  publisher = CEUR Workshop Proceedings},
  pages =     {1–5},
  issn =      {1613–0073},
  ee =        {http://ceur-ws.org/Vol-106/01-antonsen.pdf}
}     
Arild Waaler and Roger Antonsen
In Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX, Rome, Italy, Lecture Notes in Computer Science, volume 2796, pages 214–229, Springer-Verlag, 2003.
@InProceedings{WaalerAntonsen03,
  author =    {Arild Waaler and Roger Antonsen},
  title =     {A {F}ree {V}ariable {S}equent {C}alculus with {U}niform {V}ariable {S}plitting},
  booktitle = {Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX, Rome, Italy},
  year =      2003,
  pages =     {214–229},
  series =    {Lecture Notes in Computer Science},
  number =    2796,
  publisher = {Springer-Verlag},
  ee        = {http://dx.doi.org/10.1007/978-3-540-45206-5_17}
}     
Roger Antonsen
Master Thesis, Language, Logic and Information, Department of Linguistics, University of Oslo, 2003.
@mastersthesis{Antonsen03,
  author =   {Roger Antonsen},
  title =    {Free {V}ariable {S}equent {C}alculi},
  year =     2003,
  month =    {May},
  address =  {Language, Logic and Information, Department of Linguistics},
  school =   {University of Oslo},
  publisher = {University of Oslo}
}     

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